{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:3YVDFDGOUHD6U7G3LPFBUWI2VG","short_pith_number":"pith:3YVDFDGO","canonical_record":{"source":{"id":"0707.0864","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-05T19:59:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4ec8275cbac68f08cb9aa220b2a638574875c06ec7477b9a65c261026c6be575","abstract_canon_sha256":"8e1a7f04a1bffc0bbce629fb9989f948dda2e47fa0649baabc6aa19a9769075b"},"schema_version":"1.0"},"canonical_sha256":"de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f","source":{"kind":"arxiv","id":"0707.0864","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0864","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0864v4","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0864","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"3YVDFDGOUHD6","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"3YVDFDGOUHD6U7G3","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"3YVDFDGO","created_at":"2026-07-04T15:03:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:3YVDFDGOUHD6U7G3LPFBUWI2VG","target":"record","payload":{"canonical_record":{"source":{"id":"0707.0864","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-05T19:59:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4ec8275cbac68f08cb9aa220b2a638574875c06ec7477b9a65c261026c6be575","abstract_canon_sha256":"8e1a7f04a1bffc0bbce629fb9989f948dda2e47fa0649baabc6aa19a9769075b"},"schema_version":"1.0"},"canonical_sha256":"de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:03:24.172262Z","signature_b64":"fwCpk+lluAgi4/jbyv13bTMvyJY1YAS8xHie57gLebMZNZ1LMv8evsQtEwKdfw4MbzfBlJS89e74o0K9DiQ2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f","last_reissued_at":"2026-07-04T15:03:24.171754Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:03:24.171754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.0864","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sz8bK2beCfX9jiZuyaJQLwG4nVpG91tnahu/MY1XqbGNrKkqIA32K6MJ3WEfSu7m/uolhaC8SE1LzkIN3AjGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:38:31.212027Z"},"content_sha256":"013bb526d94a4b5acc638a9e1176fee9c1a243f5792e1b78d473b196f84f7096","schema_version":"1.0","event_id":"sha256:013bb526d94a4b5acc638a9e1176fee9c1a243f5792e1b78d473b196f84f7096"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:3YVDFDGOUHD6U7G3LPFBUWI2VG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-gravitating radiation in AdS(d)","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Vladislav Vaganov","submitted_at":"2007-07-05T19:59:30Z","abstract_excerpt":"We study spherically symmetric equilibrium configurations of self-gravitating massless thermal radiation in asymptotically anti-de Sitter space. In d=4, it was shown by Page and Phillips that there is a maximum red-shifted temperature, maximum mass and maximum entropy. For higher central densities, the temperature, mass and entropy undergo an infinite series of damped oscillations, corresponding to unstable configurations. We extend this work to all dimensions $d\\geq 3$. We find that in $4\\leq d\\leq 10$, the behaviour is similar to the d=4 case. In $d\\geq 11$, the temperature, mass and entropy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0864","kind":"arxiv","version":4},"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/0707.0864/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":"2026-07-04T15:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVK9t9yeWPWuAOML/HOXw8nRdawu+7pWf9OcyI9NZ/O554eqx6Dmda5GXPq7MEKbSEz2BI0Fe09Y0xmeBU1pCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:38:31.212558Z"},"content_sha256":"bd3b6a50cb8c508d79d6c1b423eadd7b71755e128484f8a59cfafc37ffd6dbde","schema_version":"1.0","event_id":"sha256:bd3b6a50cb8c508d79d6c1b423eadd7b71755e128484f8a59cfafc37ffd6dbde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/bundle.json","state_url":"https://pith.science/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/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":"2026-08-04T18:38:31Z","links":{"resolver":"https://pith.science/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG","bundle":"https://pith.science/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/bundle.json","state":"https://pith.science/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YVDFDGOUHD6U7G3LPFBUWI2VG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:3YVDFDGOUHD6U7G3LPFBUWI2VG","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":"8e1a7f04a1bffc0bbce629fb9989f948dda2e47fa0649baabc6aa19a9769075b","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-05T19:59:30Z","title_canon_sha256":"4ec8275cbac68f08cb9aa220b2a638574875c06ec7477b9a65c261026c6be575"},"schema_version":"1.0","source":{"id":"0707.0864","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0864","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0864v4","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0864","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"3YVDFDGOUHD6","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"3YVDFDGOUHD6U7G3","created_at":"2026-07-04T15:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"3YVDFDGO","created_at":"2026-07-04T15:03:24Z"}],"graph_snapshots":[{"event_id":"sha256:bd3b6a50cb8c508d79d6c1b423eadd7b71755e128484f8a59cfafc37ffd6dbde","target":"graph","created_at":"2026-07-04T15:03:24Z","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/0707.0864/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study spherically symmetric equilibrium configurations of self-gravitating massless thermal radiation in asymptotically anti-de Sitter space. In d=4, it was shown by Page and Phillips that there is a maximum red-shifted temperature, maximum mass and maximum entropy. For higher central densities, the temperature, mass and entropy undergo an infinite series of damped oscillations, corresponding to unstable configurations. We extend this work to all dimensions $d\\geq 3$. We find that in $4\\leq d\\leq 10$, the behaviour is similar to the d=4 case. In $d\\geq 11$, the temperature, mass and entropy","authors_text":"Vladislav Vaganov","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-07-05T19:59:30Z","title":"Self-gravitating radiation in AdS(d)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0864","kind":"arxiv","version":4},"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":"sha256:013bb526d94a4b5acc638a9e1176fee9c1a243f5792e1b78d473b196f84f7096","target":"record","created_at":"2026-07-04T15:03:24Z","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":"8e1a7f04a1bffc0bbce629fb9989f948dda2e47fa0649baabc6aa19a9769075b","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-05T19:59:30Z","title_canon_sha256":"4ec8275cbac68f08cb9aa220b2a638574875c06ec7477b9a65c261026c6be575"},"schema_version":"1.0","source":{"id":"0707.0864","kind":"arxiv","version":4}},"canonical_sha256":"de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f","first_computed_at":"2026-07-04T15:03:24.171754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:03:24.171754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwCpk+lluAgi4/jbyv13bTMvyJY1YAS8xHie57gLebMZNZ1LMv8evsQtEwKdfw4MbzfBlJS89e74o0K9DiQ2DA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:03:24.172262Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.0864","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:013bb526d94a4b5acc638a9e1176fee9c1a243f5792e1b78d473b196f84f7096","sha256:bd3b6a50cb8c508d79d6c1b423eadd7b71755e128484f8a59cfafc37ffd6dbde"],"state_sha256":"f542cf4358724318924c3182e5d4ea0e0027d4cc918c48f8ae0c9a9e7519b8d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qHE2PC+w3QLqVLlo4yRvXRw5tnNwNBMbx1jEVZnX558JhAxlk2AhgnEyJdI2Z8pTqUX7X1vsJl/1VgZCgIC7Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:38:31.217785Z","bundle_sha256":"0b0e8d9f1641b55bae5ce443727be7a3f9938f06414a50f973dd410b344cfd29"}}