{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SHTN7ZORXDXEJ5ZL3WAMPVKINQ","short_pith_number":"pith:SHTN7ZOR","canonical_record":{"source":{"id":"1011.3219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-14T11:44:06Z","cross_cats_sorted":[],"title_canon_sha256":"b68ba445f949ea5e1b9c499c56cbe555cfb9fb63a2b38d93dd0e8f5faf187bbb","abstract_canon_sha256":"89ac375ac64fd99d40ec294ef9238585e588793165be73831f251e00fbe096eb"},"schema_version":"1.0"},"canonical_sha256":"91e6dfe5d1b8ee44f72bdd80c7d5486c27f9074a60f9142bc865083fd4011c02","source":{"kind":"arxiv","id":"1011.3219","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3219","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3219v1","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3219","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"SHTN7ZORXDXE","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SHTN7ZORXDXEJ5ZL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SHTN7ZOR","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SHTN7ZORXDXEJ5ZL3WAMPVKINQ","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-14T11:44:06Z","cross_cats_sorted":[],"title_canon_sha256":"b68ba445f949ea5e1b9c499c56cbe555cfb9fb63a2b38d93dd0e8f5faf187bbb","abstract_canon_sha256":"89ac375ac64fd99d40ec294ef9238585e588793165be73831f251e00fbe096eb"},"schema_version":"1.0"},"canonical_sha256":"91e6dfe5d1b8ee44f72bdd80c7d5486c27f9074a60f9142bc865083fd4011c02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:56.320364Z","signature_b64":"UMrzRZj7nQ5abt9RU91WZP3yBR4ZI6sfmuX0M3A4P4wOSwALxku/iVdnIP5zDXoTaRO6bJU80TehjIK4nAleCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91e6dfe5d1b8ee44f72bdd80c7d5486c27f9074a60f9142bc865083fd4011c02","last_reissued_at":"2026-05-18T04:35:56.319939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:56.319939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3219","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":"2026-05-18T04:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vPbIe8bbpP8i9sn2H04SM3CnBkF5bQfpUFJaS9oljmb3D/5KeDGe40ohH4gYqPRBwFikyU93g8Jy2HIFuL7TAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:59:55.894712Z"},"content_sha256":"8cc25795d3fd6b73e4390833872e017e4ca85f22024ed6c5c1f87826d4926204","schema_version":"1.0","event_id":"sha256:8cc25795d3fd6b73e4390833872e017e4ca85f22024ed6c5c1f87826d4926204"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SHTN7ZORXDXEJ5ZL3WAMPVKINQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Off-Shell Fields and Quantum Anomalies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dan Radu Grigore","submitted_at":"2010-11-14T11:44:06Z","abstract_excerpt":"We use the formalism of quantum off-shell fields for the case of pure Yang-Mills fields. In this formalism one can compute in a systematic way the second order anomalies of the tree sector."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3219","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":""},"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":"2026-05-18T04:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3JmTT98H2btBI3I6DwPYEdkg5/qqbI+NWD8ce7O7xMqurQiDHDU6H/c8a2AZgmX0AtBjmIjlC8EyM/AUo9L+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:59:55.895117Z"},"content_sha256":"7941d32e54fea77ed58d952ebd81361aa41aca53fa101ad85ca4e9ca530ad33b","schema_version":"1.0","event_id":"sha256:7941d32e54fea77ed58d952ebd81361aa41aca53fa101ad85ca4e9ca530ad33b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/bundle.json","state_url":"https://pith.science/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/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":"2026-06-11T10:59:55Z","links":{"resolver":"https://pith.science/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ","bundle":"https://pith.science/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/bundle.json","state":"https://pith.science/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SHTN7ZORXDXEJ5ZL3WAMPVKINQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SHTN7ZORXDXEJ5ZL3WAMPVKINQ","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":"89ac375ac64fd99d40ec294ef9238585e588793165be73831f251e00fbe096eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-14T11:44:06Z","title_canon_sha256":"b68ba445f949ea5e1b9c499c56cbe555cfb9fb63a2b38d93dd0e8f5faf187bbb"},"schema_version":"1.0","source":{"id":"1011.3219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3219","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3219v1","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3219","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"SHTN7ZORXDXE","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SHTN7ZORXDXEJ5ZL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SHTN7ZOR","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:7941d32e54fea77ed58d952ebd81361aa41aca53fa101ad85ca4e9ca530ad33b","target":"graph","created_at":"2026-05-18T04:35:56Z","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 use the formalism of quantum off-shell fields for the case of pure Yang-Mills fields. In this formalism one can compute in a systematic way the second order anomalies of the tree sector.","authors_text":"Dan Radu Grigore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-14T11:44:06Z","title":"Off-Shell Fields and Quantum Anomalies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3219","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":"sha256:8cc25795d3fd6b73e4390833872e017e4ca85f22024ed6c5c1f87826d4926204","target":"record","created_at":"2026-05-18T04:35:56Z","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":"89ac375ac64fd99d40ec294ef9238585e588793165be73831f251e00fbe096eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-14T11:44:06Z","title_canon_sha256":"b68ba445f949ea5e1b9c499c56cbe555cfb9fb63a2b38d93dd0e8f5faf187bbb"},"schema_version":"1.0","source":{"id":"1011.3219","kind":"arxiv","version":1}},"canonical_sha256":"91e6dfe5d1b8ee44f72bdd80c7d5486c27f9074a60f9142bc865083fd4011c02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91e6dfe5d1b8ee44f72bdd80c7d5486c27f9074a60f9142bc865083fd4011c02","first_computed_at":"2026-05-18T04:35:56.319939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:56.319939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UMrzRZj7nQ5abt9RU91WZP3yBR4ZI6sfmuX0M3A4P4wOSwALxku/iVdnIP5zDXoTaRO6bJU80TehjIK4nAleCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:56.320364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cc25795d3fd6b73e4390833872e017e4ca85f22024ed6c5c1f87826d4926204","sha256:7941d32e54fea77ed58d952ebd81361aa41aca53fa101ad85ca4e9ca530ad33b"],"state_sha256":"529f2e3195eacc6ab79800793db20a081bfd736b45c3a0a2b6872913c9e3e280"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B14uZ1Ec2G36yasvoY7AMgHmBXG73yu96dYbj3fHo8+6VMbW8E2KL45Jxepr9Onx1vEHNLBJxgPgxXcJlykWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:59:55.897368Z","bundle_sha256":"9b969f9c7a80baad3b3c8a1b43ed552c75b1964c6698315f977c88a523c6ecbf"}}