{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NRNEH2ET7ASHPZHRQK2UHRSMAP","short_pith_number":"pith:NRNEH2ET","canonical_record":{"source":{"id":"1105.6300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-31T14:30:22Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"a3491b40b4a448df122f8e667d291e5ea56ad37b3a7b895f7c409c03aeef55d2","abstract_canon_sha256":"1ad13430cbdb1cd004c67ef9badc097989d9191f3513461ec92b7697750c602d"},"schema_version":"1.0"},"canonical_sha256":"6c5a43e893f82477e4f182b543c64c03e35726e8560b0a1b978a5f4fd6050f1d","source":{"kind":"arxiv","id":"1105.6300","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.6300","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.6300v1","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.6300","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"NRNEH2ET7ASH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NRNEH2ET7ASHPZHR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NRNEH2ET","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NRNEH2ET7ASHPZHRQK2UHRSMAP","target":"record","payload":{"canonical_record":{"source":{"id":"1105.6300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-31T14:30:22Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"a3491b40b4a448df122f8e667d291e5ea56ad37b3a7b895f7c409c03aeef55d2","abstract_canon_sha256":"1ad13430cbdb1cd004c67ef9badc097989d9191f3513461ec92b7697750c602d"},"schema_version":"1.0"},"canonical_sha256":"6c5a43e893f82477e4f182b543c64c03e35726e8560b0a1b978a5f4fd6050f1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:59.788738Z","signature_b64":"InRCIdeqIFjQpgdF4dc0Xq6XpsRhjdE4NnfUtuuQQllfvszDXx7I7o9iB7mPmX2G+CRw4suuh65K8u0I2y2MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c5a43e893f82477e4f182b543c64c03e35726e8560b0a1b978a5f4fd6050f1d","last_reissued_at":"2026-05-18T04:20:59.788118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:59.788118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.6300","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":"2026-05-18T04:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4MJG3Z75rFagtk7HS9XZwb7b2Oh2MU4eLfyIYCjlyoPNlstvie7LjXZATNj2R3uqHz604RhBFrTRTY1XF4JDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T12:20:39.289042Z"},"content_sha256":"0fa248822bae7a817c57e702d63c5a576748e72e3db75c0815febaf9302805cc","schema_version":"1.0","event_id":"sha256:0fa248822bae7a817c57e702d63c5a576748e72e3db75c0815febaf9302805cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NRNEH2ET7ASHPZHRQK2UHRSMAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin and orbital angular momentum of the tensor gauge field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Ben-Chao Zhu, Niall \\'O Murchadha, Xiang-Song Chen","submitted_at":"2011-05-31T14:30:22Z","abstract_excerpt":"Following the recent studies of the trickiness in spin and orbital angular momentum of the vector gauge fields, we perform here a parallel analysis for the tensor gauge field, which has certain relation to gravitation. Similarly to the vector case, we find a nice feature that after removing all gauge degrees of freedom the angular momentum of the tensor gauge field vanishes for a stationary system. This angular momentum also shows a one-parameter invariance over the infinitely many ways of complete gauge fixing for the tensor field. The tensor gauge coupling, however, does exhibit a critical d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.6300","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":"2026-05-18T04:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"curC2z2VZ0uh5VIunsCKuHBF2rI9oviKOgE0UZh8T7wX3DHVsK7Npv3RXaoPgNNpTnYhVet5UBX6fAa8J55WAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T12:20:39.289394Z"},"content_sha256":"0302d931d6cb6a0bb8190bc5a6f87aa447531bf005dfc8ea5d4c5b380ba4bdeb","schema_version":"1.0","event_id":"sha256:0302d931d6cb6a0bb8190bc5a6f87aa447531bf005dfc8ea5d4c5b380ba4bdeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/bundle.json","state_url":"https://pith.science/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/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":"2026-07-04T12:20:39Z","links":{"resolver":"https://pith.science/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP","bundle":"https://pith.science/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/bundle.json","state":"https://pith.science/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NRNEH2ET7ASHPZHRQK2UHRSMAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NRNEH2ET7ASHPZHRQK2UHRSMAP","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":"1ad13430cbdb1cd004c67ef9badc097989d9191f3513461ec92b7697750c602d","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-31T14:30:22Z","title_canon_sha256":"a3491b40b4a448df122f8e667d291e5ea56ad37b3a7b895f7c409c03aeef55d2"},"schema_version":"1.0","source":{"id":"1105.6300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.6300","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.6300v1","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.6300","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"NRNEH2ET7ASH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NRNEH2ET7ASHPZHR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NRNEH2ET","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:0302d931d6cb6a0bb8190bc5a6f87aa447531bf005dfc8ea5d4c5b380ba4bdeb","target":"graph","created_at":"2026-05-18T04:20:59Z","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":"Following the recent studies of the trickiness in spin and orbital angular momentum of the vector gauge fields, we perform here a parallel analysis for the tensor gauge field, which has certain relation to gravitation. Similarly to the vector case, we find a nice feature that after removing all gauge degrees of freedom the angular momentum of the tensor gauge field vanishes for a stationary system. This angular momentum also shows a one-parameter invariance over the infinitely many ways of complete gauge fixing for the tensor field. The tensor gauge coupling, however, does exhibit a critical d","authors_text":"Ben-Chao Zhu, Niall \\'O Murchadha, Xiang-Song Chen","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-31T14:30:22Z","title":"Spin and orbital angular momentum of the tensor gauge field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.6300","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":"sha256:0fa248822bae7a817c57e702d63c5a576748e72e3db75c0815febaf9302805cc","target":"record","created_at":"2026-05-18T04:20:59Z","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":"1ad13430cbdb1cd004c67ef9badc097989d9191f3513461ec92b7697750c602d","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-31T14:30:22Z","title_canon_sha256":"a3491b40b4a448df122f8e667d291e5ea56ad37b3a7b895f7c409c03aeef55d2"},"schema_version":"1.0","source":{"id":"1105.6300","kind":"arxiv","version":1}},"canonical_sha256":"6c5a43e893f82477e4f182b543c64c03e35726e8560b0a1b978a5f4fd6050f1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c5a43e893f82477e4f182b543c64c03e35726e8560b0a1b978a5f4fd6050f1d","first_computed_at":"2026-05-18T04:20:59.788118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:59.788118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"InRCIdeqIFjQpgdF4dc0Xq6XpsRhjdE4NnfUtuuQQllfvszDXx7I7o9iB7mPmX2G+CRw4suuh65K8u0I2y2MBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:59.788738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.6300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fa248822bae7a817c57e702d63c5a576748e72e3db75c0815febaf9302805cc","sha256:0302d931d6cb6a0bb8190bc5a6f87aa447531bf005dfc8ea5d4c5b380ba4bdeb"],"state_sha256":"35ccff19f2a6294540d9137522a89125511ca9e09c582a750333ff9762364314"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WMjYBE6UaY3SVxDIPS/7BDdbomh7Pb4tCWkRcrEhsqOfURiMCsX/J0A6GTNeMzYxgjE/tTWReunro+LCO8QBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T12:20:39.291254Z","bundle_sha256":"255628e96addb89ed1addc78b32757cdbcf1dc204539e23750992ab01eb5881e"}}