{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:X2ADW7X2PGR76AZ45E2LRD362N","short_pith_number":"pith:X2ADW7X2","schema_version":"1.0","canonical_sha256":"be803b7efa79a3ff033ce934b88f7ed37688f58978b3c59cc82eb618c5776ede","source":{"kind":"arxiv","id":"1307.4188","version":1},"attestation_state":"computed","paper":{"title":"Heat trace and spectral action on the standard Podles sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.OA"],"primary_cat":"math.QA","authors_text":"Andrzej Sitarz, Bruno Iochum, Michal Eckstein","submitted_at":"2013-07-16T08:04:19Z","abstract_excerpt":"We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres $S^2_q$ for $0<q<1$, study its behavior when $q\\to 1$ and fully compute its exact spectral action for an explicit class of cut-off functions."},"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":"1307.4188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-07-16T08:04:19Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.OA"],"title_canon_sha256":"c4db79276892d5718bb875c13a6e9489890d56879afa79485c07c5081a3cb5af","abstract_canon_sha256":"fd00e80b59d474ddb383d2271e23732ca70820049abfac5ce1125224cabdbf21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:29.438653Z","signature_b64":"UURZ9VX5H+KMbaZerM8824NF6ugMeEuRpHVWK89xJxh7oZMh/jwx75nLwKW+lewSm1xGesQkqLYoxzOtA7B+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be803b7efa79a3ff033ce934b88f7ed37688f58978b3c59cc82eb618c5776ede","last_reissued_at":"2026-05-18T00:14:29.438153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:29.438153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heat trace and spectral action on the standard Podles sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.OA"],"primary_cat":"math.QA","authors_text":"Andrzej Sitarz, Bruno Iochum, Michal Eckstein","submitted_at":"2013-07-16T08:04:19Z","abstract_excerpt":"We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres $S^2_q$ for $0<q<1$, study its behavior when $q\\to 1$ and fully compute its exact spectral action for an explicit class of cut-off functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4188","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":"1307.4188","created_at":"2026-05-18T00:14:29.438225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.4188v1","created_at":"2026-05-18T00:14:29.438225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4188","created_at":"2026-05-18T00:14:29.438225+00:00"},{"alias_kind":"pith_short_12","alias_value":"X2ADW7X2PGR7","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"X2ADW7X2PGR76AZ4","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"X2ADW7X2","created_at":"2026-05-18T12:28:06.772260+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/X2ADW7X2PGR76AZ45E2LRD362N","json":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N.json","graph_json":"https://pith.science/api/pith-number/X2ADW7X2PGR76AZ45E2LRD362N/graph.json","events_json":"https://pith.science/api/pith-number/X2ADW7X2PGR76AZ45E2LRD362N/events.json","paper":"https://pith.science/paper/X2ADW7X2"},"agent_actions":{"view_html":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N","download_json":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N.json","view_paper":"https://pith.science/paper/X2ADW7X2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.4188&json=true","fetch_graph":"https://pith.science/api/pith-number/X2ADW7X2PGR76AZ45E2LRD362N/graph.json","fetch_events":"https://pith.science/api/pith-number/X2ADW7X2PGR76AZ45E2LRD362N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N/action/storage_attestation","attest_author":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N/action/author_attestation","sign_citation":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N/action/citation_signature","submit_replication":"https://pith.science/pith/X2ADW7X2PGR76AZ45E2LRD362N/action/replication_record"}},"created_at":"2026-05-18T00:14:29.438225+00:00","updated_at":"2026-05-18T00:14:29.438225+00:00"}