{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DSQB7DK2WV7WN2R3JM6Z33LHPI","short_pith_number":"pith:DSQB7DK2","canonical_record":{"source":{"id":"1512.04008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-13T06:04:26Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"7c98013db899dee855c008301efa297c4ce4ad4aa9f28bfaf6ffd1b1beaa12d2","abstract_canon_sha256":"7f4dff17f0531598709cb5d44291f92091da517d133072a63634076d62c5bd7b"},"schema_version":"1.0"},"canonical_sha256":"1ca01f8d5ab57f66ea3b4b3d9ded677a3a1a3715b61715d66d46a7ae97a8d632","source":{"kind":"arxiv","id":"1512.04008","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04008","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04008v2","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04008","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"DSQB7DK2WV7W","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DSQB7DK2WV7WN2R3","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DSQB7DK2","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DSQB7DK2WV7WN2R3JM6Z33LHPI","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-13T06:04:26Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"7c98013db899dee855c008301efa297c4ce4ad4aa9f28bfaf6ffd1b1beaa12d2","abstract_canon_sha256":"7f4dff17f0531598709cb5d44291f92091da517d133072a63634076d62c5bd7b"},"schema_version":"1.0"},"canonical_sha256":"1ca01f8d5ab57f66ea3b4b3d9ded677a3a1a3715b61715d66d46a7ae97a8d632","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:48.033127Z","signature_b64":"XhXMnOduRszAlYkd1T7G0hDfkUKL1wQOkYcj9sPgpy+lXzEcqpwJiYOMv3q3n33y2lFC/5iW2eckAJyRPhg4Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ca01f8d5ab57f66ea3b4b3d9ded677a3a1a3715b61715d66d46a7ae97a8d632","last_reissued_at":"2026-05-18T00:39:48.032477Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:48.032477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04008","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":"2026-05-18T00:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a00935Ruults96Vs/Xi+Vvn7hsK1JT0hZDI3RzpVrzW/5QqahIE452wCDeP9qxB14Vx+kl9TIZ3H+lLWoFS6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T22:58:00.366042Z"},"content_sha256":"951279eb87570ac6b4fc6830b99f06e9cd930d8875fc434f90ed2f8e03b177d2","schema_version":"1.0","event_id":"sha256:951279eb87570ac6b4fc6830b99f06e9cd930d8875fc434f90ed2f8e03b177d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DSQB7DK2WV7WN2R3JM6Z33LHPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phenomenology in minimal theory of massive gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Antonio De Felice, Shinji Mukohyama","submitted_at":"2015-12-13T06:04:26Z","abstract_excerpt":"We investigate the minimal theory of massive gravity (MTMG) recently introduced. After reviewing the original construction based on its Hamiltonian in the vielbein formalism, we reformulate it in terms of its Lagrangian in both the vielbein and the metric formalisms. It then becomes obvious that, unlike previous attempts in the literature of Lorentz-violating massive gravity, not only the potential but also the kinetic structure of the action is modified from the de Rham-Gabadadze-Tolley (dRGT) massive gravity theory. We confirm that the number of physical degrees of freedom in MTMG is two at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04008","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":"2026-05-18T00:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h28P9wlwaFtLL5K+TizdHHLJml2A7+gzkiEkksD+hbfOqOs3Cpg8GoHP4dSCWKNkcVH4tNTyFg4paaOPCb2gCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T22:58:00.366566Z"},"content_sha256":"e6e5300cee7da91bfb34eed2bb54ef934f3bc39da8df8291d549ba72c394cdc5","schema_version":"1.0","event_id":"sha256:e6e5300cee7da91bfb34eed2bb54ef934f3bc39da8df8291d549ba72c394cdc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/bundle.json","state_url":"https://pith.science/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/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":"2026-05-22T22:58:00Z","links":{"resolver":"https://pith.science/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI","bundle":"https://pith.science/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/bundle.json","state":"https://pith.science/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DSQB7DK2WV7WN2R3JM6Z33LHPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DSQB7DK2WV7WN2R3JM6Z33LHPI","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":"7f4dff17f0531598709cb5d44291f92091da517d133072a63634076d62c5bd7b","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-13T06:04:26Z","title_canon_sha256":"7c98013db899dee855c008301efa297c4ce4ad4aa9f28bfaf6ffd1b1beaa12d2"},"schema_version":"1.0","source":{"id":"1512.04008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04008","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04008v2","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04008","created_at":"2026-05-18T00:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"DSQB7DK2WV7W","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DSQB7DK2WV7WN2R3","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DSQB7DK2","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:e6e5300cee7da91bfb34eed2bb54ef934f3bc39da8df8291d549ba72c394cdc5","target":"graph","created_at":"2026-05-18T00:39:48Z","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 investigate the minimal theory of massive gravity (MTMG) recently introduced. After reviewing the original construction based on its Hamiltonian in the vielbein formalism, we reformulate it in terms of its Lagrangian in both the vielbein and the metric formalisms. It then becomes obvious that, unlike previous attempts in the literature of Lorentz-violating massive gravity, not only the potential but also the kinetic structure of the action is modified from the de Rham-Gabadadze-Tolley (dRGT) massive gravity theory. We confirm that the number of physical degrees of freedom in MTMG is two at ","authors_text":"Antonio De Felice, Shinji Mukohyama","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-13T06:04:26Z","title":"Phenomenology in minimal theory of massive gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04008","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":"sha256:951279eb87570ac6b4fc6830b99f06e9cd930d8875fc434f90ed2f8e03b177d2","target":"record","created_at":"2026-05-18T00:39:48Z","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":"7f4dff17f0531598709cb5d44291f92091da517d133072a63634076d62c5bd7b","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-13T06:04:26Z","title_canon_sha256":"7c98013db899dee855c008301efa297c4ce4ad4aa9f28bfaf6ffd1b1beaa12d2"},"schema_version":"1.0","source":{"id":"1512.04008","kind":"arxiv","version":2}},"canonical_sha256":"1ca01f8d5ab57f66ea3b4b3d9ded677a3a1a3715b61715d66d46a7ae97a8d632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ca01f8d5ab57f66ea3b4b3d9ded677a3a1a3715b61715d66d46a7ae97a8d632","first_computed_at":"2026-05-18T00:39:48.032477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:48.032477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XhXMnOduRszAlYkd1T7G0hDfkUKL1wQOkYcj9sPgpy+lXzEcqpwJiYOMv3q3n33y2lFC/5iW2eckAJyRPhg4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:48.033127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:951279eb87570ac6b4fc6830b99f06e9cd930d8875fc434f90ed2f8e03b177d2","sha256:e6e5300cee7da91bfb34eed2bb54ef934f3bc39da8df8291d549ba72c394cdc5"],"state_sha256":"3f4f85155fc2b4657d3c8e664a22eaf830d08258d1d5cbaeb9e58d6a81a0055e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8A1wSaxPF62wbjT7iP4isLU8wj2SUnUNf9Ad5M1gT1MuD5t+M3EXp1gcHmHJkd6+wkwdIhBKUuPvsXtBKrZuAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T22:58:00.369650Z","bundle_sha256":"aeff6696b068191457d9d09c7ec90b44f3b955a35bdb87aea26021b051b8fc02"}}