{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6GVBKZ4BJXWMMYFYK34UWKPBEU","short_pith_number":"pith:6GVBKZ4B","canonical_record":{"source":{"id":"1101.2425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-12T19:00:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2fd7ff86eaf4b255097a1e24a31c60e3dc9712e55f9b08b22fdfdbcd63077f45","abstract_canon_sha256":"510efa7ed809b1cff8c267395390e5c96a18f582b5a7e863111f52d4edfee9b6"},"schema_version":"1.0"},"canonical_sha256":"f1aa1567814decc660b856f94b29e12538974177e0ef0f5152f273569642c74c","source":{"kind":"arxiv","id":"1101.2425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2425","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2425v1","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2425","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"6GVBKZ4BJXWM","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6GVBKZ4BJXWMMYFY","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6GVBKZ4B","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6GVBKZ4BJXWMMYFYK34UWKPBEU","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-12T19:00:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2fd7ff86eaf4b255097a1e24a31c60e3dc9712e55f9b08b22fdfdbcd63077f45","abstract_canon_sha256":"510efa7ed809b1cff8c267395390e5c96a18f582b5a7e863111f52d4edfee9b6"},"schema_version":"1.0"},"canonical_sha256":"f1aa1567814decc660b856f94b29e12538974177e0ef0f5152f273569642c74c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:31.954351Z","signature_b64":"Q5biriBVeRVxDw/f5/5JeAPmjMEV4QXQQKIo0hMOajTCB07OJC1wsO4bl8xl/t/kYx6opmXRUhv3EeIneYwYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1aa1567814decc660b856f94b29e12538974177e0ef0f5152f273569642c74c","last_reissued_at":"2026-05-18T04:31:31.953814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:31.953814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2425","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":"2026-05-18T04:31:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kXJ88ZUUoaQBTOivyhxCOBgWOORKjH3uHS2Fq3hnCvZgIPn0zT3nYPD6bOBvXGibMHttTelXNe2BhSMksJGdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:42:11.569946Z"},"content_sha256":"32d58fe8fb9d13881370f7061471c60094d11bc0a57041cfccce3010df69a23a","schema_version":"1.0","event_id":"sha256:32d58fe8fb9d13881370f7061471c60094d11bc0a57041cfccce3010df69a23a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6GVBKZ4BJXWMMYFYK34UWKPBEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian formulation of unimodular gravity in the teleparallel geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"J. F. da Rocha-Neto, J. W. Maluf, S. C. Ulhoa","submitted_at":"2011-01-12T19:00:12Z","abstract_excerpt":"In the context of the teleparallel equivalent of general relativity we establish the Hamiltonian formulation of the unimodular theory of gravity. Here we do not carry out the usual $3+1$ decomposition of the field quantities in terms of the lapse and shift functions, as in the ADM formalism. The corresponding Lagrange multiplier is the timelike component of the tetrad field. The dynamics is determined by the Hamiltonian constraint ${\\cal H}'_0$ and a set of primary constraints. The constraints are first class and satisfy an algebra that is similar to the algebra of the Poincar\\'e group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2425","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":"2026-05-18T04:31:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gaMSsgr31DgvmZBGP0mA0sawsv8LIWmCIXP4p5lZe54qSf+ezCjDcRLuBDQ634BJ5sfKk+pHGH76uIGmrL6dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:42:11.570292Z"},"content_sha256":"bbbe740a32676dae995d514f9b49c03b4f0ef89286910125f2d21c9d6e177e60","schema_version":"1.0","event_id":"sha256:bbbe740a32676dae995d514f9b49c03b4f0ef89286910125f2d21c9d6e177e60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/bundle.json","state_url":"https://pith.science/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/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":"2026-06-03T18:42:11Z","links":{"resolver":"https://pith.science/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU","bundle":"https://pith.science/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/bundle.json","state":"https://pith.science/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6GVBKZ4BJXWMMYFYK34UWKPBEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6GVBKZ4BJXWMMYFYK34UWKPBEU","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":"510efa7ed809b1cff8c267395390e5c96a18f582b5a7e863111f52d4edfee9b6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-12T19:00:12Z","title_canon_sha256":"2fd7ff86eaf4b255097a1e24a31c60e3dc9712e55f9b08b22fdfdbcd63077f45"},"schema_version":"1.0","source":{"id":"1101.2425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2425","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2425v1","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2425","created_at":"2026-05-18T04:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"6GVBKZ4BJXWM","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6GVBKZ4BJXWMMYFY","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6GVBKZ4B","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:bbbe740a32676dae995d514f9b49c03b4f0ef89286910125f2d21c9d6e177e60","target":"graph","created_at":"2026-05-18T04:31:31Z","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":"In the context of the teleparallel equivalent of general relativity we establish the Hamiltonian formulation of the unimodular theory of gravity. Here we do not carry out the usual $3+1$ decomposition of the field quantities in terms of the lapse and shift functions, as in the ADM formalism. The corresponding Lagrange multiplier is the timelike component of the tetrad field. The dynamics is determined by the Hamiltonian constraint ${\\cal H}'_0$ and a set of primary constraints. The constraints are first class and satisfy an algebra that is similar to the algebra of the Poincar\\'e group.","authors_text":"J. F. da Rocha-Neto, J. W. Maluf, S. C. Ulhoa","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-12T19:00:12Z","title":"Hamiltonian formulation of unimodular gravity in the teleparallel geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2425","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":"sha256:32d58fe8fb9d13881370f7061471c60094d11bc0a57041cfccce3010df69a23a","target":"record","created_at":"2026-05-18T04:31:31Z","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":"510efa7ed809b1cff8c267395390e5c96a18f582b5a7e863111f52d4edfee9b6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-12T19:00:12Z","title_canon_sha256":"2fd7ff86eaf4b255097a1e24a31c60e3dc9712e55f9b08b22fdfdbcd63077f45"},"schema_version":"1.0","source":{"id":"1101.2425","kind":"arxiv","version":1}},"canonical_sha256":"f1aa1567814decc660b856f94b29e12538974177e0ef0f5152f273569642c74c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1aa1567814decc660b856f94b29e12538974177e0ef0f5152f273569642c74c","first_computed_at":"2026-05-18T04:31:31.953814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:31.953814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q5biriBVeRVxDw/f5/5JeAPmjMEV4QXQQKIo0hMOajTCB07OJC1wsO4bl8xl/t/kYx6opmXRUhv3EeIneYwYCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:31.954351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32d58fe8fb9d13881370f7061471c60094d11bc0a57041cfccce3010df69a23a","sha256:bbbe740a32676dae995d514f9b49c03b4f0ef89286910125f2d21c9d6e177e60"],"state_sha256":"4bb0ea9079ed90f452a6ffa1902ff9d526f3ff0a95fbefd2a31f1e7df180727c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SUoyQOXidkFVxFnNqhxEtztQeeFkV/N7Nkp108Ahl4lmK9Dlpbc615CsULi92rnbei4tfiMwNAIl56V4FRKSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:42:11.572223Z","bundle_sha256":"77ff667200c6396ca4eef7bee3085f0a318b12f6b756f7d0a175cc2a5783710e"}}