{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AOXZHQRPPU3L7FHOUNDYYXWD73","short_pith_number":"pith:AOXZHQRP","schema_version":"1.0","canonical_sha256":"03af93c22f7d36bf94eea3478c5ec3fecd1bcd642c2c2611d2178c42893234eb","source":{"kind":"arxiv","id":"1803.10289","version":3},"attestation_state":"computed","paper":{"title":"Emergence of Spacetime in a restricted Spin-foam model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Johannes Th\\\"urigen, Sebastian Steinhaus","submitted_at":"2018-03-27T19:49:48Z","abstract_excerpt":"The spectral dimension has proven to be a very informative observable to understand the properties of quantum geometries in approaches to quantum gravity. In loop quantum gravity and its spin foam description, it has not been possible so far to calculate the spectral dimension of spacetime. As a first step towards this goal, here we determine the spacetime spectral dimension in the simplified spin foam model restricted to hypercuboids. Using Monte Carlo methods we compute the spectral dimension for state sums over periodic spin foam configurations on infinite lattices. For given periodicity, i"},"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":"1803.10289","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-03-27T19:49:48Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"01393cefe21ea09a577c5a32697e4d980923fdb0cdadd345e31f8add7a2de61b","abstract_canon_sha256":"056f7253a0520aaf2bc4cb2672109c0cb8749a6355ca4608b6804c0bb9717008"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:23.667602Z","signature_b64":"gY0WPrf6HsGdgL1UhnNsfKRsPq3aAUGAxk877zqi5/U6znLtw6vM2YKZFRUXJto1OxZxA1gsl+B5hR4pzhMbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03af93c22f7d36bf94eea3478c5ec3fecd1bcd642c2c2611d2178c42893234eb","last_reissued_at":"2026-05-18T00:05:23.667006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:23.667006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergence of Spacetime in a restricted Spin-foam model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Johannes Th\\\"urigen, Sebastian Steinhaus","submitted_at":"2018-03-27T19:49:48Z","abstract_excerpt":"The spectral dimension has proven to be a very informative observable to understand the properties of quantum geometries in approaches to quantum gravity. In loop quantum gravity and its spin foam description, it has not been possible so far to calculate the spectral dimension of spacetime. As a first step towards this goal, here we determine the spacetime spectral dimension in the simplified spin foam model restricted to hypercuboids. Using Monte Carlo methods we compute the spectral dimension for state sums over periodic spin foam configurations on infinite lattices. For given periodicity, i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10289","kind":"arxiv","version":3},"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":"1803.10289","created_at":"2026-05-18T00:05:23.667103+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10289v3","created_at":"2026-05-18T00:05:23.667103+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10289","created_at":"2026-05-18T00:05:23.667103+00:00"},{"alias_kind":"pith_short_12","alias_value":"AOXZHQRPPU3L","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AOXZHQRPPU3L7FHO","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AOXZHQRP","created_at":"2026-05-18T12:32:13.499390+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/AOXZHQRPPU3L7FHOUNDYYXWD73","json":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73.json","graph_json":"https://pith.science/api/pith-number/AOXZHQRPPU3L7FHOUNDYYXWD73/graph.json","events_json":"https://pith.science/api/pith-number/AOXZHQRPPU3L7FHOUNDYYXWD73/events.json","paper":"https://pith.science/paper/AOXZHQRP"},"agent_actions":{"view_html":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73","download_json":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73.json","view_paper":"https://pith.science/paper/AOXZHQRP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10289&json=true","fetch_graph":"https://pith.science/api/pith-number/AOXZHQRPPU3L7FHOUNDYYXWD73/graph.json","fetch_events":"https://pith.science/api/pith-number/AOXZHQRPPU3L7FHOUNDYYXWD73/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73/action/storage_attestation","attest_author":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73/action/author_attestation","sign_citation":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73/action/citation_signature","submit_replication":"https://pith.science/pith/AOXZHQRPPU3L7FHOUNDYYXWD73/action/replication_record"}},"created_at":"2026-05-18T00:05:23.667103+00:00","updated_at":"2026-05-18T00:05:23.667103+00:00"}