{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:YIUODFPFPLSEHTHKXDXO3GEHGW","short_pith_number":"pith:YIUODFPF","canonical_record":{"source":{"id":"hep-ph/0007015","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-03T16:18:41Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"89105c417f21cf10364c7c22b263f24589facb0d1bd2706ccf3c96bd2efb3503","abstract_canon_sha256":"65df921840c27a1f3009d79493511c5f19b6c9f56b605509f02ac0cdffe9dac8"},"schema_version":"1.0"},"canonical_sha256":"c228e195e57ae443cceab8eeed9887359407e9d968029b15ee260a64427fbc50","source":{"kind":"arxiv","id":"hep-ph/0007015","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007015","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007015v2","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007015","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"YIUODFPFPLSE","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_16","alias_value":"YIUODFPFPLSEHTHK","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_8","alias_value":"YIUODFPF","created_at":"2026-07-04T16:20:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:YIUODFPFPLSEHTHKXDXO3GEHGW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0007015","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-03T16:18:41Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"89105c417f21cf10364c7c22b263f24589facb0d1bd2706ccf3c96bd2efb3503","abstract_canon_sha256":"65df921840c27a1f3009d79493511c5f19b6c9f56b605509f02ac0cdffe9dac8"},"schema_version":"1.0"},"canonical_sha256":"c228e195e57ae443cceab8eeed9887359407e9d968029b15ee260a64427fbc50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:13.427077Z","signature_b64":"TTptNBcV2lPkyXYLspYfVJIWPsGJ+oAWmwt1IyXr7fEHoDzizhFIF2STZ+G4yNrDPdzUh9rKGqDpgwNJKw5UCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c228e195e57ae443cceab8eeed9887359407e9d968029b15ee260a64427fbc50","last_reissued_at":"2026-07-04T16:20:13.426655Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:13.426655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0007015","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":"2026-07-04T16:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EgOSdYGlNFj/DDBzzEYY39lBnVNFWb5/pE7CfRX7/QirF/9Dyv7q/13Lq+p+i4TRCV8vo8MhbiEmjjErwSDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T13:44:38.048583Z"},"content_sha256":"7a5ea9c253ccc23f9eb45224445ae5a8da9d7ead46a5d2dd6673a85c9405e9f9","schema_version":"1.0","event_id":"sha256:7a5ea9c253ccc23f9eb45224445ae5a8da9d7ead46a5d2dd6673a85c9405e9f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:YIUODFPFPLSEHTHKXDXO3GEHGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equation of state of cosmic strings with fermionic current-carriers","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-ph","authors_text":"Christophe Ringeval","submitted_at":"2000-07-03T16:18:41Z","abstract_excerpt":"The relevant characteristic features, including energy per unit length and tension, of a cosmic string carrying massless fermionic currents in the framework of the Witten model in the neutral limit are derived through quantization of the spinor fields along the string. The construction of a Fock space is performed by means of a separation between longitudinal modes and the so-called transverse zero energy solutions of the Dirac equation in the vortex. As a result, quantization leads to a set of naturally defined state parameters which are the number densities of particles and anti-particles tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007015","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0007015/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":"2026-07-04T16:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDmY16bOEUjUbDox2/AfXNpC6yTU9dziLGVqkHdow2i8hvhnf6277h5QuYzOZjKx3w7RZ7AlP3+gc9KiKtROCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T13:44:38.048938Z"},"content_sha256":"6e5cc4536a2bbab15adc28832016cd2b7054ca859be74573ffdac4ec5d766703","schema_version":"1.0","event_id":"sha256:6e5cc4536a2bbab15adc28832016cd2b7054ca859be74573ffdac4ec5d766703"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/bundle.json","state_url":"https://pith.science/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/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":"2026-08-22T13:44:38Z","links":{"resolver":"https://pith.science/pith/YIUODFPFPLSEHTHKXDXO3GEHGW","bundle":"https://pith.science/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/bundle.json","state":"https://pith.science/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YIUODFPFPLSEHTHKXDXO3GEHGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:YIUODFPFPLSEHTHKXDXO3GEHGW","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":"65df921840c27a1f3009d79493511c5f19b6c9f56b605509f02ac0cdffe9dac8","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-03T16:18:41Z","title_canon_sha256":"89105c417f21cf10364c7c22b263f24589facb0d1bd2706ccf3c96bd2efb3503"},"schema_version":"1.0","source":{"id":"hep-ph/0007015","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007015","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007015v2","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007015","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"YIUODFPFPLSE","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_16","alias_value":"YIUODFPFPLSEHTHK","created_at":"2026-07-04T16:20:13Z"},{"alias_kind":"pith_short_8","alias_value":"YIUODFPF","created_at":"2026-07-04T16:20:13Z"}],"graph_snapshots":[{"event_id":"sha256:6e5cc4536a2bbab15adc28832016cd2b7054ca859be74573ffdac4ec5d766703","target":"graph","created_at":"2026-07-04T16:20:13Z","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/hep-ph/0007015/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The relevant characteristic features, including energy per unit length and tension, of a cosmic string carrying massless fermionic currents in the framework of the Witten model in the neutral limit are derived through quantization of the spinor fields along the string. The construction of a Fock space is performed by means of a separation between longitudinal modes and the so-called transverse zero energy solutions of the Dirac equation in the vortex. As a result, quantization leads to a set of naturally defined state parameters which are the number densities of particles and anti-particles tr","authors_text":"Christophe Ringeval","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-07-03T16:18:41Z","title":"Equation of state of cosmic strings with fermionic current-carriers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007015","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":"sha256:7a5ea9c253ccc23f9eb45224445ae5a8da9d7ead46a5d2dd6673a85c9405e9f9","target":"record","created_at":"2026-07-04T16:20:13Z","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":"65df921840c27a1f3009d79493511c5f19b6c9f56b605509f02ac0cdffe9dac8","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-03T16:18:41Z","title_canon_sha256":"89105c417f21cf10364c7c22b263f24589facb0d1bd2706ccf3c96bd2efb3503"},"schema_version":"1.0","source":{"id":"hep-ph/0007015","kind":"arxiv","version":2}},"canonical_sha256":"c228e195e57ae443cceab8eeed9887359407e9d968029b15ee260a64427fbc50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c228e195e57ae443cceab8eeed9887359407e9d968029b15ee260a64427fbc50","first_computed_at":"2026-07-04T16:20:13.426655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:13.426655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TTptNBcV2lPkyXYLspYfVJIWPsGJ+oAWmwt1IyXr7fEHoDzizhFIF2STZ+G4yNrDPdzUh9rKGqDpgwNJKw5UCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:13.427077Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0007015","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a5ea9c253ccc23f9eb45224445ae5a8da9d7ead46a5d2dd6673a85c9405e9f9","sha256:6e5cc4536a2bbab15adc28832016cd2b7054ca859be74573ffdac4ec5d766703"],"state_sha256":"c2058bc52ad30ea61ba0c1db2fa1836328a3dd2ff7590bfd82913e9f1c1c8315"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2c0+2ReZJSCi00bgiffSgti87arcwlZIJpcytUjPj7+7aspD3nnRDCM2wRTaZ+HvfTAEMoCe0Zdi2MPH/XrDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T13:44:38.053376Z","bundle_sha256":"14eca0c4a2cec6bbf0c00211f0489817ddee4e03fd1ea701605040b596895a4e"}}