{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:6WUNGSXA2RHEK53SBQGCLBTGXQ","short_pith_number":"pith:6WUNGSXA","schema_version":"1.0","canonical_sha256":"f5a8d34ae0d44e4577720c0c258666bc260ded9f2587a4a2d29e7954457d5f02","source":{"kind":"arxiv","id":"math-ph/9812016","version":2},"attestation_state":"computed","paper":{"title":"Isomorphism of Hierarchical Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Charles Radin, Lorenzo Sadun","submitted_at":"1998-12-18T18:06:42Z","abstract_excerpt":"We consider hierarchical structures such as Fibonacci sequences and Penrose tilings, and examine the consequences of different choices for the definition of isomorphism. In particular we discuss the role such a choice plays with regard to matching rules for such structures."},"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":"math-ph/9812016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"1998-12-18T18:06:42Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"d203e1a18cdc6ba661b9f6c79976909aef6efc4533a6a3e9a3f263a1d2aab552","abstract_canon_sha256":"43887aa874bcbfb7b18aa33cd5e84f6eb2452fb18e23df2c6d5594b0efad14fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:12.152919Z","signature_b64":"RAFSWHY36eyiHvzpbc1API4x8TM5xZ3+0+pq2dU7PjlAb+HiFL+pi9JorD8P2YKUKN7m1JSs9x072k2coQt9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5a8d34ae0d44e4577720c0c258666bc260ded9f2587a4a2d29e7954457d5f02","last_reissued_at":"2026-05-18T00:11:12.152179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:12.152179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isomorphism of Hierarchical Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Charles Radin, Lorenzo Sadun","submitted_at":"1998-12-18T18:06:42Z","abstract_excerpt":"We consider hierarchical structures such as Fibonacci sequences and Penrose tilings, and examine the consequences of different choices for the definition of isomorphism. In particular we discuss the role such a choice plays with regard to matching rules for such structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9812016","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":"math-ph/9812016","created_at":"2026-05-18T00:11:12.152303+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9812016v2","created_at":"2026-05-18T00:11:12.152303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9812016","created_at":"2026-05-18T00:11:12.152303+00:00"},{"alias_kind":"pith_short_12","alias_value":"6WUNGSXA2RHE","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"6WUNGSXA2RHEK53S","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"6WUNGSXA","created_at":"2026-05-18T12:25:49.038998+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/6WUNGSXA2RHEK53SBQGCLBTGXQ","json":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ.json","graph_json":"https://pith.science/api/pith-number/6WUNGSXA2RHEK53SBQGCLBTGXQ/graph.json","events_json":"https://pith.science/api/pith-number/6WUNGSXA2RHEK53SBQGCLBTGXQ/events.json","paper":"https://pith.science/paper/6WUNGSXA"},"agent_actions":{"view_html":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ","download_json":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ.json","view_paper":"https://pith.science/paper/6WUNGSXA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/9812016&json=true","fetch_graph":"https://pith.science/api/pith-number/6WUNGSXA2RHEK53SBQGCLBTGXQ/graph.json","fetch_events":"https://pith.science/api/pith-number/6WUNGSXA2RHEK53SBQGCLBTGXQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ/action/storage_attestation","attest_author":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ/action/author_attestation","sign_citation":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ/action/citation_signature","submit_replication":"https://pith.science/pith/6WUNGSXA2RHEK53SBQGCLBTGXQ/action/replication_record"}},"created_at":"2026-05-18T00:11:12.152303+00:00","updated_at":"2026-05-18T00:11:12.152303+00:00"}