{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:X4E7YUERBRDWIDBHCGIUTGMF4Y","short_pith_number":"pith:X4E7YUER","schema_version":"1.0","canonical_sha256":"bf09fc50910c47640c271191499985e61349a402a56a5ba58251c4a6cfbba4c6","source":{"kind":"arxiv","id":"1506.04872","version":1},"attestation_state":"computed","paper":{"title":"Constraint algebra of general relativity from a formal continuum limit of canonical tensor model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Naoki Sasakura, Yuki Sato","submitted_at":"2015-06-16T08:28:38Z","abstract_excerpt":"Canonical tensor model (CTM for short below) is a rank-three tensor model formulated as a totally constrained system in the canonical formalism. In the classical case, the constraints form a first-class constraint Poisson algebra with structures similar to that of the ADM formalism of general relativity, qualifying CTM as a possible discrete formalism for quantum gravity. In this paper, we show that, in a formal continuum limit, the constraint Poisson algebra of CTM with no cosmological constant exactly reproduces that of the ADM formalism. To this end, we obtain the expression of the metric t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.04872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-16T08:28:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bdfcee3195c018d6fb8937ab95f7ae3ad2f523a6cc879a778ddd954366dcaf14","abstract_canon_sha256":"be2460dba0429f8c4fe6c8e0568e0d973eac3287e46574212d0a6e1762c4590a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:05.658369Z","signature_b64":"2AoofybRPN+EvtDcY4lscVQNGC9LUZ8njFO6BMqSoO9yGGRmCr+gYzxo1CHs/8HXIXpFVlBzFNLXJkFcuF9zCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf09fc50910c47640c271191499985e61349a402a56a5ba58251c4a6cfbba4c6","last_reissued_at":"2026-05-18T01:48:05.657698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:05.657698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraint algebra of general relativity from a formal continuum limit of canonical tensor model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Naoki Sasakura, Yuki Sato","submitted_at":"2015-06-16T08:28:38Z","abstract_excerpt":"Canonical tensor model (CTM for short below) is a rank-three tensor model formulated as a totally constrained system in the canonical formalism. In the classical case, the constraints form a first-class constraint Poisson algebra with structures similar to that of the ADM formalism of general relativity, qualifying CTM as a possible discrete formalism for quantum gravity. In this paper, we show that, in a formal continuum limit, the constraint Poisson algebra of CTM with no cosmological constant exactly reproduces that of the ADM formalism. To this end, we obtain the expression of the metric t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04872","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.04872","created_at":"2026-05-18T01:48:05.657795+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.04872v1","created_at":"2026-05-18T01:48:05.657795+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04872","created_at":"2026-05-18T01:48:05.657795+00:00"},{"alias_kind":"pith_short_12","alias_value":"X4E7YUERBRDW","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"X4E7YUERBRDWIDBH","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"X4E7YUER","created_at":"2026-05-18T12:29:47.479230+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y","json":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y.json","graph_json":"https://pith.science/api/pith-number/X4E7YUERBRDWIDBHCGIUTGMF4Y/graph.json","events_json":"https://pith.science/api/pith-number/X4E7YUERBRDWIDBHCGIUTGMF4Y/events.json","paper":"https://pith.science/paper/X4E7YUER"},"agent_actions":{"view_html":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y","download_json":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y.json","view_paper":"https://pith.science/paper/X4E7YUER","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.04872&json=true","fetch_graph":"https://pith.science/api/pith-number/X4E7YUERBRDWIDBHCGIUTGMF4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/X4E7YUERBRDWIDBHCGIUTGMF4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y/action/storage_attestation","attest_author":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y/action/author_attestation","sign_citation":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y/action/citation_signature","submit_replication":"https://pith.science/pith/X4E7YUERBRDWIDBHCGIUTGMF4Y/action/replication_record"}},"created_at":"2026-05-18T01:48:05.657795+00:00","updated_at":"2026-05-18T01:48:05.657795+00:00"}