{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:RCECMZQP3IKX5K2ZIQDLHMLBII","short_pith_number":"pith:RCECMZQP","canonical_record":{"source":{"id":"0708.0276","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-08-02T05:52:29Z","cross_cats_sorted":[],"title_canon_sha256":"3ad10588f7a87a25d73e7bddad95a59d23ec8bb410521d8a823381d17dc3974a","abstract_canon_sha256":"119a33c00291a32c0f7d23ac8449669569174a2011d915faa4c32822257ef000"},"schema_version":"1.0"},"canonical_sha256":"888826660fda157eab594406b3b1614205c2d0dcdac2bd1e14475bb53e8990f3","source":{"kind":"arxiv","id":"0708.0276","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0276","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0276v3","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0276","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"pith_short_12","alias_value":"RCECMZQP3IKX","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"RCECMZQP3IKX5K2Z","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"RCECMZQP","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:RCECMZQP3IKX5K2ZIQDLHMLBII","target":"record","payload":{"canonical_record":{"source":{"id":"0708.0276","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-08-02T05:52:29Z","cross_cats_sorted":[],"title_canon_sha256":"3ad10588f7a87a25d73e7bddad95a59d23ec8bb410521d8a823381d17dc3974a","abstract_canon_sha256":"119a33c00291a32c0f7d23ac8449669569174a2011d915faa4c32822257ef000"},"schema_version":"1.0"},"canonical_sha256":"888826660fda157eab594406b3b1614205c2d0dcdac2bd1e14475bb53e8990f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:30.662440Z","signature_b64":"IRs1KscxXHasG0fPexrVDaIIi3kQAnS2nX1N0E5o/RoPBQ5LhDJxOrv4JGBp3TAU+o9W3p1xjUlF9HzTq5CyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"888826660fda157eab594406b3b1614205c2d0dcdac2bd1e14475bb53e8990f3","last_reissued_at":"2026-05-18T02:35:30.661770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:30.661770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0708.0276","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dELasRr421XcR6Mgj9y76Nehgy52RmPBHItW113rTDGM5U3epIZ97f3wjmdh4ZTBkuJLtAFxLhiiplS/5agjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:24:42.737465Z"},"content_sha256":"60f91cc2b6c200f1deeb628f22e8b898b6e906c9e2455cca5004fc04c6651d6a","schema_version":"1.0","event_id":"sha256:60f91cc2b6c200f1deeb628f22e8b898b6e906c9e2455cca5004fc04c6651d6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:RCECMZQP3IKX5K2ZIQDLHMLBII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Area Invariance of Apparent Horizons under Arbitrary Boosts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Richard A. Matzner, Sarp Akcay","submitted_at":"2007-08-02T05:52:29Z","abstract_excerpt":"It is a well known analytic result in general relativity that the 2-dimensional area of the apparent horizon of a black hole remains invariant regardless of the motion of the observer, and in fact is independent of the $ t=constant $ slice, which can be quite arbitrary in general relativity. Nonetheless the explicit computation of horizon area is often substantially more difficult in some frames (complicated by the coordinate form of the metric), than in other frames. Here we give an explicit demonstration for very restricted metric forms of (Schwarzschild and Kerr) vacuum black holes. In the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0276","kind":"arxiv","version":3},"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":"2026-05-18T02:35:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgs/BeHl0zJFasEEuw2a+o+LsZF9MgsH0Se/2kXD7DY1mYSBeDnKC5DXdTilmsKFCm0N/95b0JKpF0DVlLLQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:24:42.738208Z"},"content_sha256":"79d0fa7d7999d146010d8443527fcdebffff0fb7396ebbd59120fde4bcb5a2d3","schema_version":"1.0","event_id":"sha256:79d0fa7d7999d146010d8443527fcdebffff0fb7396ebbd59120fde4bcb5a2d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/bundle.json","state_url":"https://pith.science/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/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":"2026-06-10T01:24:42Z","links":{"resolver":"https://pith.science/pith/RCECMZQP3IKX5K2ZIQDLHMLBII","bundle":"https://pith.science/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/bundle.json","state":"https://pith.science/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCECMZQP3IKX5K2ZIQDLHMLBII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:RCECMZQP3IKX5K2ZIQDLHMLBII","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":"119a33c00291a32c0f7d23ac8449669569174a2011d915faa4c32822257ef000","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-08-02T05:52:29Z","title_canon_sha256":"3ad10588f7a87a25d73e7bddad95a59d23ec8bb410521d8a823381d17dc3974a"},"schema_version":"1.0","source":{"id":"0708.0276","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0276","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0276v3","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0276","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"pith_short_12","alias_value":"RCECMZQP3IKX","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"RCECMZQP3IKX5K2Z","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"RCECMZQP","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:79d0fa7d7999d146010d8443527fcdebffff0fb7396ebbd59120fde4bcb5a2d3","target":"graph","created_at":"2026-05-18T02:35:30Z","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":"It is a well known analytic result in general relativity that the 2-dimensional area of the apparent horizon of a black hole remains invariant regardless of the motion of the observer, and in fact is independent of the $ t=constant $ slice, which can be quite arbitrary in general relativity. Nonetheless the explicit computation of horizon area is often substantially more difficult in some frames (complicated by the coordinate form of the metric), than in other frames. Here we give an explicit demonstration for very restricted metric forms of (Schwarzschild and Kerr) vacuum black holes. In the ","authors_text":"Richard A. Matzner, Sarp Akcay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-08-02T05:52:29Z","title":"Area Invariance of Apparent Horizons under Arbitrary Boosts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0276","kind":"arxiv","version":3},"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":"sha256:60f91cc2b6c200f1deeb628f22e8b898b6e906c9e2455cca5004fc04c6651d6a","target":"record","created_at":"2026-05-18T02:35:30Z","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":"119a33c00291a32c0f7d23ac8449669569174a2011d915faa4c32822257ef000","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2007-08-02T05:52:29Z","title_canon_sha256":"3ad10588f7a87a25d73e7bddad95a59d23ec8bb410521d8a823381d17dc3974a"},"schema_version":"1.0","source":{"id":"0708.0276","kind":"arxiv","version":3}},"canonical_sha256":"888826660fda157eab594406b3b1614205c2d0dcdac2bd1e14475bb53e8990f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"888826660fda157eab594406b3b1614205c2d0dcdac2bd1e14475bb53e8990f3","first_computed_at":"2026-05-18T02:35:30.661770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:30.661770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IRs1KscxXHasG0fPexrVDaIIi3kQAnS2nX1N0E5o/RoPBQ5LhDJxOrv4JGBp3TAU+o9W3p1xjUlF9HzTq5CyCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:30.662440Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0276","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60f91cc2b6c200f1deeb628f22e8b898b6e906c9e2455cca5004fc04c6651d6a","sha256:79d0fa7d7999d146010d8443527fcdebffff0fb7396ebbd59120fde4bcb5a2d3"],"state_sha256":"42f22eab901f41c9dca1a9782fcfbbe0ef0e063819ff61f5fac007952b1b3160"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5J9ho9U1G+b18B6OwP8yLIQ/OV7eIZeGdHpM0LFEkxtfORLbGZq9zIYU54yE4yr5xExFDb9z4D5euV8NjZZGBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:24:42.742674Z","bundle_sha256":"0f784147229757dde862b3096d91b0d59eff92877f666305c946054316e5830c"}}