{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XULMPRQSJ5O46OKML5CS3Z3JOL","short_pith_number":"pith:XULMPRQS","canonical_record":{"source":{"id":"1905.09164","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-22T14:21:13Z","cross_cats_sorted":["cond-mat.soft","cond-mat.str-el"],"title_canon_sha256":"f44170ffd28b1dc4975d39687d4ecd2333c0b5599b2b47f31b0b722ca9804738","abstract_canon_sha256":"55eabb8ee2280904cef6e983cf34661acebfc70abebd7fb096e7fddb590f563b"},"schema_version":"1.0"},"canonical_sha256":"bd16c7c6124f5dcf394c5f452de76972e0a9b6b9ba28f4f6a7c3f703bbf7597c","source":{"kind":"arxiv","id":"1905.09164","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09164","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09164v2","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09164","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_12","alias_value":"XULMPRQSJ5O4","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_16","alias_value":"XULMPRQSJ5O46OKM","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_8","alias_value":"XULMPRQS","created_at":"2026-07-05T00:31:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XULMPRQSJ5O46OKML5CS3Z3JOL","target":"record","payload":{"canonical_record":{"source":{"id":"1905.09164","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-22T14:21:13Z","cross_cats_sorted":["cond-mat.soft","cond-mat.str-el"],"title_canon_sha256":"f44170ffd28b1dc4975d39687d4ecd2333c0b5599b2b47f31b0b722ca9804738","abstract_canon_sha256":"55eabb8ee2280904cef6e983cf34661acebfc70abebd7fb096e7fddb590f563b"},"schema_version":"1.0"},"canonical_sha256":"bd16c7c6124f5dcf394c5f452de76972e0a9b6b9ba28f4f6a7c3f703bbf7597c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:31:50.407353Z","signature_b64":"tCua4nwyir0mN06QTQHkCIPUj7rdjf/gjGPGfS+DHu0fX1KlnsAMpD3ZaKh3XdwSCWhWuvcawVaSJUWSyF5ZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd16c7c6124f5dcf394c5f452de76972e0a9b6b9ba28f4f6a7c3f703bbf7597c","last_reissued_at":"2026-07-05T00:31:50.406897Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:31:50.406897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.09164","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:31:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lEnkamy9iJLKkzZWsuZ2ShW6PLY7vuWJmV9LwcEQFUO3li3GuWNzhYSoTQHKIC9aqj5/UyiLZIcVD0JpFQngAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:13:15.212987Z"},"content_sha256":"8171de23550091430980c59edc273d7bd28910976cfd50e113a5782046249c59","schema_version":"1.0","event_id":"sha256:8171de23550091430980c59edc273d7bd28910976cfd50e113a5782046249c59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XULMPRQSJ5O46OKML5CS3Z3JOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Longitudinal Sound and Diffusion in Holographic Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Martin Ammon, Matteo Baggioli, Se\\'an Gray, Sebastian Grieninger","submitted_at":"2019-05-22T14:21:13Z","abstract_excerpt":"We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density. We identify three hydrodynamic modes in this sector: a pair of sound modes and one diffusion mode. We numerically compute the dispersion relations of the hydrodynamic modes. The obtained speed and the attenuation of the sound modes are in agreement with the hydrodynamic predictions. On the contrary, we surprisingly find disagreement in the case of the diffus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09164","kind":"arxiv","version":2},"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/1905.09164/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":"2026-07-05T00:31:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jefhVyOJVqAkuuj+4e4skpZ/zWYY4sjAa36sZW6PHuIAJmDo/mU/clnz4kgImYuaKwejvFIPo/0IIQ8glaM0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:13:15.213376Z"},"content_sha256":"24bb68213a743000315c331a8fe4c90104a385954a2839006190f20de128ab9b","schema_version":"1.0","event_id":"sha256:24bb68213a743000315c331a8fe4c90104a385954a2839006190f20de128ab9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/bundle.json","state_url":"https://pith.science/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/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":"2026-08-21T13:13:15Z","links":{"resolver":"https://pith.science/pith/XULMPRQSJ5O46OKML5CS3Z3JOL","bundle":"https://pith.science/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/bundle.json","state":"https://pith.science/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XULMPRQSJ5O46OKML5CS3Z3JOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XULMPRQSJ5O46OKML5CS3Z3JOL","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":"55eabb8ee2280904cef6e983cf34661acebfc70abebd7fb096e7fddb590f563b","cross_cats_sorted":["cond-mat.soft","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-22T14:21:13Z","title_canon_sha256":"f44170ffd28b1dc4975d39687d4ecd2333c0b5599b2b47f31b0b722ca9804738"},"schema_version":"1.0","source":{"id":"1905.09164","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09164","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09164v2","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09164","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_12","alias_value":"XULMPRQSJ5O4","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_16","alias_value":"XULMPRQSJ5O46OKM","created_at":"2026-07-05T00:31:50Z"},{"alias_kind":"pith_short_8","alias_value":"XULMPRQS","created_at":"2026-07-05T00:31:50Z"}],"graph_snapshots":[{"event_id":"sha256:24bb68213a743000315c331a8fe4c90104a385954a2839006190f20de128ab9b","target":"graph","created_at":"2026-07-05T00:31:50Z","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/1905.09164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density. We identify three hydrodynamic modes in this sector: a pair of sound modes and one diffusion mode. We numerically compute the dispersion relations of the hydrodynamic modes. The obtained speed and the attenuation of the sound modes are in agreement with the hydrodynamic predictions. On the contrary, we surprisingly find disagreement in the case of the diffus","authors_text":"Martin Ammon, Matteo Baggioli, Se\\'an Gray, Sebastian Grieninger","cross_cats":["cond-mat.soft","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-22T14:21:13Z","title":"Longitudinal Sound and Diffusion in Holographic Massive Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09164","kind":"arxiv","version":2},"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":"sha256:8171de23550091430980c59edc273d7bd28910976cfd50e113a5782046249c59","target":"record","created_at":"2026-07-05T00:31:50Z","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":"55eabb8ee2280904cef6e983cf34661acebfc70abebd7fb096e7fddb590f563b","cross_cats_sorted":["cond-mat.soft","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-22T14:21:13Z","title_canon_sha256":"f44170ffd28b1dc4975d39687d4ecd2333c0b5599b2b47f31b0b722ca9804738"},"schema_version":"1.0","source":{"id":"1905.09164","kind":"arxiv","version":2}},"canonical_sha256":"bd16c7c6124f5dcf394c5f452de76972e0a9b6b9ba28f4f6a7c3f703bbf7597c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd16c7c6124f5dcf394c5f452de76972e0a9b6b9ba28f4f6a7c3f703bbf7597c","first_computed_at":"2026-07-05T00:31:50.406897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:31:50.406897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tCua4nwyir0mN06QTQHkCIPUj7rdjf/gjGPGfS+DHu0fX1KlnsAMpD3ZaKh3XdwSCWhWuvcawVaSJUWSyF5ZBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:31:50.407353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.09164","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8171de23550091430980c59edc273d7bd28910976cfd50e113a5782046249c59","sha256:24bb68213a743000315c331a8fe4c90104a385954a2839006190f20de128ab9b"],"state_sha256":"e1f2b98d49a723c7ca422a921ee92dbdf02bd9305e2465de7a0bdf2de2c87816"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eel5B6SUmdibLiu7ZbGSolM23c73HKp2d3qzlZxCRTU18VHemnYLk2v/LCta2p6ze6LY6buxM4ZRiBiQSNEtAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T13:13:15.216093Z","bundle_sha256":"bfe6a01b217f24a8f8648229047dbad910d6d0af656c4f71ed02d578b449ec5d"}}