{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:N666QQMK5YVZIWZVYP4KYL444T","short_pith_number":"pith:N666QQMK","canonical_record":{"source":{"id":"1007.1117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-07-07T12:35:50Z","cross_cats_sorted":[],"title_canon_sha256":"1f6f0f2ea8cb1901f5de4027570dda4da613c1fa4b2141445b133128c6f30e00","abstract_canon_sha256":"0fe267775e449a5defcf00f4c63e191b865783d1dc93099470de5287a14f112a"},"schema_version":"1.0"},"canonical_sha256":"6fbde8418aee2b945b35c3f8ac2f9ce4d24d2a1932bdb8fc251d0d034337413e","source":{"kind":"arxiv","id":"1007.1117","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1117","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1117v1","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1117","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"pith_short_12","alias_value":"N666QQMK5YVZ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N666QQMK5YVZIWZV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N666QQMK","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:N666QQMK5YVZIWZVYP4KYL444T","target":"record","payload":{"canonical_record":{"source":{"id":"1007.1117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-07-07T12:35:50Z","cross_cats_sorted":[],"title_canon_sha256":"1f6f0f2ea8cb1901f5de4027570dda4da613c1fa4b2141445b133128c6f30e00","abstract_canon_sha256":"0fe267775e449a5defcf00f4c63e191b865783d1dc93099470de5287a14f112a"},"schema_version":"1.0"},"canonical_sha256":"6fbde8418aee2b945b35c3f8ac2f9ce4d24d2a1932bdb8fc251d0d034337413e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:47.640967Z","signature_b64":"76pxqmIhmXOVkSM88vBed8NnKv9urnbO+fE5dVhuoYSGd5TV5uzXzA1Wfk2yGNnO/MTMTMRvwvykeHMyDz2RAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fbde8418aee2b945b35c3f8ac2f9ce4d24d2a1932bdb8fc251d0d034337413e","last_reissued_at":"2026-05-18T00:26:47.640308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:47.640308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.1117","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjnLf321quvjQsQfN3rg25DS9f478o05hsSQ6E4JyxR9OUxz8k8frmiqTGs4Bs8lZ+8wQFDuRFNJyQmVN1UGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:47:36.566472Z"},"content_sha256":"af2d87869524b7950de9048cc636ffef6fb44a9abf6f329986ac1df25f757b18","schema_version":"1.0","event_id":"sha256:af2d87869524b7950de9048cc636ffef6fb44a9abf6f329986ac1df25f757b18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:N666QQMK5YVZIWZVYP4KYL444T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lawrence-Sullivan models for the interval","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel Tanre, Paul-Eugene Parent","submitted_at":"2010-07-07T12:35:50Z","abstract_excerpt":"Two constructions of a Lie model of the interval were performed by R. Lawrence and D. Sullivan. The first model uses an inductive process and the second one comes directly from solving a differential equation. They conjectured that these two models are the same. We prove this conjecture here."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1117","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RBvfjjgzYUvTmkZKdtgptFKt3FdIJb7owStGvZSzJrDTCkvSpZjsaTNE6xy1du6R3wiebj0DWeT94DLg17l6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:47:36.566817Z"},"content_sha256":"ef2a8bbd81834bba7c806fcbdb6c12606d696daf4627d16eff50c6a6260b0efb","schema_version":"1.0","event_id":"sha256:ef2a8bbd81834bba7c806fcbdb6c12606d696daf4627d16eff50c6a6260b0efb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N666QQMK5YVZIWZVYP4KYL444T/bundle.json","state_url":"https://pith.science/pith/N666QQMK5YVZIWZVYP4KYL444T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N666QQMK5YVZIWZVYP4KYL444T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T21:47:36Z","links":{"resolver":"https://pith.science/pith/N666QQMK5YVZIWZVYP4KYL444T","bundle":"https://pith.science/pith/N666QQMK5YVZIWZVYP4KYL444T/bundle.json","state":"https://pith.science/pith/N666QQMK5YVZIWZVYP4KYL444T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N666QQMK5YVZIWZVYP4KYL444T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:N666QQMK5YVZIWZVYP4KYL444T","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0fe267775e449a5defcf00f4c63e191b865783d1dc93099470de5287a14f112a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-07-07T12:35:50Z","title_canon_sha256":"1f6f0f2ea8cb1901f5de4027570dda4da613c1fa4b2141445b133128c6f30e00"},"schema_version":"1.0","source":{"id":"1007.1117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1117","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1117v1","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1117","created_at":"2026-05-18T00:26:47Z"},{"alias_kind":"pith_short_12","alias_value":"N666QQMK5YVZ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N666QQMK5YVZIWZV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N666QQMK","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:ef2a8bbd81834bba7c806fcbdb6c12606d696daf4627d16eff50c6a6260b0efb","target":"graph","created_at":"2026-05-18T00:26:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Two constructions of a Lie model of the interval were performed by R. Lawrence and D. Sullivan. The first model uses an inductive process and the second one comes directly from solving a differential equation. They conjectured that these two models are the same. We prove this conjecture here.","authors_text":"Daniel Tanre, Paul-Eugene Parent","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-07-07T12:35:50Z","title":"Lawrence-Sullivan models for the interval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1117","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:af2d87869524b7950de9048cc636ffef6fb44a9abf6f329986ac1df25f757b18","target":"record","created_at":"2026-05-18T00:26:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0fe267775e449a5defcf00f4c63e191b865783d1dc93099470de5287a14f112a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-07-07T12:35:50Z","title_canon_sha256":"1f6f0f2ea8cb1901f5de4027570dda4da613c1fa4b2141445b133128c6f30e00"},"schema_version":"1.0","source":{"id":"1007.1117","kind":"arxiv","version":1}},"canonical_sha256":"6fbde8418aee2b945b35c3f8ac2f9ce4d24d2a1932bdb8fc251d0d034337413e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fbde8418aee2b945b35c3f8ac2f9ce4d24d2a1932bdb8fc251d0d034337413e","first_computed_at":"2026-05-18T00:26:47.640308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:47.640308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76pxqmIhmXOVkSM88vBed8NnKv9urnbO+fE5dVhuoYSGd5TV5uzXzA1Wfk2yGNnO/MTMTMRvwvykeHMyDz2RAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:47.640967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af2d87869524b7950de9048cc636ffef6fb44a9abf6f329986ac1df25f757b18","sha256:ef2a8bbd81834bba7c806fcbdb6c12606d696daf4627d16eff50c6a6260b0efb"],"state_sha256":"c7cfec76647ad6b6f063398550d2707e49ca3a8bc36ed91efa5847f969b067d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxdOYuv9SSyFL+gjAZ9nxPiqrHwwSwCzxGNKM5KJislddIQNYPjwLSnnspLmg4aNLWRJP5RHDKLIBLdpnPerBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T21:47:36.568716Z","bundle_sha256":"5c7303009ba4064de2af144cb203623f85a3e51af16776083c677f4e1676d7dd"}}