{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IINPQ524VQIJEFN6A5VVSF4WM3","short_pith_number":"pith:IINPQ524","canonical_record":{"source":{"id":"1408.1665","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T17:41:16Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"4b2ba4a4bf1bcc36d90c302c899330cb2898a31bf6ed0ee43601d816fd8cbce1","abstract_canon_sha256":"782bdd8656bac849fb2fdc605d4a2a9333e94cc4105fa0aa788817313f0b363c"},"schema_version":"1.0"},"canonical_sha256":"421af8775cac109215be076b59179666dee57d21f4f929c945d434c5d926a106","source":{"kind":"arxiv","id":"1408.1665","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1665","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1665v3","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1665","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"IINPQ524VQIJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IINPQ524VQIJEFN6","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IINPQ524","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IINPQ524VQIJEFN6A5VVSF4WM3","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1665","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T17:41:16Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"4b2ba4a4bf1bcc36d90c302c899330cb2898a31bf6ed0ee43601d816fd8cbce1","abstract_canon_sha256":"782bdd8656bac849fb2fdc605d4a2a9333e94cc4105fa0aa788817313f0b363c"},"schema_version":"1.0"},"canonical_sha256":"421af8775cac109215be076b59179666dee57d21f4f929c945d434c5d926a106","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:08.840759Z","signature_b64":"q7zAv4VSMBKeDYbFOzfPP61Be+eYJfRdPUeTujrxoREzQpbPJGB+jVCNM5ekcw40LAieBoKRw4fEMpTKPzfmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"421af8775cac109215be076b59179666dee57d21f4f929c945d434c5d926a106","last_reissued_at":"2026-05-18T01:24:08.840085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:08.840085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1665","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5iTPsD1MspGGMXG6CrnKJ0k4maTlVjHS0gPDqLYjpzMKDEnEHtr1mIJDITqeGbPOcSKPT1xKzYYpphDpoAKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:55:33.887182Z"},"content_sha256":"5839e99171fa247b417198909e1c9b758a75a9420a1f6b586b4d75bcac216104","schema_version":"1.0","event_id":"sha256:5839e99171fa247b417198909e1c9b758a75a9420a1f6b586b4d75bcac216104"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IINPQ524VQIJEFN6A5VVSF4WM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fibers of partial totalizations of a pointed cosimplicial space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Akhil Mathew, Vesna Stojanoska","submitted_at":"2014-08-07T17:41:16Z","abstract_excerpt":"Let $X^\\bullet$ be a cosimplicial object in a pointed $\\infty$-category. We show that the fiber of $\\mathrm{Tot}_m(X^\\bullet) \\to \\mathrm{Tot}_n(X^\\bullet)$ depends only on the pointed cosimplicial object $\\Omega^k X^\\bullet$ and is in particular a $k$-fold loop object, where $k = 2n - m+2$. The approach is explicit obstruction theory with quasicategories. We also discuss generalizations to other types of homotopy limits and colimits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1665","kind":"arxiv","version":3},"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":"2026-05-18T01:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qo+VrPeJElsmhJMRrhHDxXNCab4uuSkPK6uCokuKFMDKdmt4wYCkexhPLR6vqj7+cJE+HIiMbDPzixu2XXihCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:55:33.887564Z"},"content_sha256":"3c445f5721110290d827f7863cb9d57697020507d7757d96f6dc6beea180c5a3","schema_version":"1.0","event_id":"sha256:3c445f5721110290d827f7863cb9d57697020507d7757d96f6dc6beea180c5a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IINPQ524VQIJEFN6A5VVSF4WM3/bundle.json","state_url":"https://pith.science/pith/IINPQ524VQIJEFN6A5VVSF4WM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IINPQ524VQIJEFN6A5VVSF4WM3/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":"2026-05-31T17:55:33Z","links":{"resolver":"https://pith.science/pith/IINPQ524VQIJEFN6A5VVSF4WM3","bundle":"https://pith.science/pith/IINPQ524VQIJEFN6A5VVSF4WM3/bundle.json","state":"https://pith.science/pith/IINPQ524VQIJEFN6A5VVSF4WM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IINPQ524VQIJEFN6A5VVSF4WM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IINPQ524VQIJEFN6A5VVSF4WM3","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":"782bdd8656bac849fb2fdc605d4a2a9333e94cc4105fa0aa788817313f0b363c","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T17:41:16Z","title_canon_sha256":"4b2ba4a4bf1bcc36d90c302c899330cb2898a31bf6ed0ee43601d816fd8cbce1"},"schema_version":"1.0","source":{"id":"1408.1665","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1665","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1665v3","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1665","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"IINPQ524VQIJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IINPQ524VQIJEFN6","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IINPQ524","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:3c445f5721110290d827f7863cb9d57697020507d7757d96f6dc6beea180c5a3","target":"graph","created_at":"2026-05-18T01:24:08Z","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":"Let $X^\\bullet$ be a cosimplicial object in a pointed $\\infty$-category. We show that the fiber of $\\mathrm{Tot}_m(X^\\bullet) \\to \\mathrm{Tot}_n(X^\\bullet)$ depends only on the pointed cosimplicial object $\\Omega^k X^\\bullet$ and is in particular a $k$-fold loop object, where $k = 2n - m+2$. The approach is explicit obstruction theory with quasicategories. We also discuss generalizations to other types of homotopy limits and colimits.","authors_text":"Akhil Mathew, Vesna Stojanoska","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T17:41:16Z","title":"Fibers of partial totalizations of a pointed cosimplicial space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1665","kind":"arxiv","version":3},"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":"sha256:5839e99171fa247b417198909e1c9b758a75a9420a1f6b586b4d75bcac216104","target":"record","created_at":"2026-05-18T01:24:08Z","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":"782bdd8656bac849fb2fdc605d4a2a9333e94cc4105fa0aa788817313f0b363c","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T17:41:16Z","title_canon_sha256":"4b2ba4a4bf1bcc36d90c302c899330cb2898a31bf6ed0ee43601d816fd8cbce1"},"schema_version":"1.0","source":{"id":"1408.1665","kind":"arxiv","version":3}},"canonical_sha256":"421af8775cac109215be076b59179666dee57d21f4f929c945d434c5d926a106","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"421af8775cac109215be076b59179666dee57d21f4f929c945d434c5d926a106","first_computed_at":"2026-05-18T01:24:08.840085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:08.840085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q7zAv4VSMBKeDYbFOzfPP61Be+eYJfRdPUeTujrxoREzQpbPJGB+jVCNM5ekcw40LAieBoKRw4fEMpTKPzfmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:08.840759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1665","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5839e99171fa247b417198909e1c9b758a75a9420a1f6b586b4d75bcac216104","sha256:3c445f5721110290d827f7863cb9d57697020507d7757d96f6dc6beea180c5a3"],"state_sha256":"7d26abf7b6c0717761c2514fa63ed5089ce731c8dbc82ccdde4cd223ad53018d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SPpb+N4JXwbqcjx6ApMEgdgYzt42kSfvlgc5v2cS2DUBaE4S66NQ6X8KOsLKIV76ZvZPvFCNH81gAP7J/xSxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:55:33.889625Z","bundle_sha256":"74bb67a72e7d256f741af29d88da7547e34af94036ef7074ed2020f12541542b"}}