{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SL2M25KEN5G5JIAIAKWYHAPQIY","short_pith_number":"pith:SL2M25KE","canonical_record":{"source":{"id":"2605.12749","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2026-05-12T20:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"a6865ee0570006f450819a3dc24de414991249c24077e1ef7f84a24e8541f7ba","abstract_canon_sha256":"f74285b7e0e640f27d268da8d9a1744dfb4b52343a2ffa8e466c86b2a8c34a28"},"schema_version":"1.0"},"canonical_sha256":"92f4cd75446f4dd4a00802ad8381f0463a6f958f5b9070dba400d87476120b55","source":{"kind":"arxiv","id":"2605.12749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12749","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12749v1","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12749","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"pith_short_12","alias_value":"SL2M25KEN5G5","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"SL2M25KEN5G5JIAI","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"SL2M25KE","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SL2M25KEN5G5JIAIAKWYHAPQIY","target":"record","payload":{"canonical_record":{"source":{"id":"2605.12749","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2026-05-12T20:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"a6865ee0570006f450819a3dc24de414991249c24077e1ef7f84a24e8541f7ba","abstract_canon_sha256":"f74285b7e0e640f27d268da8d9a1744dfb4b52343a2ffa8e466c86b2a8c34a28"},"schema_version":"1.0"},"canonical_sha256":"92f4cd75446f4dd4a00802ad8381f0463a6f958f5b9070dba400d87476120b55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:48.881165Z","signature_b64":"QewmHSN5WTjS9pdjY+f7Xz1mgDxMrcUCWbyEog2hEYwabBrq6B3aIb17f1jBzyc+vYssplV/73HY/2eqSlF4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92f4cd75446f4dd4a00802ad8381f0463a6f958f5b9070dba400d87476120b55","last_reissued_at":"2026-05-18T03:09:48.880334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:48.880334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.12749","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":"2026-05-18T03:09:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cCPxOsio60ME3AP1EunUExMiezLOOzCcCG8WZUe2dY+xnFETil8I3kOVw9WZrum9MFFyyp9nuS6QwjdPfZruAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:03:40.380573Z"},"content_sha256":"f7c579e28128a38cd21fe655dc3a0f55845f3e36fd781b0d42253bbd02050acb","schema_version":"1.0","event_id":"sha256:f7c579e28128a38cd21fe655dc3a0f55845f3e36fd781b0d42253bbd02050acb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SL2M25KEN5G5JIAIAKWYHAPQIY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cocommutative Hopf Dialgebras and Rack Combinatorics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements.","cross_cats":[],"primary_cat":"math.RA","authors_text":"Andr\\'es Sarrazola-Alzate, Jos\\'e Gregorio Rodr\\'iguez-Nieto, Olga Patricia Salazar-D\\'iaz, Ra\\'ul Vel\\'asquez","submitted_at":"2026-05-12T20:56:35Z","abstract_excerpt":"We study cocommutative Hopf dialgebras through generalized digroups and rack combinatorics. We prove that the rack functor obtained from the adjoint rack bialgebra factorizes through the digroup of group-like elements. More precisely, for every cocommutative Hopf dialgebra $A$, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup $\\Glike(A)$. For finite generalized digroups $D\\simeq G\\times E$, with $G$ acting on the halo $E$, we derive explicit formulas for the conjugation rack, its inner group, left-translation cycle index"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For every cocommutative Hopf dialgebra A, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup Glike(A).","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The factorization of the rack functor through the digroup of group-like elements relies on the cocommutativity assumption and on the existence of a well-defined adjoint rack bialgebra structure, both of which are taken as given without further justification in the abstract.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"e32452f6d60c8c5a40d9baf8d9c739c61f06d2f0b82bc97c0d691caecb52b835"},"source":{"id":"2605.12749","kind":"arxiv","version":1},"verdict":{"id":"98662fd3-9d3a-40e2-9153-d01759a4880f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T19:32:18.117722Z","strongest_claim":"For every cocommutative Hopf dialgebra A, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup Glike(A).","one_line_summary":"For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The factorization of the rack functor through the digroup of group-like elements relies on the cocommutativity assumption and on the existence of a well-defined adjoint rack bialgebra structure, both of which are taken as given without further justification in the abstract.","pith_extraction_headline":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements."},"references":{"count":23,"sample":[{"doi":"10.4172/1736-4337.1000244","year":2016,"title":"C. Alexandre, M. Bordemann, S. Rivière and F. Wagemann, Structure theory of rack- bialgebras,Journal of Generalized Lie Theory and Applications10(2016), no. 1, Art. ID 1000244, 1–20. DOI: 10.4172/1736","work_id":"140814c6-7dc1-4345-a997-ee54fc9838c2","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/s0001-8708(02)00071-3","year":2003,"title":"N. Andruskiewitsch and M. Graña, From racks to pointed Hopf algebras,Advances in Mathe- matics178(2003), no. 2, 177–243. DOI: 10.1016/S0001-8708(02)00071-3","work_id":"d5d69439-b34f-48d6-9e2c-a0a3cf2b666e","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1090/s0002-9947-03-03046-0","year":2003,"title":"J. S. Carter, D. Jelsovsky, S. Kamada, L. Langford and M. Saito, Quandle cohomology and state-suminvariantsofknottedcurvesandsurfaces,Transactions of the American Mathematical Society355(2003), no. 10","work_id":"37e4488b-f228-4820-95b3-508b166f2ed0","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/s0022-4049(02)00159-7","year":2003,"title":"P. Etingof and M. Graña, On rack cohomology,Journal of Pure and Applied Algebra177 (2003), no. 1, 49–59. DOI: 10.1016/S0022-4049(02)00159-7","work_id":"e02f9508-a94a-44f2-b4f7-e3bd9681f08a","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1007/bf00872903","year":1995,"title":"R. Fenn, C. Rourke and B. Sanderson, Trunks and classifying spaces,Applied Categorical Structures3(1995), no. 4, 321–356. DOI: 10.1007/BF00872903","work_id":"2eb68624-ef70-41c5-90ee-f8ffba9727f6","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":23,"snapshot_sha256":"49a30879a162208bdafa7dc9bbb31e8034d5fb412587c4d2faf84130470b44e2","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":"98662fd3-9d3a-40e2-9153-d01759a4880f"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:09:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bsyw+wnA7fDLSDmHBycuUp/qSrIKFQGw5Y7r0z2Do8CmUnacTnyP/841MGY1nHpNiTJqFSwcS8c+JHideGsHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:03:40.381810Z"},"content_sha256":"a790911ac9bc09181632a26e3da52a6e50a444f4385a6ff500538fbc33ec370a","schema_version":"1.0","event_id":"sha256:a790911ac9bc09181632a26e3da52a6e50a444f4385a6ff500538fbc33ec370a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/bundle.json","state_url":"https://pith.science/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/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":"2026-05-22T08:03:40Z","links":{"resolver":"https://pith.science/pith/SL2M25KEN5G5JIAIAKWYHAPQIY","bundle":"https://pith.science/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/bundle.json","state":"https://pith.science/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SL2M25KEN5G5JIAIAKWYHAPQIY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SL2M25KEN5G5JIAIAKWYHAPQIY","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":"f74285b7e0e640f27d268da8d9a1744dfb4b52343a2ffa8e466c86b2a8c34a28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2026-05-12T20:56:35Z","title_canon_sha256":"a6865ee0570006f450819a3dc24de414991249c24077e1ef7f84a24e8541f7ba"},"schema_version":"1.0","source":{"id":"2605.12749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12749","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12749v1","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12749","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"pith_short_12","alias_value":"SL2M25KEN5G5","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"SL2M25KEN5G5JIAI","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"SL2M25KE","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:a790911ac9bc09181632a26e3da52a6e50a444f4385a6ff500538fbc33ec370a","target":"graph","created_at":"2026-05-18T03:09:48Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"For every cocommutative Hopf dialgebra A, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup Glike(A)."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The factorization of the rack functor through the digroup of group-like elements relies on the cocommutativity assumption and on the existence of a well-defined adjoint rack bialgebra structure, both of which are taken as given without further justification in the abstract."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements."}],"snapshot_sha256":"e32452f6d60c8c5a40d9baf8d9c739c61f06d2f0b82bc97c0d691caecb52b835"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study cocommutative Hopf dialgebras through generalized digroups and rack combinatorics. We prove that the rack functor obtained from the adjoint rack bialgebra factorizes through the digroup of group-like elements. More precisely, for every cocommutative Hopf dialgebra $A$, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup $\\Glike(A)$. For finite generalized digroups $D\\simeq G\\times E$, with $G$ acting on the halo $E$, we derive explicit formulas for the conjugation rack, its inner group, left-translation cycle index","authors_text":"Andr\\'es Sarrazola-Alzate, Jos\\'e Gregorio Rodr\\'iguez-Nieto, Olga Patricia Salazar-D\\'iaz, Ra\\'ul Vel\\'asquez","cross_cats":[],"headline":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2026-05-12T20:56:35Z","title":"Cocommutative Hopf Dialgebras and Rack Combinatorics"},"references":{"count":23,"internal_anchors":0,"resolved_work":23,"sample":[{"cited_arxiv_id":"","doi":"10.4172/1736-4337.1000244","is_internal_anchor":false,"ref_index":1,"title":"C. Alexandre, M. Bordemann, S. Rivière and F. Wagemann, Structure theory of rack- bialgebras,Journal of Generalized Lie Theory and Applications10(2016), no. 1, Art. ID 1000244, 1–20. DOI: 10.4172/1736","work_id":"140814c6-7dc1-4345-a997-ee54fc9838c2","year":2016},{"cited_arxiv_id":"","doi":"10.1016/s0001-8708(02)00071-3","is_internal_anchor":false,"ref_index":2,"title":"N. Andruskiewitsch and M. Graña, From racks to pointed Hopf algebras,Advances in Mathe- matics178(2003), no. 2, 177–243. DOI: 10.1016/S0001-8708(02)00071-3","work_id":"d5d69439-b34f-48d6-9e2c-a0a3cf2b666e","year":2003},{"cited_arxiv_id":"","doi":"10.1090/s0002-9947-03-03046-0","is_internal_anchor":false,"ref_index":3,"title":"J. S. Carter, D. Jelsovsky, S. Kamada, L. Langford and M. Saito, Quandle cohomology and state-suminvariantsofknottedcurvesandsurfaces,Transactions of the American Mathematical Society355(2003), no. 10","work_id":"37e4488b-f228-4820-95b3-508b166f2ed0","year":2003},{"cited_arxiv_id":"","doi":"10.1016/s0022-4049(02)00159-7","is_internal_anchor":false,"ref_index":4,"title":"P. Etingof and M. Graña, On rack cohomology,Journal of Pure and Applied Algebra177 (2003), no. 1, 49–59. DOI: 10.1016/S0022-4049(02)00159-7","work_id":"e02f9508-a94a-44f2-b4f7-e3bd9681f08a","year":2003},{"cited_arxiv_id":"","doi":"10.1007/bf00872903","is_internal_anchor":false,"ref_index":5,"title":"R. Fenn, C. Rourke and B. Sanderson, Trunks and classifying spaces,Applied Categorical Structures3(1995), no. 4, 321–356. DOI: 10.1007/BF00872903","work_id":"2eb68624-ef70-41c5-90ee-f8ffba9727f6","year":1995}],"snapshot_sha256":"49a30879a162208bdafa7dc9bbb31e8034d5fb412587c4d2faf84130470b44e2"},"source":{"id":"2605.12749","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T19:32:18.117722Z","id":"98662fd3-9d3a-40e2-9153-d01759a4880f","model_set":{"reader":"grok-4.3"},"one_line_summary":"For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"For every cocommutative Hopf dialgebra the set-like rack of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup of its group-like elements.","strongest_claim":"For every cocommutative Hopf dialgebra A, the rack of set-like elements of its adjoint rack bialgebra is naturally isomorphic to the conjugation rack of the digroup Glike(A).","weakest_assumption":"The factorization of the rack functor through the digroup of group-like elements relies on the cocommutativity assumption and on the existence of a well-defined adjoint rack bialgebra structure, both of which are taken as given without further justification in the abstract."}},"verdict_id":"98662fd3-9d3a-40e2-9153-d01759a4880f"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f7c579e28128a38cd21fe655dc3a0f55845f3e36fd781b0d42253bbd02050acb","target":"record","created_at":"2026-05-18T03:09:48Z","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":"f74285b7e0e640f27d268da8d9a1744dfb4b52343a2ffa8e466c86b2a8c34a28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2026-05-12T20:56:35Z","title_canon_sha256":"a6865ee0570006f450819a3dc24de414991249c24077e1ef7f84a24e8541f7ba"},"schema_version":"1.0","source":{"id":"2605.12749","kind":"arxiv","version":1}},"canonical_sha256":"92f4cd75446f4dd4a00802ad8381f0463a6f958f5b9070dba400d87476120b55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92f4cd75446f4dd4a00802ad8381f0463a6f958f5b9070dba400d87476120b55","first_computed_at":"2026-05-18T03:09:48.880334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:48.880334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QewmHSN5WTjS9pdjY+f7Xz1mgDxMrcUCWbyEog2hEYwabBrq6B3aIb17f1jBzyc+vYssplV/73HY/2eqSlF4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:48.881165Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.12749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7c579e28128a38cd21fe655dc3a0f55845f3e36fd781b0d42253bbd02050acb","sha256:a790911ac9bc09181632a26e3da52a6e50a444f4385a6ff500538fbc33ec370a"],"state_sha256":"e4d2ebf319c634a4cc71a53795473510da613e77ae891264c1559077fee1e23d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RhdaTqdgBYDvRRdLhxqhy6j312gXmb4/ooKPjwlR6ZPrap0dqmCkbVz0ZUHY/lSVSdwqAtLJPYKZx0rq6hBqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T08:03:40.385798Z","bundle_sha256":"fb568aeb329303a732256b87a078eecedd2e90641a85626a65097c7185ff6dd7"}}