{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:BMQHFXII64HQ2MC5CKAPN6JTRI","short_pith_number":"pith:BMQHFXII","canonical_record":{"source":{"id":"math-ph/0406027","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-06-14T13:41:24Z","cross_cats_sorted":["math.DG","math.MP","math.PR"],"title_canon_sha256":"801b5da4f976f6d2c27dd5d1ed86be3ba558f248c36d6ca558fad2eeb8779487","abstract_canon_sha256":"7bc0cf1b9361d8b0c91c5bfceed1a73b9206013c976bae7b4754ad22678cee17"},"schema_version":"1.0"},"canonical_sha256":"0b2072dd08f70f0d305d1280f6f9338a215caa396a9899aa10e24adffc532544","source":{"kind":"arxiv","id":"math-ph/0406027","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0406027","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0406027v3","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0406027","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"BMQHFXII64HQ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"BMQHFXII64HQ2MC5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"BMQHFXII","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:BMQHFXII64HQ2MC5CKAPN6JTRI","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0406027","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-06-14T13:41:24Z","cross_cats_sorted":["math.DG","math.MP","math.PR"],"title_canon_sha256":"801b5da4f976f6d2c27dd5d1ed86be3ba558f248c36d6ca558fad2eeb8779487","abstract_canon_sha256":"7bc0cf1b9361d8b0c91c5bfceed1a73b9206013c976bae7b4754ad22678cee17"},"schema_version":"1.0"},"canonical_sha256":"0b2072dd08f70f0d305d1280f6f9338a215caa396a9899aa10e24adffc532544","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:53.303553Z","signature_b64":"3MpzSxnEShcTvADj3j+fkrfGja1qads/dg3G5/dcjGsIDJmFFhL6BV07q/q3sGUAQGb7mSlZntGDkwj1uabrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b2072dd08f70f0d305d1280f6f9338a215caa396a9899aa10e24adffc532544","last_reissued_at":"2026-05-18T01:08:53.302986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:53.302986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0406027","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":"2026-05-18T01:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5BgnYNyJDqiHE0kMNHqhU9QBQ0U9sL24/myoaJ15hk3Nib/RYYzbcYAw4HuWeNICLx7SsNycx78GrwyEY+5jBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:23:37.995260Z"},"content_sha256":"560625e4c96bafd4a354b5671dda2d4547e508af3a5050830388381a331c6143","schema_version":"1.0","event_id":"sha256:560625e4c96bafd4a354b5671dda2d4547e508af3a5050830388381a331c6143"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:BMQHFXII64HQ2MC5CKAPN6JTRI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations for the Yang-Mills measure on a compact surface","license":"","headline":"","cross_cats":["math.DG","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"James R. Norris (DPMMS), Thierry L\\'evy (DMA)","submitted_at":"2004-06-14T13:41:24Z","abstract_excerpt":"We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measures satisfy a large deviation principle with a rate function which is expressed in a simple and natural way in terms of the Yang-Mills energy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0406027","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":"2026-05-18T01:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0v37l2DupHa1E3XWa+r7ldzp3LYfIMqskUrYMh9zvs7l2GIEP/IdcnzlQDLRAOaLZCzSdGZFqyzqa4lsVR9iDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:23:37.995633Z"},"content_sha256":"2215507a556c6edd3edb15983107a718749eec604404e2bbb368846294897f3c","schema_version":"1.0","event_id":"sha256:2215507a556c6edd3edb15983107a718749eec604404e2bbb368846294897f3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/bundle.json","state_url":"https://pith.science/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/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":"2026-06-01T22:23:37Z","links":{"resolver":"https://pith.science/pith/BMQHFXII64HQ2MC5CKAPN6JTRI","bundle":"https://pith.science/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/bundle.json","state":"https://pith.science/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BMQHFXII64HQ2MC5CKAPN6JTRI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:BMQHFXII64HQ2MC5CKAPN6JTRI","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":"7bc0cf1b9361d8b0c91c5bfceed1a73b9206013c976bae7b4754ad22678cee17","cross_cats_sorted":["math.DG","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"2004-06-14T13:41:24Z","title_canon_sha256":"801b5da4f976f6d2c27dd5d1ed86be3ba558f248c36d6ca558fad2eeb8779487"},"schema_version":"1.0","source":{"id":"math-ph/0406027","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0406027","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0406027v3","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0406027","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"BMQHFXII64HQ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"BMQHFXII64HQ2MC5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"BMQHFXII","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:2215507a556c6edd3edb15983107a718749eec604404e2bbb368846294897f3c","target":"graph","created_at":"2026-05-18T01:08:53Z","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 prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measures satisfy a large deviation principle with a rate function which is expressed in a simple and natural way in terms of the Yang-Mills energy.","authors_text":"James R. Norris (DPMMS), Thierry L\\'evy (DMA)","cross_cats":["math.DG","math.MP","math.PR"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-06-14T13:41:24Z","title":"Large deviations for the Yang-Mills measure on a compact surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0406027","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":"sha256:560625e4c96bafd4a354b5671dda2d4547e508af3a5050830388381a331c6143","target":"record","created_at":"2026-05-18T01:08:53Z","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":"7bc0cf1b9361d8b0c91c5bfceed1a73b9206013c976bae7b4754ad22678cee17","cross_cats_sorted":["math.DG","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"2004-06-14T13:41:24Z","title_canon_sha256":"801b5da4f976f6d2c27dd5d1ed86be3ba558f248c36d6ca558fad2eeb8779487"},"schema_version":"1.0","source":{"id":"math-ph/0406027","kind":"arxiv","version":3}},"canonical_sha256":"0b2072dd08f70f0d305d1280f6f9338a215caa396a9899aa10e24adffc532544","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b2072dd08f70f0d305d1280f6f9338a215caa396a9899aa10e24adffc532544","first_computed_at":"2026-05-18T01:08:53.302986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:53.302986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3MpzSxnEShcTvADj3j+fkrfGja1qads/dg3G5/dcjGsIDJmFFhL6BV07q/q3sGUAQGb7mSlZntGDkwj1uabrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:53.303553Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0406027","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560625e4c96bafd4a354b5671dda2d4547e508af3a5050830388381a331c6143","sha256:2215507a556c6edd3edb15983107a718749eec604404e2bbb368846294897f3c"],"state_sha256":"85bf010601d5d986e35ae281979977de871a40a47bd44e265bd50795f8045c50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atLiVr/Ea7m8Ro87iIFlLJDDiwdOEwckWiEKfruwSbjaQcS/gIzsYGeDo2N6Yx2faSJjwijs5Gw90MKe9kOBBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:23:37.997714Z","bundle_sha256":"7c91c81e50c1a2df397bbd2a71547644347c370188cda7239fe05169e948ac77"}}