{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ERUWD2FRPCAKPL56U63AHEOVTA","short_pith_number":"pith:ERUWD2FR","schema_version":"1.0","canonical_sha256":"246961e8b17880a7afbea7b60391d59818f128205f04d5b80a478c98c48e8728","source":{"kind":"arxiv","id":"1102.1579","version":1},"attestation_state":"computed","paper":{"title":"On the relevance of the differential expressions $f^2+f'^2$, $f+f\"$ and $f f\"- f'^2$ for the geometrical and mechanical properties of curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"James Bell Cooper","submitted_at":"2011-02-08T11:53:21Z","abstract_excerpt":"We present a unified approach to known and new properties of curves by showing the ubiquity of the expressions in the title in the analytic treatment of their mechanical and geometric properties"},"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":"1102.1579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T11:53:21Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"993821eb15a910a672be95b8e749800740571097c477cff7bccd0518f651a666","abstract_canon_sha256":"8b99e018d9166d757b0fa1678e2eafcb339d92409b28368625a509c0f14f57d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:52.932188Z","signature_b64":"13dcvjujFC+KDMqlY9Y//TuxaJnGyXWOVq/Fd22au2oSQ6x2u8P9gq68cbeV7GIvbQX/qdifz8zaGt2/kIcVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"246961e8b17880a7afbea7b60391d59818f128205f04d5b80a478c98c48e8728","last_reissued_at":"2026-05-18T04:29:52.931764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:52.931764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the relevance of the differential expressions $f^2+f'^2$, $f+f\"$ and $f f\"- f'^2$ for the geometrical and mechanical properties of curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"James Bell Cooper","submitted_at":"2011-02-08T11:53:21Z","abstract_excerpt":"We present a unified approach to known and new properties of curves by showing the ubiquity of the expressions in the title in the analytic treatment of their mechanical and geometric properties"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1579","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":"1102.1579","created_at":"2026-05-18T04:29:52.931830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.1579v1","created_at":"2026-05-18T04:29:52.931830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1579","created_at":"2026-05-18T04:29:52.931830+00:00"},{"alias_kind":"pith_short_12","alias_value":"ERUWD2FRPCAK","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"ERUWD2FRPCAKPL56","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"ERUWD2FR","created_at":"2026-05-18T12:26:28.662955+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/ERUWD2FRPCAKPL56U63AHEOVTA","json":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA.json","graph_json":"https://pith.science/api/pith-number/ERUWD2FRPCAKPL56U63AHEOVTA/graph.json","events_json":"https://pith.science/api/pith-number/ERUWD2FRPCAKPL56U63AHEOVTA/events.json","paper":"https://pith.science/paper/ERUWD2FR"},"agent_actions":{"view_html":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA","download_json":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA.json","view_paper":"https://pith.science/paper/ERUWD2FR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.1579&json=true","fetch_graph":"https://pith.science/api/pith-number/ERUWD2FRPCAKPL56U63AHEOVTA/graph.json","fetch_events":"https://pith.science/api/pith-number/ERUWD2FRPCAKPL56U63AHEOVTA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA/action/storage_attestation","attest_author":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA/action/author_attestation","sign_citation":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA/action/citation_signature","submit_replication":"https://pith.science/pith/ERUWD2FRPCAKPL56U63AHEOVTA/action/replication_record"}},"created_at":"2026-05-18T04:29:52.931830+00:00","updated_at":"2026-05-18T04:29:52.931830+00:00"}