{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:QF5BKEADDMFI5J4O5MFJ2S3SHD","short_pith_number":"pith:QF5BKEAD","canonical_record":{"source":{"id":"math/0304161","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2003-04-13T17:50:02Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"edfdb8cb77047030df3e5764432c3269da6411c34bc5d3343796e44115f71a08","abstract_canon_sha256":"82a84b780075f6a5da86533390334a6c573d82d238108c0a5a739a5cfb63fcb7"},"schema_version":"1.0"},"canonical_sha256":"817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6","source":{"kind":"arxiv","id":"math/0304161","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0304161","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"math/0304161v4","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0304161","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"QF5BKEADDMFI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"QF5BKEADDMFI5J4O","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"QF5BKEAD","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:QF5BKEADDMFI5J4O5MFJ2S3SHD","target":"record","payload":{"canonical_record":{"source":{"id":"math/0304161","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2003-04-13T17:50:02Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"edfdb8cb77047030df3e5764432c3269da6411c34bc5d3343796e44115f71a08","abstract_canon_sha256":"82a84b780075f6a5da86533390334a6c573d82d238108c0a5a739a5cfb63fcb7"},"schema_version":"1.0"},"canonical_sha256":"817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:20.933722Z","signature_b64":"i6ps2oUFHPzzwItLYDSP6l6N5nwdwtcP07kwiy7/gz49Khdmfwl9I1EC0BZ6ex4Bd2BcHbIxjh37H1oS4j1SCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6","last_reissued_at":"2026-05-18T04:40:20.933148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:20.933148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0304161","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"48sJmW1Ywjcvr9F4VdKh5mdPvj0+xODV5EvSiWXIhf6XnHebU81rl3pEXJcuvIbUleU9BAo5hBynHVRUDyt0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:47:50.410741Z"},"content_sha256":"971f670be2ddfdb6efe70d7fec4921a293906ae1ca22c94b172cc495b25ca118","schema_version":"1.0","event_id":"sha256:971f670be2ddfdb6efe70d7fec4921a293906ae1ca22c94b172cc495b25ca118"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:QF5BKEADDMFI5J4O5MFJ2S3SHD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An E-infty-extension of the associahedra and the Tamarkin cell mystery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.AT","authors_text":"Martin Markl","submitted_at":"2003-04-13T17:50:02Z","abstract_excerpt":"We study a cofibrant E-infty operad generated by the Fox-Neuwirth cells of the configuration space of points in the Euclidean space. We show that, below the `critical dimensions' in which `bad cells' exist, this operad is modeled by the geometry of the Fulton-MacPherson compactification of this configuration space. We analyze the Tamarkin bad cell and calculate the differential of the corresponding generator. We also describe a simpler, four-dimensional bad cell. We finish the paper by proving an auxiliary result giving a characterization, over integers, of free Lie algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0304161","kind":"arxiv","version":4},"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":"2026-05-18T04:40:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"akZU0pCzcdWfMmg6tSg8nlXIZXQNU4FLDDC2JlfUwVKWPuk5nbZP+vCDZE7j8qvacR0ix1zHdwKuhdL0Fx9GCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:47:50.411427Z"},"content_sha256":"75547a7a1af09bcc8c27777718046748fe8711947239c84f43267a93ed80fb6e","schema_version":"1.0","event_id":"sha256:75547a7a1af09bcc8c27777718046748fe8711947239c84f43267a93ed80fb6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/bundle.json","state_url":"https://pith.science/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/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":"2026-05-25T09:47:50Z","links":{"resolver":"https://pith.science/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD","bundle":"https://pith.science/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/bundle.json","state":"https://pith.science/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QF5BKEADDMFI5J4O5MFJ2S3SHD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:QF5BKEADDMFI5J4O5MFJ2S3SHD","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":"82a84b780075f6a5da86533390334a6c573d82d238108c0a5a739a5cfb63fcb7","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2003-04-13T17:50:02Z","title_canon_sha256":"edfdb8cb77047030df3e5764432c3269da6411c34bc5d3343796e44115f71a08"},"schema_version":"1.0","source":{"id":"math/0304161","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0304161","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"math/0304161v4","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0304161","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"QF5BKEADDMFI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"QF5BKEADDMFI5J4O","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"QF5BKEAD","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:75547a7a1af09bcc8c27777718046748fe8711947239c84f43267a93ed80fb6e","target":"graph","created_at":"2026-05-18T04:40:20Z","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":"We study a cofibrant E-infty operad generated by the Fox-Neuwirth cells of the configuration space of points in the Euclidean space. We show that, below the `critical dimensions' in which `bad cells' exist, this operad is modeled by the geometry of the Fulton-MacPherson compactification of this configuration space. We analyze the Tamarkin bad cell and calculate the differential of the corresponding generator. We also describe a simpler, four-dimensional bad cell. We finish the paper by proving an auxiliary result giving a characterization, over integers, of free Lie algebras.","authors_text":"Martin Markl","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2003-04-13T17:50:02Z","title":"An E-infty-extension of the associahedra and the Tamarkin cell mystery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0304161","kind":"arxiv","version":4},"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":"sha256:971f670be2ddfdb6efe70d7fec4921a293906ae1ca22c94b172cc495b25ca118","target":"record","created_at":"2026-05-18T04:40:20Z","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":"82a84b780075f6a5da86533390334a6c573d82d238108c0a5a739a5cfb63fcb7","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2003-04-13T17:50:02Z","title_canon_sha256":"edfdb8cb77047030df3e5764432c3269da6411c34bc5d3343796e44115f71a08"},"schema_version":"1.0","source":{"id":"math/0304161","kind":"arxiv","version":4}},"canonical_sha256":"817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6","first_computed_at":"2026-05-18T04:40:20.933148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:20.933148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i6ps2oUFHPzzwItLYDSP6l6N5nwdwtcP07kwiy7/gz49Khdmfwl9I1EC0BZ6ex4Bd2BcHbIxjh37H1oS4j1SCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:20.933722Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0304161","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:971f670be2ddfdb6efe70d7fec4921a293906ae1ca22c94b172cc495b25ca118","sha256:75547a7a1af09bcc8c27777718046748fe8711947239c84f43267a93ed80fb6e"],"state_sha256":"947715ac9d44748b9a5c2bfc21e79150d6bbe16d55680cc9e7f418a91b232876"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dC54UoSylc8D7PNeF+nBMyBG1T8+n3WsQiHFdWfrAsbGMpKmtOz05hDaBstao9Sc+RiNFKmBjLMbdKi1IH2CAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:47:50.415651Z","bundle_sha256":"54411bf04e4e54f6b2165fd38219d0762364fe04ed2963d83343b63e231fd84b"}}