{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:P6XA5MS6Q2F7HNII7GRREEWMPL","short_pith_number":"pith:P6XA5MS6","canonical_record":{"source":{"id":"1503.08343","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-28T20:10:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"67a2af43a06781b7b3389ba1fdde770428222ba728c29239cacfbad6df7471e6","abstract_canon_sha256":"2f5490b835be187e85aa8922894b17873085aa6ed5de0997657723893d13f09f"},"schema_version":"1.0"},"canonical_sha256":"7fae0eb25e868bf3b508f9a31212cc7ae5e6917524c70f69c944b0cfaa76dc65","source":{"kind":"arxiv","id":"1503.08343","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08343","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08343v2","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08343","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"P6XA5MS6Q2F7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P6XA5MS6Q2F7HNII","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P6XA5MS6","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:P6XA5MS6Q2F7HNII7GRREEWMPL","target":"record","payload":{"canonical_record":{"source":{"id":"1503.08343","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-28T20:10:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"67a2af43a06781b7b3389ba1fdde770428222ba728c29239cacfbad6df7471e6","abstract_canon_sha256":"2f5490b835be187e85aa8922894b17873085aa6ed5de0997657723893d13f09f"},"schema_version":"1.0"},"canonical_sha256":"7fae0eb25e868bf3b508f9a31212cc7ae5e6917524c70f69c944b0cfaa76dc65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:34.726984Z","signature_b64":"cSM+CeaVdOE/wzMXdLeXpGEO/owzIaKlHC89cB6QyWEyo0at+Gh+vAlqS+RahEejXemqUMHCXbmXNKoXmf2lBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fae0eb25e868bf3b508f9a31212cc7ae5e6917524c70f69c944b0cfaa76dc65","last_reissued_at":"2026-05-18T01:30:34.726210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:34.726210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.08343","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":"2026-05-18T01:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"irLydEVcnjQc6bUXd6TA87c1DGlbRJCMN81QBfVkLnd29Vr3lTblVcf4HNCm4DsNKR/T0H3Iw4SmL470TwkPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:14:33.603822Z"},"content_sha256":"da0cfe99e82f6b80f216b42ef53d1c4964c754a6730a87c7aa2df0fb51477df6","schema_version":"1.0","event_id":"sha256:da0cfe99e82f6b80f216b42ef53d1c4964c754a6730a87c7aa2df0fb51477df6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:P6XA5MS6Q2F7HNII7GRREEWMPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian formalism of Minimal Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Davood Mahdavian Yekta","submitted_at":"2015-03-28T20:10:02Z","abstract_excerpt":"We study the three-dimensional Minimal Massive Gravity (MMG) in the Hamiltonian formalism. Canonical expressions for the asymptotic conserved charges are derived by defining the canonical gauge generators. Specifically, the construction of asymptotic structure of MMG requires to introduce suitable boundary conditions. For instance, the application of this procedure is done for the BTZ black hole as a solution to the MMG field equations. The related conserved charges give the energy and angular momentum of the BTZ black hole. We also show that the Poisson bracket algebra of the improved canonic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08343","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":"2026-05-18T01:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SeXRFM8jBT7UbSsTzfhAB7UkbBAouVz8X1Nz6cxtTgd8DsoODKTHZgnMIFngjPTT724TQmSIvHCoA2GYoD77BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:14:33.604297Z"},"content_sha256":"22ad3d34f56d4ac2904c5309944ca5366693f405187441c3ac54e00ee0fceea1","schema_version":"1.0","event_id":"sha256:22ad3d34f56d4ac2904c5309944ca5366693f405187441c3ac54e00ee0fceea1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/bundle.json","state_url":"https://pith.science/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/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":"2026-08-07T11:14:33Z","links":{"resolver":"https://pith.science/pith/P6XA5MS6Q2F7HNII7GRREEWMPL","bundle":"https://pith.science/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/bundle.json","state":"https://pith.science/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6XA5MS6Q2F7HNII7GRREEWMPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P6XA5MS6Q2F7HNII7GRREEWMPL","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":"2f5490b835be187e85aa8922894b17873085aa6ed5de0997657723893d13f09f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-28T20:10:02Z","title_canon_sha256":"67a2af43a06781b7b3389ba1fdde770428222ba728c29239cacfbad6df7471e6"},"schema_version":"1.0","source":{"id":"1503.08343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08343","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08343v2","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08343","created_at":"2026-05-18T01:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"P6XA5MS6Q2F7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P6XA5MS6Q2F7HNII","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P6XA5MS6","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:22ad3d34f56d4ac2904c5309944ca5366693f405187441c3ac54e00ee0fceea1","target":"graph","created_at":"2026-05-18T01:30:34Z","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 study the three-dimensional Minimal Massive Gravity (MMG) in the Hamiltonian formalism. Canonical expressions for the asymptotic conserved charges are derived by defining the canonical gauge generators. Specifically, the construction of asymptotic structure of MMG requires to introduce suitable boundary conditions. For instance, the application of this procedure is done for the BTZ black hole as a solution to the MMG field equations. The related conserved charges give the energy and angular momentum of the BTZ black hole. We also show that the Poisson bracket algebra of the improved canonic","authors_text":"Davood Mahdavian Yekta","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-28T20:10:02Z","title":"Hamiltonian formalism of Minimal Massive Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08343","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:da0cfe99e82f6b80f216b42ef53d1c4964c754a6730a87c7aa2df0fb51477df6","target":"record","created_at":"2026-05-18T01:30:34Z","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":"2f5490b835be187e85aa8922894b17873085aa6ed5de0997657723893d13f09f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-28T20:10:02Z","title_canon_sha256":"67a2af43a06781b7b3389ba1fdde770428222ba728c29239cacfbad6df7471e6"},"schema_version":"1.0","source":{"id":"1503.08343","kind":"arxiv","version":2}},"canonical_sha256":"7fae0eb25e868bf3b508f9a31212cc7ae5e6917524c70f69c944b0cfaa76dc65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fae0eb25e868bf3b508f9a31212cc7ae5e6917524c70f69c944b0cfaa76dc65","first_computed_at":"2026-05-18T01:30:34.726210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:34.726210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cSM+CeaVdOE/wzMXdLeXpGEO/owzIaKlHC89cB6QyWEyo0at+Gh+vAlqS+RahEejXemqUMHCXbmXNKoXmf2lBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:34.726984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.08343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da0cfe99e82f6b80f216b42ef53d1c4964c754a6730a87c7aa2df0fb51477df6","sha256:22ad3d34f56d4ac2904c5309944ca5366693f405187441c3ac54e00ee0fceea1"],"state_sha256":"539473e52669236c85b1c2e9c264b678377b75b246cda3d04dc9f3e4e4fd3e6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpvZltBXQ5ErcONkHeOhvuu5F64BkRsIYcpoZI8tQy4j2zVzqDTiMDSY5gDMTxWgPnm7EU1NRNxxxH6fMhdaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T11:14:33.609366Z","bundle_sha256":"34b894cf4d7e414fe8ca66ca4269f96677c65cfcbbbec248c2e1d89ef1647f39"}}