{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:AZ2MON2WZWI7ZJSNWDWZXLBHDQ","short_pith_number":"pith:AZ2MON2W","schema_version":"1.0","canonical_sha256":"0674c73756cd91fca64db0ed9bac271c37905b42f7336551ac9e5b62f8bb6216","source":{"kind":"arxiv","id":"2005.12004","version":1},"attestation_state":"computed","paper":{"title":"Hopf link volume simplicity constraints in spin foam models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Benjamin Bahr, Mehdi Assanioussi","submitted_at":"2020-05-25T09:38:06Z","abstract_excerpt":"In this article we consider specific bivector geometries which arise in the large-spin limit of the extension of the Engle-Pereira-Rovelli-Livine spin foam model for quantum gravity by Kaminski, Kisielowski and Lewandowski. We address the implementation of volume simplicity constraints, which are required to ensure that a $4d$ metric can be reconstructed from the bivector geometry. We find that the necessary conditions are closely related, but not quite equal to the Hopf link volume simplicity constraints introduced in earlier works. We estimate the number of independent geometricity condition"},"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":"2005.12004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-25T09:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"e1a3b1c98aa51800d53fe7e6b62f4aac5f11acec08abec8aab47259135f2c77f","abstract_canon_sha256":"5f6c7a42da5e0cb528d86119faffcd8f6ccc2c57afa2bc01a769f8b25d609d3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:54.457337Z","signature_b64":"Xa7U2FnHkiXS3H5kLQA2DB7v7Q6bjwTj52rMiU6HRcW7xQJy1RG8cCdOWOpP7Z5JDpHUd2dcl5kj1uHD7r4gAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0674c73756cd91fca64db0ed9bac271c37905b42f7336551ac9e5b62f8bb6216","last_reissued_at":"2026-07-05T01:46:54.456927Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:54.456927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hopf link volume simplicity constraints in spin foam models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Benjamin Bahr, Mehdi Assanioussi","submitted_at":"2020-05-25T09:38:06Z","abstract_excerpt":"In this article we consider specific bivector geometries which arise in the large-spin limit of the extension of the Engle-Pereira-Rovelli-Livine spin foam model for quantum gravity by Kaminski, Kisielowski and Lewandowski. We address the implementation of volume simplicity constraints, which are required to ensure that a $4d$ metric can be reconstructed from the bivector geometry. We find that the necessary conditions are closely related, but not quite equal to the Hopf link volume simplicity constraints introduced in earlier works. We estimate the number of independent geometricity condition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.12004","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.12004/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2005.12004","created_at":"2026-07-05T01:46:54.456988+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.12004v1","created_at":"2026-07-05T01:46:54.456988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.12004","created_at":"2026-07-05T01:46:54.456988+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZ2MON2WZWI7","created_at":"2026-07-05T01:46:54.456988+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZ2MON2WZWI7ZJSN","created_at":"2026-07-05T01:46:54.456988+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZ2MON2W","created_at":"2026-07-05T01:46:54.456988+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.08109","citing_title":"(2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ","json":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ.json","graph_json":"https://pith.science/api/pith-number/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/graph.json","events_json":"https://pith.science/api/pith-number/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/events.json","paper":"https://pith.science/paper/AZ2MON2W"},"agent_actions":{"view_html":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ","download_json":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ.json","view_paper":"https://pith.science/paper/AZ2MON2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.12004&json=true","fetch_graph":"https://pith.science/api/pith-number/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/action/storage_attestation","attest_author":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/action/author_attestation","sign_citation":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/action/citation_signature","submit_replication":"https://pith.science/pith/AZ2MON2WZWI7ZJSNWDWZXLBHDQ/action/replication_record"}},"created_at":"2026-07-05T01:46:54.456988+00:00","updated_at":"2026-07-05T01:46:54.456988+00:00"}