{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7GKIBCC5WYC4NLAP47KTAVJV2A","short_pith_number":"pith:7GKIBCC5","canonical_record":{"source":{"id":"2501.17297","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-28T20:59:37Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"e957e2473d747fae29224155fd3e722fdb3e22f5ec46d00084d2c7ada8a613cc","abstract_canon_sha256":"50c2b8b144fd2cd66491e5445a5bebdfe9f13215e5aef7192803f01354db57cf"},"schema_version":"1.0"},"canonical_sha256":"f99480885db605c6ac0fe7d5305535d03bdaf391be319f18b32b973f639fa22e","source":{"kind":"arxiv","id":"2501.17297","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.17297","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"2501.17297v2","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.17297","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"7GKIBCC5WYC4","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_16","alias_value":"7GKIBCC5WYC4NLAP","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_8","alias_value":"7GKIBCC5","created_at":"2026-07-05T11:41:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7GKIBCC5WYC4NLAP47KTAVJV2A","target":"record","payload":{"canonical_record":{"source":{"id":"2501.17297","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-28T20:59:37Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"e957e2473d747fae29224155fd3e722fdb3e22f5ec46d00084d2c7ada8a613cc","abstract_canon_sha256":"50c2b8b144fd2cd66491e5445a5bebdfe9f13215e5aef7192803f01354db57cf"},"schema_version":"1.0"},"canonical_sha256":"f99480885db605c6ac0fe7d5305535d03bdaf391be319f18b32b973f639fa22e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:38.619559Z","signature_b64":"FQGYi3kpkAt2TkAYPpNuq3x9dH2tnOEdd5TKTyu/KYWx/0ehaj84Sp4RBHRjBsuOhAnxcBgy9wtpsRWbe2khCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f99480885db605c6ac0fe7d5305535d03bdaf391be319f18b32b973f639fa22e","last_reissued_at":"2026-07-05T11:41:38.618750Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:38.618750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.17297","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":"2026-07-05T11:41:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h5Nyb/nwlnMqwEqSld5BNQCqf1W8IHTa5mWnj43vGc3mffMnb5snLLxFQIjBe9rlzN3hbwsZcNJiLTyUicTJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:16:37.445511Z"},"content_sha256":"e511a19e4e602e76cf27108f99f2650e6cebad6221defd3e7cf492daa5a8fc2b","schema_version":"1.0","event_id":"sha256:e511a19e4e602e76cf27108f99f2650e6cebad6221defd3e7cf492daa5a8fc2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7GKIBCC5WYC4NLAP47KTAVJV2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transitions due to Euclidean gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"gr-qc","authors_text":"Diya Batool, Muhammad Muzammil, Mustafa Saeed, Nomaan X","submitted_at":"2025-01-28T20:59:37Z","abstract_excerpt":"We use Ising-like models to probe the thermal nature of Euclidean spacetime backgrounds. We determine which properties of the background -- curvature, the presence of a horizon, or temperature -- play a role in phase transitions. The geometries we use are Euclidean Schwarzschild, Rindler, extremal Reissner-N\\\"{o}rdstrom (ERN), Anti deSitter (AdS), and deSitter (dS). Among these, Rindler is flat, AdS does not have a horizon, and both AdS and ERN have zero temperatures. We find second-order phase transitions as the metric parameter is varied in all cases except for Rindler. Specifically, we find"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.17297","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/2501.17297/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":"2026-07-05T11:41:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oij4Wp1IBsgewu3cXR3OK8DFJQtQQqSmhJtutsPU5D/YT95UEzQSh3YjdXu6aPm0NZObqGlGi06m7VW0uoKCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:16:37.446039Z"},"content_sha256":"2770529d10a33d5619589f9ec57d6b3c36bf983d041e3ebfde16e5a9a52e14ab","schema_version":"1.0","event_id":"sha256:2770529d10a33d5619589f9ec57d6b3c36bf983d041e3ebfde16e5a9a52e14ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/bundle.json","state_url":"https://pith.science/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/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":"2026-08-21T13:16:37Z","links":{"resolver":"https://pith.science/pith/7GKIBCC5WYC4NLAP47KTAVJV2A","bundle":"https://pith.science/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/bundle.json","state":"https://pith.science/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GKIBCC5WYC4NLAP47KTAVJV2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7GKIBCC5WYC4NLAP47KTAVJV2A","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":"50c2b8b144fd2cd66491e5445a5bebdfe9f13215e5aef7192803f01354db57cf","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-28T20:59:37Z","title_canon_sha256":"e957e2473d747fae29224155fd3e722fdb3e22f5ec46d00084d2c7ada8a613cc"},"schema_version":"1.0","source":{"id":"2501.17297","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.17297","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"2501.17297v2","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.17297","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"7GKIBCC5WYC4","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_16","alias_value":"7GKIBCC5WYC4NLAP","created_at":"2026-07-05T11:41:38Z"},{"alias_kind":"pith_short_8","alias_value":"7GKIBCC5","created_at":"2026-07-05T11:41:38Z"}],"graph_snapshots":[{"event_id":"sha256:2770529d10a33d5619589f9ec57d6b3c36bf983d041e3ebfde16e5a9a52e14ab","target":"graph","created_at":"2026-07-05T11:41:38Z","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/2501.17297/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use Ising-like models to probe the thermal nature of Euclidean spacetime backgrounds. We determine which properties of the background -- curvature, the presence of a horizon, or temperature -- play a role in phase transitions. The geometries we use are Euclidean Schwarzschild, Rindler, extremal Reissner-N\\\"{o}rdstrom (ERN), Anti deSitter (AdS), and deSitter (dS). Among these, Rindler is flat, AdS does not have a horizon, and both AdS and ERN have zero temperatures. We find second-order phase transitions as the metric parameter is varied in all cases except for Rindler. Specifically, we find","authors_text":"Diya Batool, Muhammad Muzammil, Mustafa Saeed, Nomaan X","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-28T20:59:37Z","title":"Phase transitions due to Euclidean gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.17297","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:e511a19e4e602e76cf27108f99f2650e6cebad6221defd3e7cf492daa5a8fc2b","target":"record","created_at":"2026-07-05T11:41:38Z","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":"50c2b8b144fd2cd66491e5445a5bebdfe9f13215e5aef7192803f01354db57cf","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-28T20:59:37Z","title_canon_sha256":"e957e2473d747fae29224155fd3e722fdb3e22f5ec46d00084d2c7ada8a613cc"},"schema_version":"1.0","source":{"id":"2501.17297","kind":"arxiv","version":2}},"canonical_sha256":"f99480885db605c6ac0fe7d5305535d03bdaf391be319f18b32b973f639fa22e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99480885db605c6ac0fe7d5305535d03bdaf391be319f18b32b973f639fa22e","first_computed_at":"2026-07-05T11:41:38.618750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:38.618750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FQGYi3kpkAt2TkAYPpNuq3x9dH2tnOEdd5TKTyu/KYWx/0ehaj84Sp4RBHRjBsuOhAnxcBgy9wtpsRWbe2khCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:38.619559Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.17297","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e511a19e4e602e76cf27108f99f2650e6cebad6221defd3e7cf492daa5a8fc2b","sha256:2770529d10a33d5619589f9ec57d6b3c36bf983d041e3ebfde16e5a9a52e14ab"],"state_sha256":"1deaf17354030d20a156097c29842f9ad01c36b475f61c6de4a8dbabeea01f39"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"60KfMb8+UWBFzkWb1RRJedbfw2sSHInGY9ik3p1+hECDIiawoBA2OAgukGuUSyZvkQIBk2UBjJAkeiroCTpEBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T13:16:37.452080Z","bundle_sha256":"5b55c57ff0637e3be6ce170c504e59c30e68fc42d52bd6509642ba929ed4bebe"}}