{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:S4AWRPUVNY7H7YJFGRHGAZK5V2","short_pith_number":"pith:S4AWRPUV","schema_version":"1.0","canonical_sha256":"970168be956e3e7fe125344e60655dae9d102c6b90a16df8079cc4923a4ba1b8","source":{"kind":"arxiv","id":"1605.04946","version":2},"attestation_state":"computed","paper":{"title":"Typicality in spin network states of quantum geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Fabio Anz\\`a, Goffredo Chirco","submitted_at":"2016-05-16T20:50:26Z","abstract_excerpt":"In this work, we extend the so-called typicality approach, originally formulated in statistical mechanics contexts, to $SU(2)$-invariant spin-network states. Our results do not depend on the physical interpretation of the spin network; however, they are mainly motivated by the fact that spin-network states can describe states of quantum geometry, providing a gauge-invariant basis for the kinematical Hilbert space of several background-independent approaches to quantum gravity. The first result is, by itself, the existence of a regime in which we show the emergence of a typical state. We interp"},"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":"1605.04946","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-16T20:50:26Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"690e0ec7c0fe67c84d275a95f57fcdf46eadb41e8c1171c78c817dfd648e156d","abstract_canon_sha256":"13a8972f025c7a15af5cc769ce1b10ef8ba56243b78e8e05664ef396d290ba70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:45.573470Z","signature_b64":"zU/xdvDOkUVPig8DyyQsFRgTSWmjC42Bym1eDmuG+eV5/U6LGcAcEbELmvaEEsuaVNx5FqpckOVGoW50uuUwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"970168be956e3e7fe125344e60655dae9d102c6b90a16df8079cc4923a4ba1b8","last_reissued_at":"2026-05-18T01:00:45.573099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:45.573099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Typicality in spin network states of quantum geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Fabio Anz\\`a, Goffredo Chirco","submitted_at":"2016-05-16T20:50:26Z","abstract_excerpt":"In this work, we extend the so-called typicality approach, originally formulated in statistical mechanics contexts, to $SU(2)$-invariant spin-network states. Our results do not depend on the physical interpretation of the spin network; however, they are mainly motivated by the fact that spin-network states can describe states of quantum geometry, providing a gauge-invariant basis for the kinematical Hilbert space of several background-independent approaches to quantum gravity. The first result is, by itself, the existence of a regime in which we show the emergence of a typical state. We interp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04946","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.04946","created_at":"2026-05-18T01:00:45.573155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.04946v2","created_at":"2026-05-18T01:00:45.573155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04946","created_at":"2026-05-18T01:00:45.573155+00:00"},{"alias_kind":"pith_short_12","alias_value":"S4AWRPUVNY7H","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"S4AWRPUVNY7H7YJF","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"S4AWRPUV","created_at":"2026-05-18T12:30:41.710351+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/S4AWRPUVNY7H7YJFGRHGAZK5V2","json":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2.json","graph_json":"https://pith.science/api/pith-number/S4AWRPUVNY7H7YJFGRHGAZK5V2/graph.json","events_json":"https://pith.science/api/pith-number/S4AWRPUVNY7H7YJFGRHGAZK5V2/events.json","paper":"https://pith.science/paper/S4AWRPUV"},"agent_actions":{"view_html":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2","download_json":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2.json","view_paper":"https://pith.science/paper/S4AWRPUV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.04946&json=true","fetch_graph":"https://pith.science/api/pith-number/S4AWRPUVNY7H7YJFGRHGAZK5V2/graph.json","fetch_events":"https://pith.science/api/pith-number/S4AWRPUVNY7H7YJFGRHGAZK5V2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2/action/storage_attestation","attest_author":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2/action/author_attestation","sign_citation":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2/action/citation_signature","submit_replication":"https://pith.science/pith/S4AWRPUVNY7H7YJFGRHGAZK5V2/action/replication_record"}},"created_at":"2026-05-18T01:00:45.573155+00:00","updated_at":"2026-05-18T01:00:45.573155+00:00"}