{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:PF7P77JIKDKRHYAH4XM3XQRN4E","short_pith_number":"pith:PF7P77JI","canonical_record":{"source":{"id":"astro-ph/9612232","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-12-26T21:05:42Z","cross_cats_sorted":[],"title_canon_sha256":"66bb8763ff9626aec03f26803da82fba41c6c120c2c1b2cfc46b71e84cfb41d8","abstract_canon_sha256":"d5b1582bc3b522be34409925ff7461d9227d33eeb131aa415e19a58c10f205a9"},"schema_version":"1.0"},"canonical_sha256":"797efffd2850d513e007e5d9bbc22de13c4408c6ad4ccd377032f0dd6968a94e","source":{"kind":"arxiv","id":"astro-ph/9612232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9612232","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9612232v1","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9612232","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"PF7P77JIKDKR","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"PF7P77JIKDKRHYAH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"PF7P77JI","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:PF7P77JIKDKRHYAH4XM3XQRN4E","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9612232","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-12-26T21:05:42Z","cross_cats_sorted":[],"title_canon_sha256":"66bb8763ff9626aec03f26803da82fba41c6c120c2c1b2cfc46b71e84cfb41d8","abstract_canon_sha256":"d5b1582bc3b522be34409925ff7461d9227d33eeb131aa415e19a58c10f205a9"},"schema_version":"1.0"},"canonical_sha256":"797efffd2850d513e007e5d9bbc22de13c4408c6ad4ccd377032f0dd6968a94e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:18.488099Z","signature_b64":"eQ2mNobO1StHsEkGwkS4+aMVJ0qiMU/Y2ycztPdSrkR4TebSmcdNg7Za9pg81UXwlCpNL53kp0tLSQ8uDJpPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"797efffd2850d513e007e5d9bbc22de13c4408c6ad4ccd377032f0dd6968a94e","last_reissued_at":"2026-05-18T01:40:18.487490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:18.487490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9612232","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":"2026-05-18T01:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nfzs2a9a3buwc3FyTzkBe9FiBzibTD6BssjA0crrAT73CoC3v8F9ywM+X2dssE2z4efFwC7eeK06w8ZyjrwRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:40:04.354177Z"},"content_sha256":"3c5ae0b91371cbeee07bf532be4a300b3108a4664f7e8f226e4aa110b919c7d1","schema_version":"1.0","event_id":"sha256:3c5ae0b91371cbeee07bf532be4a300b3108a4664f7e8f226e4aa110b919c7d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:PF7P77JIKDKRHYAH4XM3XQRN4E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equation of State of the Photoionized Intergalactic Medium","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Lam Hui, Nickolay Y. Gnedin","submitted_at":"1996-12-26T21:05:42Z","abstract_excerpt":"We develop an efficient method to study the effects of reionization history on the temperature-density relation of the intergalactic medium in the low density limit (overdensity less than 5). It is applied to the study of photo-reionization models in which the amplitude, spectrum and onset epoch of the ionizing flux, as well as the cosmology, are systematically varied. We find that the mean temperature-density relation at z=2-4 is well approximated by a power-law equation of state for uniform reionization models. We derive analytical expressions for its evolution and exhibit its asymptotic beh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9612232","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":""},"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":"2026-05-18T01:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JT8NzSRY9/2PJifr26jhnttkiG7XRmuB2aiHLSbd6kFgGjMMeub1pY6J/INLsyFkTBJZj6hck0vOvwwEjFrsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:40:04.354526Z"},"content_sha256":"3d8721e8ed9d5158dc71c9c46beecde4b48e3747a4e0cb596af909423250411e","schema_version":"1.0","event_id":"sha256:3d8721e8ed9d5158dc71c9c46beecde4b48e3747a4e0cb596af909423250411e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/bundle.json","state_url":"https://pith.science/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/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":"2026-06-28T01:40:04Z","links":{"resolver":"https://pith.science/pith/PF7P77JIKDKRHYAH4XM3XQRN4E","bundle":"https://pith.science/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/bundle.json","state":"https://pith.science/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PF7P77JIKDKRHYAH4XM3XQRN4E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:PF7P77JIKDKRHYAH4XM3XQRN4E","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":"d5b1582bc3b522be34409925ff7461d9227d33eeb131aa415e19a58c10f205a9","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-12-26T21:05:42Z","title_canon_sha256":"66bb8763ff9626aec03f26803da82fba41c6c120c2c1b2cfc46b71e84cfb41d8"},"schema_version":"1.0","source":{"id":"astro-ph/9612232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9612232","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9612232v1","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9612232","created_at":"2026-05-18T01:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"PF7P77JIKDKR","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"PF7P77JIKDKRHYAH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"PF7P77JI","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:3d8721e8ed9d5158dc71c9c46beecde4b48e3747a4e0cb596af909423250411e","target":"graph","created_at":"2026-05-18T01:40:18Z","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"},"paper":{"abstract_excerpt":"We develop an efficient method to study the effects of reionization history on the temperature-density relation of the intergalactic medium in the low density limit (overdensity less than 5). It is applied to the study of photo-reionization models in which the amplitude, spectrum and onset epoch of the ionizing flux, as well as the cosmology, are systematically varied. We find that the mean temperature-density relation at z=2-4 is well approximated by a power-law equation of state for uniform reionization models. We derive analytical expressions for its evolution and exhibit its asymptotic beh","authors_text":"Lam Hui, Nickolay Y. Gnedin","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1996-12-26T21:05:42Z","title":"Equation of State of the Photoionized Intergalactic Medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9612232","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":"sha256:3c5ae0b91371cbeee07bf532be4a300b3108a4664f7e8f226e4aa110b919c7d1","target":"record","created_at":"2026-05-18T01:40:18Z","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":"d5b1582bc3b522be34409925ff7461d9227d33eeb131aa415e19a58c10f205a9","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-12-26T21:05:42Z","title_canon_sha256":"66bb8763ff9626aec03f26803da82fba41c6c120c2c1b2cfc46b71e84cfb41d8"},"schema_version":"1.0","source":{"id":"astro-ph/9612232","kind":"arxiv","version":1}},"canonical_sha256":"797efffd2850d513e007e5d9bbc22de13c4408c6ad4ccd377032f0dd6968a94e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"797efffd2850d513e007e5d9bbc22de13c4408c6ad4ccd377032f0dd6968a94e","first_computed_at":"2026-05-18T01:40:18.487490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:18.487490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eQ2mNobO1StHsEkGwkS4+aMVJ0qiMU/Y2ycztPdSrkR4TebSmcdNg7Za9pg81UXwlCpNL53kp0tLSQ8uDJpPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:18.488099Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9612232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5ae0b91371cbeee07bf532be4a300b3108a4664f7e8f226e4aa110b919c7d1","sha256:3d8721e8ed9d5158dc71c9c46beecde4b48e3747a4e0cb596af909423250411e"],"state_sha256":"3d1c810a3d4a155c1f888a47f6505df76bfa52fcfb0baab332f431ad81093b90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fk4KHsUgagitkK8Z//4m3Yqruioa3ZfG0Af/LO4lFCE3fNO9XMrAUsoQvvTKE1SbEBLUq4eTMB4YXhywsI8kCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T01:40:04.356536Z","bundle_sha256":"2da678e2498a054485e0e3211098322394fddaace1d84ce915fdf38b66853fb6"}}