{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7DHKK4DTIADAOXCY6CM3MPBLNA","short_pith_number":"pith:7DHKK4DT","canonical_record":{"source":{"id":"1105.4364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-22T19:17:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"00630c438a962706ce48c77558f535bb82e3c5f67972414312e1886a2f22a0e9","abstract_canon_sha256":"d8b6a025cc5b3d9a8843637aa17e40df95b4fde2ae8f47b4e87e26b8fc97f0a1"},"schema_version":"1.0"},"canonical_sha256":"f8cea570734006075c58f099b63c2b681c0f90923963c36e1eedaa8d79856372","source":{"kind":"arxiv","id":"1105.4364","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4364","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4364v2","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4364","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"7DHKK4DTIADA","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7DHKK4DTIADAOXCY","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7DHKK4DT","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7DHKK4DTIADAOXCY6CM3MPBLNA","target":"record","payload":{"canonical_record":{"source":{"id":"1105.4364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-22T19:17:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"00630c438a962706ce48c77558f535bb82e3c5f67972414312e1886a2f22a0e9","abstract_canon_sha256":"d8b6a025cc5b3d9a8843637aa17e40df95b4fde2ae8f47b4e87e26b8fc97f0a1"},"schema_version":"1.0"},"canonical_sha256":"f8cea570734006075c58f099b63c2b681c0f90923963c36e1eedaa8d79856372","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:55.646682Z","signature_b64":"tFWmQ6NE2ijuujmYn8RhcphS5gREmqMUfBx43UydCXwUnz5zlqv1XnPAshW/aVWO9DVTqdcpnw/k1pb1eOoUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8cea570734006075c58f099b63c2b681c0f90923963c36e1eedaa8d79856372","last_reissued_at":"2026-05-18T04:12:55.646151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:55.646151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.4364","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":"2026-05-18T04:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZinKkjV0/TiU/nN6uY460EhIELNNhwqxk3HKB+xumzxGdesA3w+8g4NB0Eo2jcKYA3Z7QTWlpcWYnbbAL8pBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:09:42.461149Z"},"content_sha256":"64436c53d06c66b764ebf01e76e88d49d27b1f566bb78bcefde1983b125647e8","schema_version":"1.0","event_id":"sha256:64436c53d06c66b764ebf01e76e88d49d27b1f566bb78bcefde1983b125647e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7DHKK4DTIADAOXCY6CM3MPBLNA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-1 duality in $D$-dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"D. Dalmazi, R.C. Santos","submitted_at":"2011-05-22T19:17:25Z","abstract_excerpt":"It is known that the Maxwell theory in $D$ dimensions can be written in a first order form (in derivatives) by introducing a totally antisymmetric field which leads to a $(D-3)$-form dual theory. Remarkably, one can replace the antisymmetric field by a symmetric rank two tensor ($W_{\\mu\\nu}=W_{\\nu\\mu}$). Such master action establishes the duality between the Maxwell-theory and a fourth order higher rank model in a $D$-dimensional flat space time. A naive generalization to the curved space shows a connection between the recently found D=4 critical gravity and the Maxwell theory plus a coupling "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4364","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":""},"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":"2026-05-18T04:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgVOAXdOWB2yw3GYLpaucZ4O1vQbjc+qgwKya4aNL/LzLGAP0VpcrNf+VarIv8i+BrSzavy9rTgmDYD6vUHjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:09:42.461611Z"},"content_sha256":"75b4197f44b886c21dbf9a411b3b9e2836b3da2a17b58b84ee09131c8d2ddde4","schema_version":"1.0","event_id":"sha256:75b4197f44b886c21dbf9a411b3b9e2836b3da2a17b58b84ee09131c8d2ddde4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/bundle.json","state_url":"https://pith.science/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/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":"2026-08-16T21:09:42Z","links":{"resolver":"https://pith.science/pith/7DHKK4DTIADAOXCY6CM3MPBLNA","bundle":"https://pith.science/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/bundle.json","state":"https://pith.science/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7DHKK4DTIADAOXCY6CM3MPBLNA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7DHKK4DTIADAOXCY6CM3MPBLNA","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":"d8b6a025cc5b3d9a8843637aa17e40df95b4fde2ae8f47b4e87e26b8fc97f0a1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-22T19:17:25Z","title_canon_sha256":"00630c438a962706ce48c77558f535bb82e3c5f67972414312e1886a2f22a0e9"},"schema_version":"1.0","source":{"id":"1105.4364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4364","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4364v2","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4364","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"7DHKK4DTIADA","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7DHKK4DTIADAOXCY","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7DHKK4DT","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:75b4197f44b886c21dbf9a411b3b9e2836b3da2a17b58b84ee09131c8d2ddde4","target":"graph","created_at":"2026-05-18T04:12:55Z","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":"It is known that the Maxwell theory in $D$ dimensions can be written in a first order form (in derivatives) by introducing a totally antisymmetric field which leads to a $(D-3)$-form dual theory. Remarkably, one can replace the antisymmetric field by a symmetric rank two tensor ($W_{\\mu\\nu}=W_{\\nu\\mu}$). Such master action establishes the duality between the Maxwell-theory and a fourth order higher rank model in a $D$-dimensional flat space time. A naive generalization to the curved space shows a connection between the recently found D=4 critical gravity and the Maxwell theory plus a coupling ","authors_text":"D. Dalmazi, R.C. Santos","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-22T19:17:25Z","title":"Spin-1 duality in $D$-dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4364","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":"sha256:64436c53d06c66b764ebf01e76e88d49d27b1f566bb78bcefde1983b125647e8","target":"record","created_at":"2026-05-18T04:12:55Z","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":"d8b6a025cc5b3d9a8843637aa17e40df95b4fde2ae8f47b4e87e26b8fc97f0a1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-22T19:17:25Z","title_canon_sha256":"00630c438a962706ce48c77558f535bb82e3c5f67972414312e1886a2f22a0e9"},"schema_version":"1.0","source":{"id":"1105.4364","kind":"arxiv","version":2}},"canonical_sha256":"f8cea570734006075c58f099b63c2b681c0f90923963c36e1eedaa8d79856372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8cea570734006075c58f099b63c2b681c0f90923963c36e1eedaa8d79856372","first_computed_at":"2026-05-18T04:12:55.646151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:55.646151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFWmQ6NE2ijuujmYn8RhcphS5gREmqMUfBx43UydCXwUnz5zlqv1XnPAshW/aVWO9DVTqdcpnw/k1pb1eOoUAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:55.646682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64436c53d06c66b764ebf01e76e88d49d27b1f566bb78bcefde1983b125647e8","sha256:75b4197f44b886c21dbf9a411b3b9e2836b3da2a17b58b84ee09131c8d2ddde4"],"state_sha256":"5455d6f966982854d17be42b4834114c70b362799434c3e08f9256cd004e0a62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MG7w5gHNzHBjH+PfiZ2OJ7cvGQqO2+WYeJz26BYCzEgnzN2oVYhMLF34dR5lwVYrpwg8b1zQiU0rE6Utb9XsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T21:09:42.465783Z","bundle_sha256":"cf6621b9fa61da23b6a4c28f5b9df84c07d6ab2a11e1be3a4b8e25a428215740"}}