{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:4HTRNPLIETQHXZGAGUODMQZN4C","short_pith_number":"pith:4HTRNPLI","canonical_record":{"source":{"id":"math-ph/0202043","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-02-27T10:37:10Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"8d4a8ca5397c6e1e01471904a11d77ecc784b63f3fff3ce00e737415af6f2b5a","abstract_canon_sha256":"db40b0d0902a8ccb30609f8fc966768cab434634eca23234201f46f7d3f68327"},"schema_version":"1.0"},"canonical_sha256":"e1e716bd6824e07be4c0351c36432de0b0b44cf287a5be43a9a2bf921cad4e3d","source":{"kind":"arxiv","id":"math-ph/0202043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0202043","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0202043v1","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0202043","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"4HTRNPLIETQH","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_16","alias_value":"4HTRNPLIETQHXZGA","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_8","alias_value":"4HTRNPLI","created_at":"2026-07-04T16:35:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:4HTRNPLIETQHXZGAGUODMQZN4C","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0202043","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-02-27T10:37:10Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"8d4a8ca5397c6e1e01471904a11d77ecc784b63f3fff3ce00e737415af6f2b5a","abstract_canon_sha256":"db40b0d0902a8ccb30609f8fc966768cab434634eca23234201f46f7d3f68327"},"schema_version":"1.0"},"canonical_sha256":"e1e716bd6824e07be4c0351c36432de0b0b44cf287a5be43a9a2bf921cad4e3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:35:02.257122Z","signature_b64":"/8PWnJ3BmItLox1bIAl18904bE+UhZWw4B9PU10Ky5JiHdYYoS2TJ+tabOP7BY4C5ldzRT4IRnO5ewQXYB06CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1e716bd6824e07be4c0351c36432de0b0b44cf287a5be43a9a2bf921cad4e3d","last_reissued_at":"2026-07-04T16:35:02.256692Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:35:02.256692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0202043","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":"2026-07-04T16:35:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEsFlw/M7XZT4oTuhJlsI/alumAItwMRlXhtAFi1ke4SXtBrLYEBn8N/soqoaDzl63gkLwDQj5LZSHOt4BUwDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T21:55:23.161128Z"},"content_sha256":"2154329508366b354cd48fd5bbf194223d4f732dc36368e8e2d93d7f06a8f757","schema_version":"1.0","event_id":"sha256:2154329508366b354cd48fd5bbf194223d4f732dc36368e8e2d93d7f06a8f757"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:4HTRNPLIETQHXZGAGUODMQZN4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory","license":"","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Cornelius Paufler, Hartmann Roemer, Michael Forger","submitted_at":"2002-02-27T10:37:10Z","abstract_excerpt":"We present a general definition of the Poisson bracket between differential forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories and, more generally, on exact multisymplectic manifolds. It is well defined for a certain class of differential forms that we propose to call Poisson forms and turns the space of Poisson forms into a Lie superalgebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0202043","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/math-ph/0202043/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":"2026-07-04T16:35:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGzJrEkDVdB6TaLaaelEmPXbnSjLnjeW24pWEIS23EEBYgscn6sA55u7M+mz5pHNWyLsky2MZKRzV6DvOwS+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T21:55:23.162121Z"},"content_sha256":"2cc2884d9086905a17bcc7972aa89787aa7b3c6ff2d22698ab814db8eb06b48b","schema_version":"1.0","event_id":"sha256:2cc2884d9086905a17bcc7972aa89787aa7b3c6ff2d22698ab814db8eb06b48b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4HTRNPLIETQHXZGAGUODMQZN4C/bundle.json","state_url":"https://pith.science/pith/4HTRNPLIETQHXZGAGUODMQZN4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4HTRNPLIETQHXZGAGUODMQZN4C/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":"2026-08-19T21:55:23Z","links":{"resolver":"https://pith.science/pith/4HTRNPLIETQHXZGAGUODMQZN4C","bundle":"https://pith.science/pith/4HTRNPLIETQHXZGAGUODMQZN4C/bundle.json","state":"https://pith.science/pith/4HTRNPLIETQHXZGAGUODMQZN4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4HTRNPLIETQHXZGAGUODMQZN4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:4HTRNPLIETQHXZGAGUODMQZN4C","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":"db40b0d0902a8ccb30609f8fc966768cab434634eca23234201f46f7d3f68327","cross_cats_sorted":["math.DG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-02-27T10:37:10Z","title_canon_sha256":"8d4a8ca5397c6e1e01471904a11d77ecc784b63f3fff3ce00e737415af6f2b5a"},"schema_version":"1.0","source":{"id":"math-ph/0202043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0202043","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0202043v1","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0202043","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"4HTRNPLIETQH","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_16","alias_value":"4HTRNPLIETQHXZGA","created_at":"2026-07-04T16:35:02Z"},{"alias_kind":"pith_short_8","alias_value":"4HTRNPLI","created_at":"2026-07-04T16:35:02Z"}],"graph_snapshots":[{"event_id":"sha256:2cc2884d9086905a17bcc7972aa89787aa7b3c6ff2d22698ab814db8eb06b48b","target":"graph","created_at":"2026-07-04T16:35:02Z","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/math-ph/0202043/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a general definition of the Poisson bracket between differential forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories and, more generally, on exact multisymplectic manifolds. It is well defined for a certain class of differential forms that we propose to call Poisson forms and turns the space of Poisson forms into a Lie superalgebra.","authors_text":"Cornelius Paufler, Hartmann Roemer, Michael Forger","cross_cats":["math.DG","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2002-02-27T10:37:10Z","title":"The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0202043","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":"sha256:2154329508366b354cd48fd5bbf194223d4f732dc36368e8e2d93d7f06a8f757","target":"record","created_at":"2026-07-04T16:35:02Z","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":"db40b0d0902a8ccb30609f8fc966768cab434634eca23234201f46f7d3f68327","cross_cats_sorted":["math.DG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-02-27T10:37:10Z","title_canon_sha256":"8d4a8ca5397c6e1e01471904a11d77ecc784b63f3fff3ce00e737415af6f2b5a"},"schema_version":"1.0","source":{"id":"math-ph/0202043","kind":"arxiv","version":1}},"canonical_sha256":"e1e716bd6824e07be4c0351c36432de0b0b44cf287a5be43a9a2bf921cad4e3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1e716bd6824e07be4c0351c36432de0b0b44cf287a5be43a9a2bf921cad4e3d","first_computed_at":"2026-07-04T16:35:02.256692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:35:02.256692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/8PWnJ3BmItLox1bIAl18904bE+UhZWw4B9PU10Ky5JiHdYYoS2TJ+tabOP7BY4C5ldzRT4IRnO5ewQXYB06CA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:35:02.257122Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0202043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2154329508366b354cd48fd5bbf194223d4f732dc36368e8e2d93d7f06a8f757","sha256:2cc2884d9086905a17bcc7972aa89787aa7b3c6ff2d22698ab814db8eb06b48b"],"state_sha256":"a73d2c247ee5b68b90070388c4c761b940417446d22c427f5c510f2e58bf5381"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6smPlxd/qrW2EoCq0aLavmH0tE9dEbDH7AkJGF0/mzXxsKPs/588k8E1UDjLLcMVjRK77fKn1QambdPQ/jGTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T21:55:23.167987Z","bundle_sha256":"c3e76dfe188e1930b32e2a50a82295b3e853d352ac025b0a330d251f2dd4ecdb"}}