{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WSCUELUV5KGAFE7KITBYYSIBLJ","short_pith_number":"pith:WSCUELUV","canonical_record":{"source":{"id":"2503.18086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-23T14:34:55Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"bbcc0e6a706c3b58b83109cf6cbdf63b0ff52cd2455b73fd886bfdb7601bff11","abstract_canon_sha256":"6689da661c5e1a7a7f288ee4f8383d190facc8d2884da908c50763fc41cde5cc"},"schema_version":"1.0"},"canonical_sha256":"b485422e95ea8c0293ea44c38c49015a5bdea7e63be79f2e7355e1d47e100187","source":{"kind":"arxiv","id":"2503.18086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.18086","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2503.18086v1","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18086","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"WSCUELUV5KGA","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"WSCUELUV5KGAFE7K","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"WSCUELUV","created_at":"2026-07-05T10:38:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WSCUELUV5KGAFE7KITBYYSIBLJ","target":"record","payload":{"canonical_record":{"source":{"id":"2503.18086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-23T14:34:55Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"bbcc0e6a706c3b58b83109cf6cbdf63b0ff52cd2455b73fd886bfdb7601bff11","abstract_canon_sha256":"6689da661c5e1a7a7f288ee4f8383d190facc8d2884da908c50763fc41cde5cc"},"schema_version":"1.0"},"canonical_sha256":"b485422e95ea8c0293ea44c38c49015a5bdea7e63be79f2e7355e1d47e100187","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:38:02.353380Z","signature_b64":"skwy66XLqOMpQuGvtfJT0FH/JI9jgNj7Ca5m24UUC/A94mzzALCWRc0YmvA2uxP2ybpMojaPlfr3EF/eKFepAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b485422e95ea8c0293ea44c38c49015a5bdea7e63be79f2e7355e1d47e100187","last_reissued_at":"2026-07-05T10:38:02.352407Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:38:02.352407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.18086","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":"2026-07-05T10:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QSDBXAI7VTbfxRuBavHzJdEVhnS1IOC28VGBe18hH5OIRhCdTYRCwoELSWOSV/HniFF5b49BFZNq7SH40zuJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T21:41:58.555619Z"},"content_sha256":"f4cbfaaec830b3ee6919f02c1133e093a0dd73cd3805eb9d23995bc1965d843f","schema_version":"1.0","event_id":"sha256:f4cbfaaec830b3ee6919f02c1133e093a0dd73cd3805eb9d23995bc1965d843f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WSCUELUV5KGAFE7KITBYYSIBLJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Stochastic Mechanics of Hawking Radiation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"gr-qc","authors_text":"Noah M. MacKay","submitted_at":"2025-03-23T14:34:55Z","abstract_excerpt":"In Ref. arXiv:2502.08816, Hawking radiation was analyzed through a statistical mechanics framework, revealing a structured microstate description of black hole horizons and information transfer into the radiation background. This study extends that approach by formulating Hawking radiation and black hole evaporation in the language of stochastic mechanics, employing an analytical Langevin framework and a numerical Euler iteration scheme. Both methods confirm that small black holes behave as thermal systems with Gaussian noise, while larger black holes develop a structured noise spectrum that a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18086","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/2503.18086/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":"2026-07-05T10:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t4eAQYVq8IMtFMzbSXyhY9VPaeJr8m4V9xXgWp1VuRIi/3rkj8Td1ouoDLxGQk/lk+fNoDuLcQ6xIn8uZuGcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T21:41:58.556144Z"},"content_sha256":"efb5f157e9cec58f044a1ad773c962ddf788630b3a4f30d42e1e6ce6f588b5c7","schema_version":"1.0","event_id":"sha256:efb5f157e9cec58f044a1ad773c962ddf788630b3a4f30d42e1e6ce6f588b5c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/bundle.json","state_url":"https://pith.science/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/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":"2026-08-17T21:41:58Z","links":{"resolver":"https://pith.science/pith/WSCUELUV5KGAFE7KITBYYSIBLJ","bundle":"https://pith.science/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/bundle.json","state":"https://pith.science/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSCUELUV5KGAFE7KITBYYSIBLJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WSCUELUV5KGAFE7KITBYYSIBLJ","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":"6689da661c5e1a7a7f288ee4f8383d190facc8d2884da908c50763fc41cde5cc","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-23T14:34:55Z","title_canon_sha256":"bbcc0e6a706c3b58b83109cf6cbdf63b0ff52cd2455b73fd886bfdb7601bff11"},"schema_version":"1.0","source":{"id":"2503.18086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.18086","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2503.18086v1","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18086","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"WSCUELUV5KGA","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"WSCUELUV5KGAFE7K","created_at":"2026-07-05T10:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"WSCUELUV","created_at":"2026-07-05T10:38:02Z"}],"graph_snapshots":[{"event_id":"sha256:efb5f157e9cec58f044a1ad773c962ddf788630b3a4f30d42e1e6ce6f588b5c7","target":"graph","created_at":"2026-07-05T10:38:02Z","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/2503.18086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In Ref. arXiv:2502.08816, Hawking radiation was analyzed through a statistical mechanics framework, revealing a structured microstate description of black hole horizons and information transfer into the radiation background. This study extends that approach by formulating Hawking radiation and black hole evaporation in the language of stochastic mechanics, employing an analytical Langevin framework and a numerical Euler iteration scheme. Both methods confirm that small black holes behave as thermal systems with Gaussian noise, while larger black holes develop a structured noise spectrum that a","authors_text":"Noah M. MacKay","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-23T14:34:55Z","title":"The Stochastic Mechanics of Hawking Radiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18086","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:f4cbfaaec830b3ee6919f02c1133e093a0dd73cd3805eb9d23995bc1965d843f","target":"record","created_at":"2026-07-05T10:38:02Z","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":"6689da661c5e1a7a7f288ee4f8383d190facc8d2884da908c50763fc41cde5cc","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-23T14:34:55Z","title_canon_sha256":"bbcc0e6a706c3b58b83109cf6cbdf63b0ff52cd2455b73fd886bfdb7601bff11"},"schema_version":"1.0","source":{"id":"2503.18086","kind":"arxiv","version":1}},"canonical_sha256":"b485422e95ea8c0293ea44c38c49015a5bdea7e63be79f2e7355e1d47e100187","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b485422e95ea8c0293ea44c38c49015a5bdea7e63be79f2e7355e1d47e100187","first_computed_at":"2026-07-05T10:38:02.352407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:38:02.352407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"skwy66XLqOMpQuGvtfJT0FH/JI9jgNj7Ca5m24UUC/A94mzzALCWRc0YmvA2uxP2ybpMojaPlfr3EF/eKFepAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:38:02.353380Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.18086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4cbfaaec830b3ee6919f02c1133e093a0dd73cd3805eb9d23995bc1965d843f","sha256:efb5f157e9cec58f044a1ad773c962ddf788630b3a4f30d42e1e6ce6f588b5c7"],"state_sha256":"090283148cea713d18a5df28eef42b84837251adde75ffaba9a9897f4328ddf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMvfohsySBseqrXpvMhtVYWobcfAm5zNiF0uaSD1261JonPHZD8zUC3vkquT7SsbMrDyYgLADJzD5/iuG7u0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T21:41:58.561451Z","bundle_sha256":"8bcc898db9aef37c90fedfaca76ea989e7798c39040ee6448115c63520787c14"}}