{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BAN42KN7SWUW437W3GSYCYBVRW","short_pith_number":"pith:BAN42KN7","canonical_record":{"source":{"id":"2505.22383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-28T14:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"dd794bde392268a8afb186409d3ff5382355a50ba64098e83d7cc4855b545de9","abstract_canon_sha256":"24328fb317bb2f40216b941a4b5a68ecad55a8968c276f338212556f9e2dbc2c"},"schema_version":"1.0"},"canonical_sha256":"081bcd29bf95a96e6ff6d9a58160358d8b59f8863304e37241f64c83059976c7","source":{"kind":"arxiv","id":"2505.22383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.22383","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"2505.22383v1","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.22383","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"BAN42KN7SWUW","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_16","alias_value":"BAN42KN7SWUW437W","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_8","alias_value":"BAN42KN7","created_at":"2026-07-05T11:11:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BAN42KN7SWUW437W3GSYCYBVRW","target":"record","payload":{"canonical_record":{"source":{"id":"2505.22383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-28T14:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"dd794bde392268a8afb186409d3ff5382355a50ba64098e83d7cc4855b545de9","abstract_canon_sha256":"24328fb317bb2f40216b941a4b5a68ecad55a8968c276f338212556f9e2dbc2c"},"schema_version":"1.0"},"canonical_sha256":"081bcd29bf95a96e6ff6d9a58160358d8b59f8863304e37241f64c83059976c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:14.199917Z","signature_b64":"R/AEmD//Tf37/B5I9kpM0O8MdQ3JaZIptypy21ytt0KlCllpv9oGOUh2wQsJGVPfPAJdCls5TwyhncfKbiFrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"081bcd29bf95a96e6ff6d9a58160358d8b59f8863304e37241f64c83059976c7","last_reissued_at":"2026-07-05T11:11:14.199487Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:14.199487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.22383","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":"2026-07-05T11:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nIzS3py/WKZr7/URuAtXxG5rRXtOzvHTqpvyegHW/isrfBjKqwmvfK4fn54PxF7HKrmzDg9oh+G4o3cdHV2LDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:06:34.616483Z"},"content_sha256":"011675e23518701e5372f77bdacfd90bfe9edfac6a9ffe61c509a31e07b81dc8","schema_version":"1.0","event_id":"sha256:011675e23518701e5372f77bdacfd90bfe9edfac6a9ffe61c509a31e07b81dc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BAN42KN7SWUW437W3GSYCYBVRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic polytrope","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. Contreras, E. Fuenmayor, M. Carrasco-H, P. Le\\'on","submitted_at":"2025-05-28T14:10:03Z","abstract_excerpt":"In this work, we study self-gravitating objects that obey a polytropic equation of state in hyperbolic symmetry. Specifically, we describe in detail the steps to derive the Lane-Emden equation from the structure equations of the system. To integrate the equations numerically, we propose the Cosenza-Herrera-Esculpi-Witten anisotropy and study the cases $\\gamma \\ne 1$ and $\\gamma = 1$ in the parameter space of the models. We find that the matter sector exhibits the usual and expected behavior for certain values in this parameter space: energy density (in absolute value) and radial pressure are d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.22383","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/2505.22383/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":"2026-07-05T11:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WjkXMpGK+Gb+rXxeAqroWedB84PrLBwWmESUWl87Xock2xa/hg+8KBbz24fmdzijf8udY6NfZIJaEZ2+8XxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:06:34.617230Z"},"content_sha256":"7cf6bd1772de1a93c1694ba8a45f1d092a987f59e9f9621ca4b56d6d36383062","schema_version":"1.0","event_id":"sha256:7cf6bd1772de1a93c1694ba8a45f1d092a987f59e9f9621ca4b56d6d36383062"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BAN42KN7SWUW437W3GSYCYBVRW/bundle.json","state_url":"https://pith.science/pith/BAN42KN7SWUW437W3GSYCYBVRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BAN42KN7SWUW437W3GSYCYBVRW/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":"2026-08-08T04:06:34Z","links":{"resolver":"https://pith.science/pith/BAN42KN7SWUW437W3GSYCYBVRW","bundle":"https://pith.science/pith/BAN42KN7SWUW437W3GSYCYBVRW/bundle.json","state":"https://pith.science/pith/BAN42KN7SWUW437W3GSYCYBVRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BAN42KN7SWUW437W3GSYCYBVRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BAN42KN7SWUW437W3GSYCYBVRW","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":"24328fb317bb2f40216b941a4b5a68ecad55a8968c276f338212556f9e2dbc2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-28T14:10:03Z","title_canon_sha256":"dd794bde392268a8afb186409d3ff5382355a50ba64098e83d7cc4855b545de9"},"schema_version":"1.0","source":{"id":"2505.22383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.22383","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"2505.22383v1","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.22383","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"BAN42KN7SWUW","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_16","alias_value":"BAN42KN7SWUW437W","created_at":"2026-07-05T11:11:14Z"},{"alias_kind":"pith_short_8","alias_value":"BAN42KN7","created_at":"2026-07-05T11:11:14Z"}],"graph_snapshots":[{"event_id":"sha256:7cf6bd1772de1a93c1694ba8a45f1d092a987f59e9f9621ca4b56d6d36383062","target":"graph","created_at":"2026-07-05T11:11:14Z","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/2505.22383/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study self-gravitating objects that obey a polytropic equation of state in hyperbolic symmetry. Specifically, we describe in detail the steps to derive the Lane-Emden equation from the structure equations of the system. To integrate the equations numerically, we propose the Cosenza-Herrera-Esculpi-Witten anisotropy and study the cases $\\gamma \\ne 1$ and $\\gamma = 1$ in the parameter space of the models. We find that the matter sector exhibits the usual and expected behavior for certain values in this parameter space: energy density (in absolute value) and radial pressure are d","authors_text":"E. Contreras, E. Fuenmayor, M. Carrasco-H, P. Le\\'on","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-28T14:10:03Z","title":"Hyperbolic polytrope"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.22383","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":"sha256:011675e23518701e5372f77bdacfd90bfe9edfac6a9ffe61c509a31e07b81dc8","target":"record","created_at":"2026-07-05T11:11:14Z","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":"24328fb317bb2f40216b941a4b5a68ecad55a8968c276f338212556f9e2dbc2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-28T14:10:03Z","title_canon_sha256":"dd794bde392268a8afb186409d3ff5382355a50ba64098e83d7cc4855b545de9"},"schema_version":"1.0","source":{"id":"2505.22383","kind":"arxiv","version":1}},"canonical_sha256":"081bcd29bf95a96e6ff6d9a58160358d8b59f8863304e37241f64c83059976c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"081bcd29bf95a96e6ff6d9a58160358d8b59f8863304e37241f64c83059976c7","first_computed_at":"2026-07-05T11:11:14.199487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:14.199487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/AEmD//Tf37/B5I9kpM0O8MdQ3JaZIptypy21ytt0KlCllpv9oGOUh2wQsJGVPfPAJdCls5TwyhncfKbiFrDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:14.199917Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.22383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:011675e23518701e5372f77bdacfd90bfe9edfac6a9ffe61c509a31e07b81dc8","sha256:7cf6bd1772de1a93c1694ba8a45f1d092a987f59e9f9621ca4b56d6d36383062"],"state_sha256":"ea2fbe2b3282599dfc8456c6644cf8bb928f77178d11a5bccde95731c8e90d8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9ebeBfGv4dgn7Eb+D0Hgmhj5qrABezF8T22VVKpok62W+xfjqnDNHubU+6ll7UkQ9qZn4KPOFyTlEjEkYMSAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T04:06:34.622567Z","bundle_sha256":"f406bb4cc7ca6c3f090de6ce3811c40adcca20821ca20fd9f899f96241a8feab"}}