{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5YGCYTU2TIV5Z3CGXFN5AWO7GI","short_pith_number":"pith:5YGCYTU2","canonical_record":{"source":{"id":"1601.01287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-06T19:41:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"557740de0282f5da959671bb136cd320f049c282c178afaad14d5de80611c45a","abstract_canon_sha256":"ad3ef4decd66892a23ef7067134332b2dde752c118b876220b6ad260e2a33112"},"schema_version":"1.0"},"canonical_sha256":"ee0c2c4e9a9a2bdcec46b95bd059df323a4997e07af4e710b1b1c4ebc5bee5f2","source":{"kind":"arxiv","id":"1601.01287","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01287","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01287v1","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01287","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"5YGCYTU2TIV5","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5YGCYTU2TIV5Z3CG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5YGCYTU2","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5YGCYTU2TIV5Z3CGXFN5AWO7GI","target":"record","payload":{"canonical_record":{"source":{"id":"1601.01287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-06T19:41:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"557740de0282f5da959671bb136cd320f049c282c178afaad14d5de80611c45a","abstract_canon_sha256":"ad3ef4decd66892a23ef7067134332b2dde752c118b876220b6ad260e2a33112"},"schema_version":"1.0"},"canonical_sha256":"ee0c2c4e9a9a2bdcec46b95bd059df323a4997e07af4e710b1b1c4ebc5bee5f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:14.863692Z","signature_b64":"0Tt25aFOoikUx48bdRVsoYCByR+gY/uwGm5edHkzkpLyHFEZfkUr75CJ5yA1ChkLtyZXB2dmS6gr7PyrUYkICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee0c2c4e9a9a2bdcec46b95bd059df323a4997e07af4e710b1b1c4ebc5bee5f2","last_reissued_at":"2026-05-18T01:16:14.862958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:14.862958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.01287","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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pItIHxqitC4NpxFZZIaH11imUVSjYcjw+g5qXOZ0eI/D/gLCdpKtQFtQ/NkpuvIyhIXI0/5F/0QFMTD3g4DVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:37:27.682548Z"},"content_sha256":"8b2a4e5211f66f85e0fcc4235930ca1e6b4cbe453efbf4fce7802277146f8b04","schema_version":"1.0","event_id":"sha256:8b2a4e5211f66f85e0fcc4235930ca1e6b4cbe453efbf4fce7802277146f8b04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5YGCYTU2TIV5Z3CGXFN5AWO7GI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On p-form theories with gauge invariant second order field equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"C\\'edric Deffayet, Shinji Mukohyama, Vishagan Sivanesan","submitted_at":"2016-01-06T19:41:13Z","abstract_excerpt":"We explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon models for scalars. Our classification scheme allows to compute an upper bound on the number of different such theories depending on p and on the space-time dimension. We are also able to build a non trivial Galileon like theory for a 3-form with gauge invariance and an action which is polynomial into the derivatives of the form. This theory has gauge invar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01287","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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yy5EiuHlmFGAaldHk3cDk3OboQu3dQNsv59QhIriPjHYeVRNcYArfW3p9p4AqtAG11SFkWZpHg5DCGTyaSQ/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:37:27.682899Z"},"content_sha256":"183c6ee18218621b59fd7567af47d337dabc16bc5eb8768a3dcf0347cd0d21c0","schema_version":"1.0","event_id":"sha256:183c6ee18218621b59fd7567af47d337dabc16bc5eb8768a3dcf0347cd0d21c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/bundle.json","state_url":"https://pith.science/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/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":"2026-05-31T03:37:27Z","links":{"resolver":"https://pith.science/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI","bundle":"https://pith.science/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/bundle.json","state":"https://pith.science/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YGCYTU2TIV5Z3CGXFN5AWO7GI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5YGCYTU2TIV5Z3CGXFN5AWO7GI","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":"ad3ef4decd66892a23ef7067134332b2dde752c118b876220b6ad260e2a33112","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-06T19:41:13Z","title_canon_sha256":"557740de0282f5da959671bb136cd320f049c282c178afaad14d5de80611c45a"},"schema_version":"1.0","source":{"id":"1601.01287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01287","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01287v1","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01287","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"5YGCYTU2TIV5","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5YGCYTU2TIV5Z3CG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5YGCYTU2","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:183c6ee18218621b59fd7567af47d337dabc16bc5eb8768a3dcf0347cd0d21c0","target":"graph","created_at":"2026-05-18T01:16:14Z","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 explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon models for scalars. Our classification scheme allows to compute an upper bound on the number of different such theories depending on p and on the space-time dimension. We are also able to build a non trivial Galileon like theory for a 3-form with gauge invariance and an action which is polynomial into the derivatives of the form. This theory has gauge invar","authors_text":"C\\'edric Deffayet, Shinji Mukohyama, Vishagan Sivanesan","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-06T19:41:13Z","title":"On p-form theories with gauge invariant second order field equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01287","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":"sha256:8b2a4e5211f66f85e0fcc4235930ca1e6b4cbe453efbf4fce7802277146f8b04","target":"record","created_at":"2026-05-18T01:16:14Z","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":"ad3ef4decd66892a23ef7067134332b2dde752c118b876220b6ad260e2a33112","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-06T19:41:13Z","title_canon_sha256":"557740de0282f5da959671bb136cd320f049c282c178afaad14d5de80611c45a"},"schema_version":"1.0","source":{"id":"1601.01287","kind":"arxiv","version":1}},"canonical_sha256":"ee0c2c4e9a9a2bdcec46b95bd059df323a4997e07af4e710b1b1c4ebc5bee5f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee0c2c4e9a9a2bdcec46b95bd059df323a4997e07af4e710b1b1c4ebc5bee5f2","first_computed_at":"2026-05-18T01:16:14.862958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:14.862958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Tt25aFOoikUx48bdRVsoYCByR+gY/uwGm5edHkzkpLyHFEZfkUr75CJ5yA1ChkLtyZXB2dmS6gr7PyrUYkICA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:14.863692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2a4e5211f66f85e0fcc4235930ca1e6b4cbe453efbf4fce7802277146f8b04","sha256:183c6ee18218621b59fd7567af47d337dabc16bc5eb8768a3dcf0347cd0d21c0"],"state_sha256":"12a27fb34c4ad728c46d96b4fea62de664508df285fb010b76faf35f2822ecc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bEDCMEXhZlrqk9j61SIxYhYs7qjB9z5c5pyYMUBUc9o15M4FszrMk62cRQ6gYgcx1BB0V7oX7vp5xaLEzVjECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:37:27.684925Z","bundle_sha256":"49deae27e2d660c5b1c5089ecd61eeb63d8818aa00a4a93044f2823ebdaa6211"}}