{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ATEFMPBRXZIU3GXTSEO2C44TSV","short_pith_number":"pith:ATEFMPBR","schema_version":"1.0","canonical_sha256":"04c8563c31be514d9af3911da173939575b8da6062137748b3472ed60c0240ad","source":{"kind":"arxiv","id":"1601.08208","version":2},"attestation_state":"computed","paper":{"title":"Spectral triples for nested fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniele Guido, Tommaso Isola","submitted_at":"2016-01-29T17:46:35Z","abstract_excerpt":"It is shown that, for nested fractals [T.Lindstrom, Mem. Amer. Math. Soc. 420, 1990], the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists) induced by the immersion in $R^n$, and the self-similar energy can all be recovered by the description of the fractals in terms of the spectral triples considered in [D.Guido, T.Isola, in \"Advances in Operator Algebras and Mathematical Physics\", Theta Series in Advanced Mathematics, Bucharest 2005]."},"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":"1601.08208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-29T17:46:35Z","cross_cats_sorted":[],"title_canon_sha256":"4925c0a08eb88ea6fd5e411c017c8505c83782c770a65d1fc2011669e122528f","abstract_canon_sha256":"e1788ca7ef91af6bcbb51055d299bd8679815ddd5e0e64dadb871f3f2bfda11c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:55.369054Z","signature_b64":"SXgCSwzmEEbYdmFpWdZieInxE68p0eJV6lOTiP2g8m9NyBevG+5JB6/+sKHQxpzERlOwRcKLqARzXYxyU/bVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04c8563c31be514d9af3911da173939575b8da6062137748b3472ed60c0240ad","last_reissued_at":"2026-05-18T00:27:55.368536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:55.368536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral triples for nested fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniele Guido, Tommaso Isola","submitted_at":"2016-01-29T17:46:35Z","abstract_excerpt":"It is shown that, for nested fractals [T.Lindstrom, Mem. Amer. Math. Soc. 420, 1990], the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists) induced by the immersion in $R^n$, and the self-similar energy can all be recovered by the description of the fractals in terms of the spectral triples considered in [D.Guido, T.Isola, in \"Advances in Operator Algebras and Mathematical Physics\", Theta Series in Advanced Mathematics, Bucharest 2005]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.08208","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":"1601.08208","created_at":"2026-05-18T00:27:55.368597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.08208v2","created_at":"2026-05-18T00:27:55.368597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.08208","created_at":"2026-05-18T00:27:55.368597+00:00"},{"alias_kind":"pith_short_12","alias_value":"ATEFMPBRXZIU","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"ATEFMPBRXZIU3GXT","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"ATEFMPBR","created_at":"2026-05-18T12:30:07.202191+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/ATEFMPBRXZIU3GXTSEO2C44TSV","json":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV.json","graph_json":"https://pith.science/api/pith-number/ATEFMPBRXZIU3GXTSEO2C44TSV/graph.json","events_json":"https://pith.science/api/pith-number/ATEFMPBRXZIU3GXTSEO2C44TSV/events.json","paper":"https://pith.science/paper/ATEFMPBR"},"agent_actions":{"view_html":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV","download_json":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV.json","view_paper":"https://pith.science/paper/ATEFMPBR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.08208&json=true","fetch_graph":"https://pith.science/api/pith-number/ATEFMPBRXZIU3GXTSEO2C44TSV/graph.json","fetch_events":"https://pith.science/api/pith-number/ATEFMPBRXZIU3GXTSEO2C44TSV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV/action/storage_attestation","attest_author":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV/action/author_attestation","sign_citation":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV/action/citation_signature","submit_replication":"https://pith.science/pith/ATEFMPBRXZIU3GXTSEO2C44TSV/action/replication_record"}},"created_at":"2026-05-18T00:27:55.368597+00:00","updated_at":"2026-05-18T00:27:55.368597+00:00"}