{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:T34IQDU7W43EDMB5GNRINRAT64","short_pith_number":"pith:T34IQDU7","schema_version":"1.0","canonical_sha256":"9ef8880e9fb73641b03d336286c413f70cea19f4a4f9c81718c4a17609cf6718","source":{"kind":"arxiv","id":"2405.01944","version":1},"attestation_state":"computed","paper":{"title":"Topologically Interlocking Blocks inside the Tetroctahedrille","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG"],"primary_cat":"math.CO","authors_text":"Alice C. Niemeyer, Reymond Akpanya, Tom Goertzen","submitted_at":"2024-05-03T09:15:42Z","abstract_excerpt":"A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be removed from the assembly. In this paper we pursue a modular approach to construct (non-convex) interlocking blocks by combining finitely many tetrahedra and octahedra. This gives rise to polyhedra whose vertices can be described by the tetrahedral-octahedral honeycomb, also known as tetroctahedrille. We show that the resulting interlocking blocks are very versatile and allow many possibilities to form topological interloc"},"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":"2405.01944","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-05-03T09:15:42Z","cross_cats_sorted":["cs.CG"],"title_canon_sha256":"3f23729186000df981f27014859292514fe8a6b1fe1805a18030014459efcdb9","abstract_canon_sha256":"32ce0b3949efe43d1bb291b48be31b47d73bcd810ba4034465d0bc91014b9456"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:15:04.706916Z","signature_b64":"xOaCh6zEVrwtZxJBQ3mL3mgndj+oGptx4eUJHLWBe3UrXZMn20yifw7x9XNFHU6g/yih8VpH+P1pFHsJksDPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ef8880e9fb73641b03d336286c413f70cea19f4a4f9c81718c4a17609cf6718","last_reissued_at":"2026-07-05T08:15:04.706507Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:15:04.706507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topologically Interlocking Blocks inside the Tetroctahedrille","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG"],"primary_cat":"math.CO","authors_text":"Alice C. Niemeyer, Reymond Akpanya, Tom Goertzen","submitted_at":"2024-05-03T09:15:42Z","abstract_excerpt":"A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be removed from the assembly. In this paper we pursue a modular approach to construct (non-convex) interlocking blocks by combining finitely many tetrahedra and octahedra. This gives rise to polyhedra whose vertices can be described by the tetrahedral-octahedral honeycomb, also known as tetroctahedrille. We show that the resulting interlocking blocks are very versatile and allow many possibilities to form topological interloc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.01944","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.01944/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2405.01944","created_at":"2026-07-05T08:15:04.706561+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.01944v1","created_at":"2026-07-05T08:15:04.706561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.01944","created_at":"2026-07-05T08:15:04.706561+00:00"},{"alias_kind":"pith_short_12","alias_value":"T34IQDU7W43E","created_at":"2026-07-05T08:15:04.706561+00:00"},{"alias_kind":"pith_short_16","alias_value":"T34IQDU7W43EDMB5","created_at":"2026-07-05T08:15:04.706561+00:00"},{"alias_kind":"pith_short_8","alias_value":"T34IQDU7","created_at":"2026-07-05T08:15:04.706561+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/T34IQDU7W43EDMB5GNRINRAT64","json":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64.json","graph_json":"https://pith.science/api/pith-number/T34IQDU7W43EDMB5GNRINRAT64/graph.json","events_json":"https://pith.science/api/pith-number/T34IQDU7W43EDMB5GNRINRAT64/events.json","paper":"https://pith.science/paper/T34IQDU7"},"agent_actions":{"view_html":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64","download_json":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64.json","view_paper":"https://pith.science/paper/T34IQDU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.01944&json=true","fetch_graph":"https://pith.science/api/pith-number/T34IQDU7W43EDMB5GNRINRAT64/graph.json","fetch_events":"https://pith.science/api/pith-number/T34IQDU7W43EDMB5GNRINRAT64/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64/action/storage_attestation","attest_author":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64/action/author_attestation","sign_citation":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64/action/citation_signature","submit_replication":"https://pith.science/pith/T34IQDU7W43EDMB5GNRINRAT64/action/replication_record"}},"created_at":"2026-07-05T08:15:04.706561+00:00","updated_at":"2026-07-05T08:15:04.706561+00:00"}