{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:G3SYVT6RQTOGGM4LVN7A5KFELJ","short_pith_number":"pith:G3SYVT6R","canonical_record":{"source":{"id":"2607.22323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ex","submitted_at":"2026-07-24T14:03:07Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"e863be363a63df11c59e05d18761fcb1074d2a616fba97ee008598fab547b88c","abstract_canon_sha256":"60e2a2287dd75730b7c90aff93c383cc3c195be7164805a01002a469ae197bb6"},"schema_version":"1.0"},"canonical_sha256":"36e58acfd184dc63338bab7e0ea8a45a6b50f7dab5d049d5fc09a0b37d403147","source":{"kind":"arxiv","id":"2607.22323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.22323","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"arxiv_version","alias_value":"2607.22323v1","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.22323","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_12","alias_value":"G3SYVT6RQTOG","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_16","alias_value":"G3SYVT6RQTOGGM4L","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_8","alias_value":"G3SYVT6R","created_at":"2026-07-27T01:21:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:G3SYVT6RQTOGGM4LVN7A5KFELJ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.22323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ex","submitted_at":"2026-07-24T14:03:07Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"e863be363a63df11c59e05d18761fcb1074d2a616fba97ee008598fab547b88c","abstract_canon_sha256":"60e2a2287dd75730b7c90aff93c383cc3c195be7164805a01002a469ae197bb6"},"schema_version":"1.0"},"canonical_sha256":"36e58acfd184dc63338bab7e0ea8a45a6b50f7dab5d049d5fc09a0b37d403147","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-27T01:21:02.840600Z","signature_b64":"+r5bALpUmzlA0USkQAgBAjsQGu9BSzMEAOJCSELNkZppxqfZrVNmZKPcddP0lPjpZfXABhxxD1wj4qMquYv1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36e58acfd184dc63338bab7e0ea8a45a6b50f7dab5d049d5fc09a0b37d403147","last_reissued_at":"2026-07-27T01:21:02.839750Z","signature_status":"signed_v1","first_computed_at":"2026-07-27T01:21:02.839750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.22323","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-27T01:21:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"puCcWj/HklS9Slqxg2jAbb02NZYlt3BSKH+tiiN25NnlCKSGz0bog9mhGMLxmJSDJmVxp9zgB/TkJHaZYMJKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:16:40.984307Z"},"content_sha256":"f5e08d2ed5efe5e9d962cb7123bf19e816820d1744e3b917cba5e74fca0cb7fd","schema_version":"1.0","event_id":"sha256:f5e08d2ed5efe5e9d962cb7123bf19e816820d1744e3b917cba5e74fca0cb7fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:G3SYVT6RQTOGGM4LVN7A5KFELJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proton-air interaction properties at $\\sqrt{s} \\simeq 100$ TeV from shower-depth measurements with the Pierre Auger Observatory and their connection to the Muon Puzzle","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"hep-ex","authors_text":"A. Abdul Halim, A. Ambrosone, A.A. Watson, A. Bakalova, A. Baluta, A. Bartz Mocellin, A. Bwembya, A. Castellina, A.C. Cobos Cerutti, A. Cermenati, A.C. Fauth, A.C. Rovero, A. Del Popolo, A. Di Matteo, A.D. Supanitsky, A. Etchegoyen, A. Fernandes, A. Filip\\v{c}i\\v{c}, A. Franco, A. Fuster, A.G. Mariazzi, A. Gorgi, A. Haungs, A. Insolia, A. Klingel, A. Letessier-Selvon, A. Mart\\'inez-Mendez, A. Menshikov, A. Novikov, A. Nucita, A. Reuzki, A. Saftoiu, A. Sedoski, A. Tapia, A. Travaini, A. V\\'asquez-Ram\\'irez, A. Weindl, A. Yushkov, B. Andrada, B. de Errico, B. Fick, B. Flaggs, B. Garc\\'ia, B. Keilhauer, B.L. Lago, B.R. Dawson, B. Rocha Moldes, B. Tom\\'e, B. \\v{C}erm\\'akov\\'a, B. Wundheiler, B. Yue, C. Aramo, C. Berat, C. Bonifazi, C. Dobrigkeit, C.E. Covault, C. Evoli, C. Galea, C. Gaudu, C. Glaser, C. Hojvat, C.J. Todero Peixoto, C. Marinelli, C. Merx, C. Oliveira, C. P\\'erez Bertolli, C. Priyadarshi, C.S. Cruz Sanchez, C. Taricco, C. Timmermans, C. Trimarelli, D. Boncioli, D. Correia dos Santos, D. de Oliveira Franco, D. G\\'ora, D. Mandat, D. Martello, D. Melo, D. Nitz, D. Nosek, D. Ravignani, D. Schmidt, D. Veberi\\v{c}, D. Zavrtanik, E. Avocone, E. De Vito, E. Mayotte, E. Rodriguez, E. Roulet, E. Santos, E.-T. de Boone, E. Varela, E. Zas, F. Barbato, F. Catalani, F. Convenga, F. de Palma, F. Ellwanger, F. Feldbusch, F. Gobbi, F. Gollan, F.G. Schr\\\"oder, F. Guarino, F. Krieger, F. Montanet, F.M. S\\'anchez Rodriguez, F. Riehn, F. Salamida, F. S\\'anchez, F. Sarazin, F. Simon, F. Tairli, G. Avila, G. Cataldi, G. Consolati, G. Farrar, G. Golup, G. Marsella, G. Matthiae, G. Medina-Tanco, G. Nicora, G. Parente, G.P. Guedes, G. Rodriguez Fernandez, G. Salina, G. Sigl, H. Falcke, H.-J. Mathes, H.O. Klages, H. Salazar, H. Schieler, H. Schoorlemmer, H. Wilczy\\'nski, I. Allekotte, I.C. Mari\\c{s}, I. De Mitri, I.D. Vergara Quispe, I. Lhenry-Yvon, I. Vaiman, J.A. Chinellato, J. Alvarez-Mu\\~niz, J. Ammerman Yebra, J. Biteau, J. Blazek, J. Bl\\\"umer, J. Brack, J.B. Vuta, J. Cara\\c{c}a-Valente, J.C. Arteaga Vel\\'azquez, J.C. D'Olivo, J. Chudoba, J. de Jes\\'us, J.D. Sanabria Gomez, J. Ebr, J.F. Vald\\'es Galicia, J. K\\\"ohler, J. Matthews, J.M. Figueira, J. Ochoa, J. Pallotta, J.P. Behler, J.P. Gongora, J. P\\k{e}kala, J. Rautenberg, J.R. H\\\"orandel, J. Ridky, J. Rodriguez Rojo, J.R.T. de Mello Neto, J. Schulte, J. Stasielak, J. Vicha, J.V. Reginatto Akim, K. Almeida Cheminant, K. Bismark, K. Cerny, K. Daumiller, K. Denner Syrokvas, K.-H. Kampert, K. Mulrey, K. Nguyen, K. Pytel, K.S. Caballero-Mora, K. Simkova, L. Anchordoqui, L. Andrade Dourado, L.A. N\\'u\\~nez, L. Apollonio, L. Caccianiga, L. Cazon, L. Chytka, L. Deval, L. G\\\"ulzow, L. Lopes, L.M. Domingues Mendes, L. Miramonti, L. Morejon, L. Nellen, L. No\\v{z}ka, L. \\\"Ostman, L. Perrone, L. Vaclavek, L. Valore, L. Wiencke, M. Aglietta, M. Ahmed, M.A. Leigui de Oliveira, M.A. Martins, M. Bianciotto, M. Boh\\'a\\v{c}ov\\'a, M. Cerda, M. Conte, M. Cristinziani, M.E. Bertaina, M. Erdmann, M. Fern\\'andez Alonso, M. Freitas, M. Giammarco, M. Gottowik, M. Havelka, M. Hrabovsk\\'y, M.I. Micheletti, M. Ismaiel, M. Kleifges, M. Kubatova, M. Mallamaci, M. Mogarkar, M. Niechciol, M. Olegario, M. Palatka, M. Pech, M. Pimenta, M. Platino, M. Prouza, M.R. Hampel, M. Risse, M. Roth, M. Saharan, M. Schimp, M. Scornavacche, M. Straub, M. Tueros, M. Unger, M. Vacula, M. Weitz, M. Zavrtanik, M.Z. Renn\\'o, N. Borodai, N. Denner, N. Gonz\\'alez, N. Kunka, N. Langner, N. Leal, N. San Martin, O. Batalla Cruz, O. Deligny, O. Mart\\'inez Bravo, O. Scholten, O. Tkachenko, P. Abreu, P. Assis, P.F. G\\'omez Vitale, P. Filip, P.G. Brichetto Orquera, P.G. Isar, P. Hamal, P. Hansen, P. Horvath, P. Janecek, P.J. Costa, P.L. Biermann, P.L. Ghia, P. Mantsch, P.O. Mazur, P. Privitera, P. Sampathkumar, P. Savina, P. Schov\\'anek, P. Sommers, P. Stassi, P. Tobiska, P. Travnicek, P. van Dillen, Q. Dorosti, R. Aloisio, R. Caruso, R.C. dos Anjos, R. Colalillo, R. Concei\\c{c}\\~ao, R. Engel, R.M. de Almeida, R. Mussa, R. Pelayo, R. Sarmento, R. Sato, R. Uzeiroska-Geyik, R. \\v{S}m\\'ida, R.W. Clay, S. Buitink, S. Cabana-Freire, S. Dasso, S.E. Nuza, S. Hahn, S.J. De Jong, S.J. Sciutto, S. Mancuso, S. Martinelli, S. Mayotte, S. Michal, S. Mollerach, S. Negi, S. Petrera, S. Querchfeld, S. Rossoni, S. Sehgal, S. Soares Sippert, S. Stani\\v{c}, S. Str\\\"ahnz, S.U. Shivashankara, S. Verpoest, S. Vorobiov, T. Bister, T. Dominguez, T. Fehler, T. Fujii, T. Hebbeker, The Pierre Auger Collaboration, T. Huege, T. Paulsen, T. Pierog, T.R. Caba Pineda, T. Schulz, T. Suomij\\\"arvi, U. Giaccari, V. Binet, V. de Souza, V. Jilek, V.M. Harvey, V. Novotny, V. Rizi, V. Scherini, V. Va\\v{s}\\'i\\v{c}kov\\'a, V. Verzi, V.V. Kizakke Covilakam, W.M. Namasaka, Y. Balibrea, Y.C. Guerra, Y. Dominguez Ballesteros, Y. Lema-Capeans, Z. Svozilikova, Z. Szadkowski","submitted_at":"2026-07-24T14:03:07Z","abstract_excerpt":"Hybrid measurements at the Pierre Auger Observatory indicate that most high-energy hadronic interaction models underestimate the average depth of the shower maximum, $\\langle X_{\\max} \\rangle$, at a center-of-mass energy of $\\sqrt{s}=97.7 \\pm 0.4^{+6.6}_{-6.2}\\,\\mathrm{TeV}$. In this Letter, the hadronic interaction models are shown to follow a universal relation between the predicted $\\langle X_{\\max} \\rangle$ and the mean values of variables characterizing the energy spectra of secondary particles produced in the first interaction of proton-induced air showers. Assuming the validity of these"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.22323","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.22323/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-27T01:21:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v4s2XaaodBcx8EitrPl1jU9WjZZ1BvqRtKBsXem/tsUk9Imq+SsJLYwzyeR7Nb4xRvUN8zJmYBQWC/wUnlVbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:16:40.984908Z"},"content_sha256":"071704716505c0302b5666c9cab471d69cbf2aa4a775a5cb6324ee56949b9512","schema_version":"1.0","event_id":"sha256:071704716505c0302b5666c9cab471d69cbf2aa4a775a5cb6324ee56949b9512"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/bundle.json","state_url":"https://pith.science/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T09:16:40Z","links":{"resolver":"https://pith.science/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ","bundle":"https://pith.science/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/bundle.json","state":"https://pith.science/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G3SYVT6RQTOGGM4LVN7A5KFELJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:G3SYVT6RQTOGGM4LVN7A5KFELJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"60e2a2287dd75730b7c90aff93c383cc3c195be7164805a01002a469ae197bb6","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ex","submitted_at":"2026-07-24T14:03:07Z","title_canon_sha256":"e863be363a63df11c59e05d18761fcb1074d2a616fba97ee008598fab547b88c"},"schema_version":"1.0","source":{"id":"2607.22323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.22323","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"arxiv_version","alias_value":"2607.22323v1","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.22323","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_12","alias_value":"G3SYVT6RQTOG","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_16","alias_value":"G3SYVT6RQTOGGM4L","created_at":"2026-07-27T01:21:02Z"},{"alias_kind":"pith_short_8","alias_value":"G3SYVT6R","created_at":"2026-07-27T01:21:02Z"}],"graph_snapshots":[{"event_id":"sha256:071704716505c0302b5666c9cab471d69cbf2aa4a775a5cb6324ee56949b9512","target":"graph","created_at":"2026-07-27T01:21:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.22323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hybrid measurements at the Pierre Auger Observatory indicate that most high-energy hadronic interaction models underestimate the average depth of the shower maximum, $\\langle X_{\\max} \\rangle$, at a center-of-mass energy of $\\sqrt{s}=97.7 \\pm 0.4^{+6.6}_{-6.2}\\,\\mathrm{TeV}$. In this Letter, the hadronic interaction models are shown to follow a universal relation between the predicted $\\langle X_{\\max} \\rangle$ and the mean values of variables characterizing the energy spectra of secondary particles produced in the first interaction of proton-induced air showers. Assuming the validity of these","authors_text":"A. Abdul Halim, A. Ambrosone, A.A. Watson, A. Bakalova, A. Baluta, A. Bartz Mocellin, A. Bwembya, A. Castellina, A.C. Cobos Cerutti, A. Cermenati, A.C. Fauth, A.C. Rovero, A. Del Popolo, A. Di Matteo, A.D. Supanitsky, A. Etchegoyen, A. Fernandes, A. Filip\\v{c}i\\v{c}, A. Franco, A. Fuster, A.G. Mariazzi, A. Gorgi, A. Haungs, A. Insolia, A. Klingel, A. Letessier-Selvon, A. Mart\\'inez-Mendez, A. Menshikov, A. Novikov, A. Nucita, A. Reuzki, A. Saftoiu, A. Sedoski, A. Tapia, A. Travaini, A. V\\'asquez-Ram\\'irez, A. Weindl, A. Yushkov, B. Andrada, B. de Errico, B. Fick, B. Flaggs, B. Garc\\'ia, B. Keilhauer, B.L. Lago, B.R. Dawson, B. Rocha Moldes, B. Tom\\'e, B. \\v{C}erm\\'akov\\'a, B. Wundheiler, B. Yue, C. Aramo, C. Berat, C. Bonifazi, C. Dobrigkeit, C.E. Covault, C. Evoli, C. Galea, C. Gaudu, C. Glaser, C. Hojvat, C.J. Todero Peixoto, C. Marinelli, C. Merx, C. Oliveira, C. P\\'erez Bertolli, C. Priyadarshi, C.S. Cruz Sanchez, C. Taricco, C. Timmermans, C. Trimarelli, D. Boncioli, D. Correia dos Santos, D. de Oliveira Franco, D. G\\'ora, D. Mandat, D. Martello, D. Melo, D. Nitz, D. Nosek, D. Ravignani, D. Schmidt, D. Veberi\\v{c}, D. Zavrtanik, E. Avocone, E. De Vito, E. Mayotte, E. Rodriguez, E. Roulet, E. Santos, E.-T. de Boone, E. Varela, E. Zas, F. Barbato, F. Catalani, F. Convenga, F. de Palma, F. Ellwanger, F. Feldbusch, F. Gobbi, F. Gollan, F.G. Schr\\\"oder, F. Guarino, F. Krieger, F. Montanet, F.M. S\\'anchez Rodriguez, F. Riehn, F. Salamida, F. S\\'anchez, F. Sarazin, F. Simon, F. Tairli, G. Avila, G. Cataldi, G. Consolati, G. Farrar, G. Golup, G. Marsella, G. Matthiae, G. Medina-Tanco, G. Nicora, G. Parente, G.P. Guedes, G. Rodriguez Fernandez, G. Salina, G. Sigl, H. Falcke, H.-J. Mathes, H.O. Klages, H. Salazar, H. Schieler, H. Schoorlemmer, H. Wilczy\\'nski, I. Allekotte, I.C. Mari\\c{s}, I. De Mitri, I.D. Vergara Quispe, I. Lhenry-Yvon, I. Vaiman, J.A. Chinellato, J. Alvarez-Mu\\~niz, J. Ammerman Yebra, J. Biteau, J. Blazek, J. Bl\\\"umer, J. Brack, J.B. Vuta, J. Cara\\c{c}a-Valente, J.C. Arteaga Vel\\'azquez, J.C. D'Olivo, J. Chudoba, J. de Jes\\'us, J.D. Sanabria Gomez, J. Ebr, J.F. Vald\\'es Galicia, J. K\\\"ohler, J. Matthews, J.M. Figueira, J. Ochoa, J. Pallotta, J.P. Behler, J.P. Gongora, J. P\\k{e}kala, J. Rautenberg, J.R. H\\\"orandel, J. Ridky, J. Rodriguez Rojo, J.R.T. de Mello Neto, J. Schulte, J. Stasielak, J. Vicha, J.V. Reginatto Akim, K. Almeida Cheminant, K. Bismark, K. Cerny, K. Daumiller, K. Denner Syrokvas, K.-H. Kampert, K. Mulrey, K. Nguyen, K. Pytel, K.S. Caballero-Mora, K. Simkova, L. Anchordoqui, L. Andrade Dourado, L.A. N\\'u\\~nez, L. Apollonio, L. Caccianiga, L. Cazon, L. Chytka, L. Deval, L. G\\\"ulzow, L. Lopes, L.M. Domingues Mendes, L. Miramonti, L. Morejon, L. Nellen, L. No\\v{z}ka, L. \\\"Ostman, L. Perrone, L. Vaclavek, L. Valore, L. Wiencke, M. Aglietta, M. Ahmed, M.A. Leigui de Oliveira, M.A. Martins, M. Bianciotto, M. Boh\\'a\\v{c}ov\\'a, M. Cerda, M. Conte, M. Cristinziani, M.E. Bertaina, M. Erdmann, M. Fern\\'andez Alonso, M. Freitas, M. Giammarco, M. Gottowik, M. Havelka, M. Hrabovsk\\'y, M.I. Micheletti, M. Ismaiel, M. Kleifges, M. Kubatova, M. Mallamaci, M. Mogarkar, M. Niechciol, M. Olegario, M. Palatka, M. Pech, M. Pimenta, M. Platino, M. Prouza, M.R. Hampel, M. Risse, M. Roth, M. Saharan, M. Schimp, M. Scornavacche, M. Straub, M. Tueros, M. Unger, M. Vacula, M. Weitz, M. Zavrtanik, M.Z. Renn\\'o, N. Borodai, N. Denner, N. Gonz\\'alez, N. Kunka, N. Langner, N. Leal, N. San Martin, O. Batalla Cruz, O. Deligny, O. Mart\\'inez Bravo, O. Scholten, O. Tkachenko, P. Abreu, P. Assis, P.F. G\\'omez Vitale, P. Filip, P.G. Brichetto Orquera, P.G. Isar, P. Hamal, P. Hansen, P. Horvath, P. Janecek, P.J. Costa, P.L. Biermann, P.L. Ghia, P. Mantsch, P.O. Mazur, P. Privitera, P. Sampathkumar, P. Savina, P. Schov\\'anek, P. Sommers, P. Stassi, P. Tobiska, P. Travnicek, P. van Dillen, Q. Dorosti, R. Aloisio, R. Caruso, R.C. dos Anjos, R. Colalillo, R. Concei\\c{c}\\~ao, R. Engel, R.M. de Almeida, R. Mussa, R. Pelayo, R. Sarmento, R. Sato, R. Uzeiroska-Geyik, R. \\v{S}m\\'ida, R.W. Clay, S. Buitink, S. Cabana-Freire, S. Dasso, S.E. Nuza, S. Hahn, S.J. De Jong, S.J. Sciutto, S. Mancuso, S. Martinelli, S. Mayotte, S. Michal, S. Mollerach, S. Negi, S. Petrera, S. Querchfeld, S. Rossoni, S. Sehgal, S. Soares Sippert, S. Stani\\v{c}, S. Str\\\"ahnz, S.U. Shivashankara, S. Verpoest, S. Vorobiov, T. Bister, T. Dominguez, T. Fehler, T. Fujii, T. Hebbeker, The Pierre Auger Collaboration, T. Huege, T. Paulsen, T. Pierog, T.R. Caba Pineda, T. Schulz, T. Suomij\\\"arvi, U. Giaccari, V. Binet, V. de Souza, V. Jilek, V.M. Harvey, V. Novotny, V. Rizi, V. Scherini, V. Va\\v{s}\\'i\\v{c}kov\\'a, V. Verzi, V.V. Kizakke Covilakam, W.M. Namasaka, Y. Balibrea, Y.C. Guerra, Y. Dominguez Ballesteros, Y. Lema-Capeans, Z. Svozilikova, Z. Szadkowski","cross_cats":["astro-ph.HE"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ex","submitted_at":"2026-07-24T14:03:07Z","title":"Proton-air interaction properties at $\\sqrt{s} \\simeq 100$ TeV from shower-depth measurements with the Pierre Auger Observatory and their connection to the Muon Puzzle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.22323","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f5e08d2ed5efe5e9d962cb7123bf19e816820d1744e3b917cba5e74fca0cb7fd","target":"record","created_at":"2026-07-27T01:21:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"60e2a2287dd75730b7c90aff93c383cc3c195be7164805a01002a469ae197bb6","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ex","submitted_at":"2026-07-24T14:03:07Z","title_canon_sha256":"e863be363a63df11c59e05d18761fcb1074d2a616fba97ee008598fab547b88c"},"schema_version":"1.0","source":{"id":"2607.22323","kind":"arxiv","version":1}},"canonical_sha256":"36e58acfd184dc63338bab7e0ea8a45a6b50f7dab5d049d5fc09a0b37d403147","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36e58acfd184dc63338bab7e0ea8a45a6b50f7dab5d049d5fc09a0b37d403147","first_computed_at":"2026-07-27T01:21:02.839750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-27T01:21:02.839750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+r5bALpUmzlA0USkQAgBAjsQGu9BSzMEAOJCSELNkZppxqfZrVNmZKPcddP0lPjpZfXABhxxD1wj4qMquYv1Bw==","signature_status":"signed_v1","signed_at":"2026-07-27T01:21:02.840600Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.22323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5e08d2ed5efe5e9d962cb7123bf19e816820d1744e3b917cba5e74fca0cb7fd","sha256:071704716505c0302b5666c9cab471d69cbf2aa4a775a5cb6324ee56949b9512"],"state_sha256":"9be4b419a3155a96fbfb9a27ed702e8455a01561779014bba37134d3af3d728f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dXX+DXhsimLNt5YjfSD+9ZEO70ImZMd59EQXiW4kBczSJhImjSxs0Xu7Ddvou99cS/zb3/XQYGHj1aikzpbMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T09:16:40.989154Z","bundle_sha256":"d836aad31b0db160c479ec30e7cafbd41f03ea0c279db8eafe13ab85cb1c12d3"}}