{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MBWHPL4STGC7BAVWESSJUJJT37","short_pith_number":"pith:MBWHPL4S","canonical_record":{"source":{"id":"1812.02889","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-07T03:13:11Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5e82f759281dc423ac1fb9bbc060d4d6650babd5a40c2f983385a257906f2333","abstract_canon_sha256":"f53c034d2d544ed957158e88ae78de2097ceed818b3328e1f0bdedd3a11f987a"},"schema_version":"1.0"},"canonical_sha256":"606c77af929985f082b624a49a2533dff21bce2dbbad9de746d447b07d14195d","source":{"kind":"arxiv","id":"1812.02889","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02889","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02889v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02889","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"MBWHPL4STGC7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBWHPL4STGC7BAVW","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBWHPL4S","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MBWHPL4STGC7BAVWESSJUJJT37","target":"record","payload":{"canonical_record":{"source":{"id":"1812.02889","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-07T03:13:11Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5e82f759281dc423ac1fb9bbc060d4d6650babd5a40c2f983385a257906f2333","abstract_canon_sha256":"f53c034d2d544ed957158e88ae78de2097ceed818b3328e1f0bdedd3a11f987a"},"schema_version":"1.0"},"canonical_sha256":"606c77af929985f082b624a49a2533dff21bce2dbbad9de746d447b07d14195d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:17.049228Z","signature_b64":"0thvELhNhQv+p2FiD4qhca60i+zj7wf3otyrmBrBqzqIIWPVNqVpMwEc+8qvX6gJMa1de0Ue4OkYDNAkb0BzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"606c77af929985f082b624a49a2533dff21bce2dbbad9de746d447b07d14195d","last_reissued_at":"2026-05-17T23:43:17.048562Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:17.048562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.02889","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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Z9BcPtIa0fAcx0xY+fCeWwzwM5ql/ueWSQzIooShRM3j+RW6MlC7SQjSYOstGc3DqB5S08HA42JWYeZ16jCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:11:02.375439Z"},"content_sha256":"61849622804cbd681d991f9ae3e0da53741f207ac8562bc187dd0f7b29fafd00","schema_version":"1.0","event_id":"sha256:61849622804cbd681d991f9ae3e0da53741f207ac8562bc187dd0f7b29fafd00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MBWHPL4STGC7BAVWESSJUJJT37","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Homero G. D\\'iaz-Mar\\'in","submitted_at":"2018-12-07T03:13:11Z","abstract_excerpt":"We define a family of observables for abelian Yang-Mills fields associated to compact regions $U \\subseteq M$ with smooth boundary in Riemannian manifolds. Each observable is parametrized by a first variation of solutions and arises as the integration of gauge invariant conserved current along admissible hypersurfaces contained in the region. The Poisson bracket uses the integration of a canonical presymplectic current."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02889","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":""},"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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UtcDqIu1fY4b+Akh+NJ/5l9QzDvkIdrvV36TfH7VZYoOODsMhbHXMXAjhfAlsO7koVb1mMh3UKrZ8v1RmVTpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:11:02.375781Z"},"content_sha256":"442c568942dcd4920e778571615ca75072eb3338c9aaf7c0811551cf29cf285e","schema_version":"1.0","event_id":"sha256:442c568942dcd4920e778571615ca75072eb3338c9aaf7c0811551cf29cf285e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBWHPL4STGC7BAVWESSJUJJT37/bundle.json","state_url":"https://pith.science/pith/MBWHPL4STGC7BAVWESSJUJJT37/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBWHPL4STGC7BAVWESSJUJJT37/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":"2026-06-04T19:11:02Z","links":{"resolver":"https://pith.science/pith/MBWHPL4STGC7BAVWESSJUJJT37","bundle":"https://pith.science/pith/MBWHPL4STGC7BAVWESSJUJJT37/bundle.json","state":"https://pith.science/pith/MBWHPL4STGC7BAVWESSJUJJT37/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBWHPL4STGC7BAVWESSJUJJT37/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MBWHPL4STGC7BAVWESSJUJJT37","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":"f53c034d2d544ed957158e88ae78de2097ceed818b3328e1f0bdedd3a11f987a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-07T03:13:11Z","title_canon_sha256":"5e82f759281dc423ac1fb9bbc060d4d6650babd5a40c2f983385a257906f2333"},"schema_version":"1.0","source":{"id":"1812.02889","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02889","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02889v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02889","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"MBWHPL4STGC7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBWHPL4STGC7BAVW","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBWHPL4S","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:442c568942dcd4920e778571615ca75072eb3338c9aaf7c0811551cf29cf285e","target":"graph","created_at":"2026-05-17T23:43:17Z","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 define a family of observables for abelian Yang-Mills fields associated to compact regions $U \\subseteq M$ with smooth boundary in Riemannian manifolds. Each observable is parametrized by a first variation of solutions and arises as the integration of gauge invariant conserved current along admissible hypersurfaces contained in the region. The Poisson bracket uses the integration of a canonical presymplectic current.","authors_text":"Homero G. D\\'iaz-Mar\\'in","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-07T03:13:11Z","title":"A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02889","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":"sha256:61849622804cbd681d991f9ae3e0da53741f207ac8562bc187dd0f7b29fafd00","target":"record","created_at":"2026-05-17T23:43:17Z","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":"f53c034d2d544ed957158e88ae78de2097ceed818b3328e1f0bdedd3a11f987a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-07T03:13:11Z","title_canon_sha256":"5e82f759281dc423ac1fb9bbc060d4d6650babd5a40c2f983385a257906f2333"},"schema_version":"1.0","source":{"id":"1812.02889","kind":"arxiv","version":2}},"canonical_sha256":"606c77af929985f082b624a49a2533dff21bce2dbbad9de746d447b07d14195d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"606c77af929985f082b624a49a2533dff21bce2dbbad9de746d447b07d14195d","first_computed_at":"2026-05-17T23:43:17.048562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:17.048562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0thvELhNhQv+p2FiD4qhca60i+zj7wf3otyrmBrBqzqIIWPVNqVpMwEc+8qvX6gJMa1de0Ue4OkYDNAkb0BzCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:17.049228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02889","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61849622804cbd681d991f9ae3e0da53741f207ac8562bc187dd0f7b29fafd00","sha256:442c568942dcd4920e778571615ca75072eb3338c9aaf7c0811551cf29cf285e"],"state_sha256":"e58f8e6b17832313d24520b69419b7891d68b4769a500735370f745632ac253a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I47ZZ+Ps//DRgfZmn0ibSXu0HQAB/pXeyqZjDI6c/zumtsWc/IUN4V60/dcCQOFhAdEB61JEaQQSGdWvyV/DCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:11:02.377723Z","bundle_sha256":"f10c73dd46ce7094c02459babb865c599906c534e0fbab95aa8d0a873765a098"}}