{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GZO43SGDHBI7I767AKGAVJ3YHL","short_pith_number":"pith:GZO43SGD","canonical_record":{"source":{"id":"1510.05543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-19T15:47:14Z","cross_cats_sorted":[],"title_canon_sha256":"850e29fe5229901eadf921109534d6f666e39ae6bb8d96ede77cec0e99d612c8","abstract_canon_sha256":"84bc3355df52ddff2b4028550a502fb3cab79312178a0235820beff025d1f311"},"schema_version":"1.0"},"canonical_sha256":"365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc","source":{"kind":"arxiv","id":"1510.05543","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05543","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05543v2","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05543","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"pith_short_12","alias_value":"GZO43SGDHBI7","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZO43SGDHBI7I767","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZO43SGD","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GZO43SGDHBI7I767AKGAVJ3YHL","target":"record","payload":{"canonical_record":{"source":{"id":"1510.05543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-19T15:47:14Z","cross_cats_sorted":[],"title_canon_sha256":"850e29fe5229901eadf921109534d6f666e39ae6bb8d96ede77cec0e99d612c8","abstract_canon_sha256":"84bc3355df52ddff2b4028550a502fb3cab79312178a0235820beff025d1f311"},"schema_version":"1.0"},"canonical_sha256":"365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:54.421243Z","signature_b64":"07AXYiPUo0jlh/fJcPb7zJBUlX1HsXeqrlufURdP1izBl4bOjr+LkQtLkisxvdkURJElykPfkIeOzMhxgwwdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc","last_reissued_at":"2026-05-17T23:43:54.420570Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:54.420570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.05543","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Um/dMqADWs0+Sd5nGzmBpdEpWDkJNEnDc1yGCPza29kU1Sm0vPVi64KLUEZ1vyxabQqsZ+0+NzOOJUslPmnIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:35:33.331305Z"},"content_sha256":"2e239b291dd89f8918eacf41ac60514ed78896554243178e2b9ca8f879716a88","schema_version":"1.0","event_id":"sha256:2e239b291dd89f8918eacf41ac60514ed78896554243178e2b9ca8f879716a88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GZO43SGDHBI7I767AKGAVJ3YHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crystalline comparison isomorphisms in $p$-adic Hodge theory: the absolutely unramified case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fucheng Tan, Jilong Tong","submitted_at":"2015-10-19T15:47:14Z","abstract_excerpt":"We construct the crystalline comparison isomorphisms for proper smooth formal schemes over an absolutely unramified base. Such isomorphisms hold for \\'etale cohomology with nontrivial coefficients, as well as in the relative setting, i.e. for proper smooth morphisms of smooth formal schemes. The proof is formulated in terms of the pro-\\'etale topos introduced by Scholze, and uses his primitive comparison theorem for the structure sheaf on the pro-\\'etale site. Moreover, we need to prove the Poincar\\'e lemma for crystalline period sheaves, for which we adapt the idea of Andreatta and Iovita. An"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05543","kind":"arxiv","version":2},"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":"2026-05-17T23:43:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vYMSvFF4zlaOJx3HhEVhpjhOw9mzKz7QPiYjkMnimfA8xvcIwJJ7FboHLXb2fgtV5lFZ0QAnZMZ9Y1TuQaiEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:35:33.331665Z"},"content_sha256":"cd0d3387329ba99a7f518cd834a546ceb350fd50ccb46adbe760ec1ce867b5ae","schema_version":"1.0","event_id":"sha256:cd0d3387329ba99a7f518cd834a546ceb350fd50ccb46adbe760ec1ce867b5ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZO43SGDHBI7I767AKGAVJ3YHL/bundle.json","state_url":"https://pith.science/pith/GZO43SGDHBI7I767AKGAVJ3YHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZO43SGDHBI7I767AKGAVJ3YHL/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":"2026-06-23T05:35:33Z","links":{"resolver":"https://pith.science/pith/GZO43SGDHBI7I767AKGAVJ3YHL","bundle":"https://pith.science/pith/GZO43SGDHBI7I767AKGAVJ3YHL/bundle.json","state":"https://pith.science/pith/GZO43SGDHBI7I767AKGAVJ3YHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZO43SGDHBI7I767AKGAVJ3YHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GZO43SGDHBI7I767AKGAVJ3YHL","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":"84bc3355df52ddff2b4028550a502fb3cab79312178a0235820beff025d1f311","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-19T15:47:14Z","title_canon_sha256":"850e29fe5229901eadf921109534d6f666e39ae6bb8d96ede77cec0e99d612c8"},"schema_version":"1.0","source":{"id":"1510.05543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05543","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05543v2","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05543","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"pith_short_12","alias_value":"GZO43SGDHBI7","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZO43SGDHBI7I767","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZO43SGD","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:cd0d3387329ba99a7f518cd834a546ceb350fd50ccb46adbe760ec1ce867b5ae","target":"graph","created_at":"2026-05-17T23:43:54Z","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 construct the crystalline comparison isomorphisms for proper smooth formal schemes over an absolutely unramified base. Such isomorphisms hold for \\'etale cohomology with nontrivial coefficients, as well as in the relative setting, i.e. for proper smooth morphisms of smooth formal schemes. The proof is formulated in terms of the pro-\\'etale topos introduced by Scholze, and uses his primitive comparison theorem for the structure sheaf on the pro-\\'etale site. Moreover, we need to prove the Poincar\\'e lemma for crystalline period sheaves, for which we adapt the idea of Andreatta and Iovita. An","authors_text":"Fucheng Tan, Jilong Tong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-19T15:47:14Z","title":"Crystalline comparison isomorphisms in $p$-adic Hodge theory: the absolutely unramified case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05543","kind":"arxiv","version":2},"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":"sha256:2e239b291dd89f8918eacf41ac60514ed78896554243178e2b9ca8f879716a88","target":"record","created_at":"2026-05-17T23:43:54Z","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":"84bc3355df52ddff2b4028550a502fb3cab79312178a0235820beff025d1f311","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-19T15:47:14Z","title_canon_sha256":"850e29fe5229901eadf921109534d6f666e39ae6bb8d96ede77cec0e99d612c8"},"schema_version":"1.0","source":{"id":"1510.05543","kind":"arxiv","version":2}},"canonical_sha256":"365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"365dcdc8c33851f47fdf028c0aa7783acb79e045ada98c18841c54287d7e00cc","first_computed_at":"2026-05-17T23:43:54.420570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:54.420570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"07AXYiPUo0jlh/fJcPb7zJBUlX1HsXeqrlufURdP1izBl4bOjr+LkQtLkisxvdkURJElykPfkIeOzMhxgwwdDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:54.421243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.05543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e239b291dd89f8918eacf41ac60514ed78896554243178e2b9ca8f879716a88","sha256:cd0d3387329ba99a7f518cd834a546ceb350fd50ccb46adbe760ec1ce867b5ae"],"state_sha256":"7aea07a0d47ebb5d671241469781dd9204c56dcc389a74f23bfff019d93e4f62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QJL9QZwGyQuQzKjGUpkfvKNrvOoPNlllj255HazCBGuDDETwUbm6MW6OxLGmJP/0erzgPR+l4bZmVDnQbWRQAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T05:35:33.333682Z","bundle_sha256":"0d16658045a503756e96212d7bcb44d87e009a0009dc69f29de62752dd90fab1"}}