{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:EQMZ4BXIMVMOIEHYQYOP4SVDTJ","short_pith_number":"pith:EQMZ4BXI","canonical_record":{"source":{"id":"0712.0678","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-05T11:09:17Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"ca3c07f3069e2e390ba3e28bb10abddc00848f05a815d2257b0138a41c3d42c8","abstract_canon_sha256":"9ea15825f5e37d0fbb6cb95a890a0ce3707bea6858f86df392ff308477774793"},"schema_version":"1.0"},"canonical_sha256":"24199e06e86558e410f8861cfe4aa39a4d3bbb16772cfa3940c83c94d2f6975a","source":{"kind":"arxiv","id":"0712.0678","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0678","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0678v3","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0678","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"EQMZ4BXIMVMO","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EQMZ4BXIMVMOIEHY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EQMZ4BXI","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:EQMZ4BXIMVMOIEHYQYOP4SVDTJ","target":"record","payload":{"canonical_record":{"source":{"id":"0712.0678","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-05T11:09:17Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"ca3c07f3069e2e390ba3e28bb10abddc00848f05a815d2257b0138a41c3d42c8","abstract_canon_sha256":"9ea15825f5e37d0fbb6cb95a890a0ce3707bea6858f86df392ff308477774793"},"schema_version":"1.0"},"canonical_sha256":"24199e06e86558e410f8861cfe4aa39a4d3bbb16772cfa3940c83c94d2f6975a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:11.883063Z","signature_b64":"8K86zpsB+lRyfWBejrSjaqPs+f91V5lGsl+/Ccv0gaSXaKEIk2znANhZwSs/yTE1Fq98wGqmbVWeRFMkI3mKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24199e06e86558e410f8861cfe4aa39a4d3bbb16772cfa3940c83c94d2f6975a","last_reissued_at":"2026-05-18T03:01:11.882330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:11.882330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.0678","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":"2026-05-18T03:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ew1hpqBvxQ+eTwUyc01evW+xiZ/8I/rtBQGQVMXsaqoWiQfaHa4MruQ9piazsfDhALkNfc2sI9kXcF5FRakBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:50:13.680663Z"},"content_sha256":"8745618797e6ff893e6fe49a084be998c25706a74067c74de36cada93fbf8702","schema_version":"1.0","event_id":"sha256:8745618797e6ff893e6fe49a084be998c25706a74067c74de36cada93fbf8702"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:EQMZ4BXIMVMOIEHYQYOP4SVDTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Action Principle for the Masses of Dirac Particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Felix Finster, Stefan Hoch","submitted_at":"2007-12-05T11:09:17Z","abstract_excerpt":"A variational principle is introduced which minimizes an action formulated for configurations of vacuum Dirac seas. The action is analyzed in position and momentum space. We relate the corresponding Euler-Lagrange equations to the notion of state stability. Examples of numerical minimizers are constructed and discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0678","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":"2026-05-18T03:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oZ15Y1TJNf7gOCEEzkUNQWwC5MpCs4DXTpq3Bo51WipywGN23KPg8/2yXDuANwG0cgTEjG5n5BzTilrmnshkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:50:13.681012Z"},"content_sha256":"af998c9094e486058f89aa2522b7baa3a7d6fe127f7b374969c0e6e996294c5a","schema_version":"1.0","event_id":"sha256:af998c9094e486058f89aa2522b7baa3a7d6fe127f7b374969c0e6e996294c5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/bundle.json","state_url":"https://pith.science/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/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":"2026-06-05T16:50:13Z","links":{"resolver":"https://pith.science/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ","bundle":"https://pith.science/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/bundle.json","state":"https://pith.science/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQMZ4BXIMVMOIEHYQYOP4SVDTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:EQMZ4BXIMVMOIEHYQYOP4SVDTJ","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":"9ea15825f5e37d0fbb6cb95a890a0ce3707bea6858f86df392ff308477774793","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-05T11:09:17Z","title_canon_sha256":"ca3c07f3069e2e390ba3e28bb10abddc00848f05a815d2257b0138a41c3d42c8"},"schema_version":"1.0","source":{"id":"0712.0678","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0678","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0678v3","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0678","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"EQMZ4BXIMVMO","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EQMZ4BXIMVMOIEHY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EQMZ4BXI","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:af998c9094e486058f89aa2522b7baa3a7d6fe127f7b374969c0e6e996294c5a","target":"graph","created_at":"2026-05-18T03:01:11Z","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":"A variational principle is introduced which minimizes an action formulated for configurations of vacuum Dirac seas. The action is analyzed in position and momentum space. We relate the corresponding Euler-Lagrange equations to the notion of state stability. Examples of numerical minimizers are constructed and discussed.","authors_text":"Felix Finster, Stefan Hoch","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-05T11:09:17Z","title":"An Action Principle for the Masses of Dirac Particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0678","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":"sha256:8745618797e6ff893e6fe49a084be998c25706a74067c74de36cada93fbf8702","target":"record","created_at":"2026-05-18T03:01:11Z","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":"9ea15825f5e37d0fbb6cb95a890a0ce3707bea6858f86df392ff308477774793","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-05T11:09:17Z","title_canon_sha256":"ca3c07f3069e2e390ba3e28bb10abddc00848f05a815d2257b0138a41c3d42c8"},"schema_version":"1.0","source":{"id":"0712.0678","kind":"arxiv","version":3}},"canonical_sha256":"24199e06e86558e410f8861cfe4aa39a4d3bbb16772cfa3940c83c94d2f6975a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24199e06e86558e410f8861cfe4aa39a4d3bbb16772cfa3940c83c94d2f6975a","first_computed_at":"2026-05-18T03:01:11.882330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:11.882330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8K86zpsB+lRyfWBejrSjaqPs+f91V5lGsl+/Ccv0gaSXaKEIk2znANhZwSs/yTE1Fq98wGqmbVWeRFMkI3mKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:11.883063Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.0678","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8745618797e6ff893e6fe49a084be998c25706a74067c74de36cada93fbf8702","sha256:af998c9094e486058f89aa2522b7baa3a7d6fe127f7b374969c0e6e996294c5a"],"state_sha256":"92ecd5357caddb39a680e46fb7d962c764b1cbcdbc23c0d06cf72b9695c110d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GGlhAmXx7+XyWINOV+LAsSWcr1REf2rxxJEHR16hnuk21z1Zh81YU+/G4IyNyZrYRfFio7pKxzFXgb90NsWYCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:50:13.684102Z","bundle_sha256":"982ef3e1a5e89be94372489245267187c626b63f34b4d8f6abc16b688fd86c6a"}}