{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:54PLNZIDORQUFUAITCM7UESS4J","short_pith_number":"pith:54PLNZID","canonical_record":{"source":{"id":"0803.4325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-30T16:32:56Z","cross_cats_sorted":[],"title_canon_sha256":"f0f873152215505be322f4425c9f4052ab1dfc5cf09e32205f24ccae01e5a339","abstract_canon_sha256":"6f9b1e801f3128a53dc44eb8e50a09cdeb70cbc4b7659ab41a103a72c47b956b"},"schema_version":"1.0"},"canonical_sha256":"ef1eb6e503746142d0089899fa1252e25a4a5d0d96530e8994cd0e1b52f5c38c","source":{"kind":"arxiv","id":"0803.4325","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.4325","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"0803.4325v2","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.4325","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"54PLNZIDORQU","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"54PLNZIDORQUFUAI","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"54PLNZID","created_at":"2026-07-04T15:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:54PLNZIDORQUFUAITCM7UESS4J","target":"record","payload":{"canonical_record":{"source":{"id":"0803.4325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-30T16:32:56Z","cross_cats_sorted":[],"title_canon_sha256":"f0f873152215505be322f4425c9f4052ab1dfc5cf09e32205f24ccae01e5a339","abstract_canon_sha256":"6f9b1e801f3128a53dc44eb8e50a09cdeb70cbc4b7659ab41a103a72c47b956b"},"schema_version":"1.0"},"canonical_sha256":"ef1eb6e503746142d0089899fa1252e25a4a5d0d96530e8994cd0e1b52f5c38c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:27:04.567631Z","signature_b64":"4tneGfVTYI/giFa8rQX1k2wIYx+1+1yWOn1XcPzQ3L72YBpcqBVbmM7WX+PoDWP1/fIezeSiJ4b3Iaw1zlvPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef1eb6e503746142d0089899fa1252e25a4a5d0d96530e8994cd0e1b52f5c38c","last_reissued_at":"2026-07-04T15:27:04.567192Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:27:04.567192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0803.4325","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":"2026-07-04T15:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GFeTD8gpDje8lqyGQWL0+nnNukLX/5w6XRYs//4Qys1tIk5JGdGJAd4dfDV9t8YW+OcAvaXvGHimWeQNH3+7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:53:20.677179Z"},"content_sha256":"b864da803727e9a1fe3d9dc0bd374faeca6d6fbc2c269b0aeb74c9c722ed4ce1","schema_version":"1.0","event_id":"sha256:b864da803727e9a1fe3d9dc0bd374faeca6d6fbc2c269b0aeb74c9c722ed4ce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:54PLNZIDORQUFUAITCM7UESS4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Castellani, Marija Dimitrijevic, Paolo Aschieri","submitted_at":"2008-03-30T16:32:56Z","abstract_excerpt":"A \\star-product is defined via a set of commuting vector fields X_a = e_a^\\mu (x) \\partial_\\mu, and used in a phi^*4 theory coupled to the e_a^\\mu (x) fields. The \\star-product is dynamical, and the vacuum solution phi =0, e_a^\\mu (x)=delta_a^\\mu reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.4325","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/0803.4325/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":"2026-07-04T15:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ghGUuI034RbDpVbFtUyrG07mTQsWzSeGrrdLiyCP3itRCRz8V2Xk88a4cuvpuX9LPFlJ+Y8VSSjYLRd6o1MAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:53:20.677768Z"},"content_sha256":"6bb518544ff4d5b202707e4655088c8ad6f1f733c8c65578abe7974a23be107f","schema_version":"1.0","event_id":"sha256:6bb518544ff4d5b202707e4655088c8ad6f1f733c8c65578abe7974a23be107f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/54PLNZIDORQUFUAITCM7UESS4J/bundle.json","state_url":"https://pith.science/pith/54PLNZIDORQUFUAITCM7UESS4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/54PLNZIDORQUFUAITCM7UESS4J/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":"2026-08-04T03:53:20Z","links":{"resolver":"https://pith.science/pith/54PLNZIDORQUFUAITCM7UESS4J","bundle":"https://pith.science/pith/54PLNZIDORQUFUAITCM7UESS4J/bundle.json","state":"https://pith.science/pith/54PLNZIDORQUFUAITCM7UESS4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/54PLNZIDORQUFUAITCM7UESS4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:54PLNZIDORQUFUAITCM7UESS4J","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":"6f9b1e801f3128a53dc44eb8e50a09cdeb70cbc4b7659ab41a103a72c47b956b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-30T16:32:56Z","title_canon_sha256":"f0f873152215505be322f4425c9f4052ab1dfc5cf09e32205f24ccae01e5a339"},"schema_version":"1.0","source":{"id":"0803.4325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.4325","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"0803.4325v2","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.4325","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"54PLNZIDORQU","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"54PLNZIDORQUFUAI","created_at":"2026-07-04T15:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"54PLNZID","created_at":"2026-07-04T15:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:6bb518544ff4d5b202707e4655088c8ad6f1f733c8c65578abe7974a23be107f","target":"graph","created_at":"2026-07-04T15:27:04Z","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/0803.4325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A \\star-product is defined via a set of commuting vector fields X_a = e_a^\\mu (x) \\partial_\\mu, and used in a phi^*4 theory coupled to the e_a^\\mu (x) fields. The \\star-product is dynamical, and the vacuum solution phi =0, e_a^\\mu (x)=delta_a^\\mu reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived.","authors_text":"Leonardo Castellani, Marija Dimitrijevic, Paolo Aschieri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-30T16:32:56Z","title":"Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.4325","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:b864da803727e9a1fe3d9dc0bd374faeca6d6fbc2c269b0aeb74c9c722ed4ce1","target":"record","created_at":"2026-07-04T15:27:04Z","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":"6f9b1e801f3128a53dc44eb8e50a09cdeb70cbc4b7659ab41a103a72c47b956b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-30T16:32:56Z","title_canon_sha256":"f0f873152215505be322f4425c9f4052ab1dfc5cf09e32205f24ccae01e5a339"},"schema_version":"1.0","source":{"id":"0803.4325","kind":"arxiv","version":2}},"canonical_sha256":"ef1eb6e503746142d0089899fa1252e25a4a5d0d96530e8994cd0e1b52f5c38c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef1eb6e503746142d0089899fa1252e25a4a5d0d96530e8994cd0e1b52f5c38c","first_computed_at":"2026-07-04T15:27:04.567192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:27:04.567192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4tneGfVTYI/giFa8rQX1k2wIYx+1+1yWOn1XcPzQ3L72YBpcqBVbmM7WX+PoDWP1/fIezeSiJ4b3Iaw1zlvPAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:27:04.567631Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.4325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b864da803727e9a1fe3d9dc0bd374faeca6d6fbc2c269b0aeb74c9c722ed4ce1","sha256:6bb518544ff4d5b202707e4655088c8ad6f1f733c8c65578abe7974a23be107f"],"state_sha256":"c47e2d42d78a7b72fdabfa08270595addc6213333906700d521f1df854fca6a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0pLIEsSdbyEdsohH9I9ESP5HAHxO1fDmzlUxVyjyH0voxSCkgHdJ9MYoB3LOUX82Kr1ueLHKqJhJOR/aSvoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T03:53:20.683156Z","bundle_sha256":"38edf3b7b8e61d4e0bac4a6b338d73c9040270df343ab691ad5759e65f281eb4"}}