{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QFCW2FVGMETQS6WQPNHHDJWVFP","short_pith_number":"pith:QFCW2FVG","canonical_record":{"source":{"id":"1607.04975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-18T08:32:37Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"dce33606a06269e64872704f0f15a9ba70f141a53aa1977baaffb22510c331b4","abstract_canon_sha256":"2b0e0b222ed68a6ba9442078245b037155fad01ea3b7a13b529c658ab96af9e4"},"schema_version":"1.0"},"canonical_sha256":"81456d16a66127097ad07b4e71a6d52bddca77d9288f0101a14b159e8c0e7d29","source":{"kind":"arxiv","id":"1607.04975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04975","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04975v1","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04975","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"QFCW2FVGMETQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QFCW2FVGMETQS6WQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QFCW2FVG","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QFCW2FVGMETQS6WQPNHHDJWVFP","target":"record","payload":{"canonical_record":{"source":{"id":"1607.04975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-18T08:32:37Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"dce33606a06269e64872704f0f15a9ba70f141a53aa1977baaffb22510c331b4","abstract_canon_sha256":"2b0e0b222ed68a6ba9442078245b037155fad01ea3b7a13b529c658ab96af9e4"},"schema_version":"1.0"},"canonical_sha256":"81456d16a66127097ad07b4e71a6d52bddca77d9288f0101a14b159e8c0e7d29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:56.191406Z","signature_b64":"In40/33GsMx/B9gkcMTIV4poYR3D5pJVHNyrALwUedvKJ4ozn+61d/TCRn0bFu7nBsExE2aUovJNDuNosbIIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81456d16a66127097ad07b4e71a6d52bddca77d9288f0101a14b159e8c0e7d29","last_reissued_at":"2026-05-18T01:10:56.190955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:56.190955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.04975","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":"2026-05-18T01:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mmBqtH4EDZy/XD3yMC+MI/2D9w6H+yVwB4oe7fJDi6DkthU1JPpFEC7sCQBkZVb/EO6i6167RMxCQz3ShBNWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:20:17.221729Z"},"content_sha256":"5aec0371ab269f2870fa0bfa5d098f3f0552614731ae55bb93b2e2c9ff7d1b66","schema_version":"1.0","event_id":"sha256:5aec0371ab269f2870fa0bfa5d098f3f0552614731ae55bb93b2e2c9ff7d1b66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QFCW2FVGMETQS6WQPNHHDJWVFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On syntomic regulators I: constructions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.KT"],"primary_cat":"math.NT","authors_text":"Wieslawa Niziol","submitted_at":"2016-07-18T08:32:37Z","abstract_excerpt":"We show that classical Chern classes from higher ($p$-adic) $K$-theory to syntomic cohomology extend to logarithmic syntomic cohomology. These Chern classes are compatible -- in a suitable sense -- with addition, products, and $\\lambda$-operations. They are also compatible with the canonical Gysin sequences and, via period maps, with logarithmic \\'etale Chern classes. Moreover, they induce logarithmic crystalline Chern classes. This uses as a critical new ingredient the recent comparison of syntomic cohomology with $p$-adic nearby cycles and $p$-adic motivic cohomology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04975","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":"2026-05-18T01:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RWPsngv/OqPNPvBHIXNHnc/uucR6/4BM+aYjYY2tZ7WW/UWx2MGyTtOdwYFyoMW4UYVz19x1jR0VxxBWWCL7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:20:17.222136Z"},"content_sha256":"d8274a413f693c6187ede3c9ac06e109ee5ca224c115e94fe801f0db714d65ab","schema_version":"1.0","event_id":"sha256:d8274a413f693c6187ede3c9ac06e109ee5ca224c115e94fe801f0db714d65ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/bundle.json","state_url":"https://pith.science/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/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":"2026-05-26T19:20:17Z","links":{"resolver":"https://pith.science/pith/QFCW2FVGMETQS6WQPNHHDJWVFP","bundle":"https://pith.science/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/bundle.json","state":"https://pith.science/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QFCW2FVGMETQS6WQPNHHDJWVFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QFCW2FVGMETQS6WQPNHHDJWVFP","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":"2b0e0b222ed68a6ba9442078245b037155fad01ea3b7a13b529c658ab96af9e4","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-18T08:32:37Z","title_canon_sha256":"dce33606a06269e64872704f0f15a9ba70f141a53aa1977baaffb22510c331b4"},"schema_version":"1.0","source":{"id":"1607.04975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04975","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04975v1","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04975","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"QFCW2FVGMETQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QFCW2FVGMETQS6WQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QFCW2FVG","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:d8274a413f693c6187ede3c9ac06e109ee5ca224c115e94fe801f0db714d65ab","target":"graph","created_at":"2026-05-18T01:10:56Z","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 show that classical Chern classes from higher ($p$-adic) $K$-theory to syntomic cohomology extend to logarithmic syntomic cohomology. These Chern classes are compatible -- in a suitable sense -- with addition, products, and $\\lambda$-operations. They are also compatible with the canonical Gysin sequences and, via period maps, with logarithmic \\'etale Chern classes. Moreover, they induce logarithmic crystalline Chern classes. This uses as a critical new ingredient the recent comparison of syntomic cohomology with $p$-adic nearby cycles and $p$-adic motivic cohomology.","authors_text":"Wieslawa Niziol","cross_cats":["math.AG","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-18T08:32:37Z","title":"On syntomic regulators I: constructions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04975","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":"sha256:5aec0371ab269f2870fa0bfa5d098f3f0552614731ae55bb93b2e2c9ff7d1b66","target":"record","created_at":"2026-05-18T01:10:56Z","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":"2b0e0b222ed68a6ba9442078245b037155fad01ea3b7a13b529c658ab96af9e4","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-18T08:32:37Z","title_canon_sha256":"dce33606a06269e64872704f0f15a9ba70f141a53aa1977baaffb22510c331b4"},"schema_version":"1.0","source":{"id":"1607.04975","kind":"arxiv","version":1}},"canonical_sha256":"81456d16a66127097ad07b4e71a6d52bddca77d9288f0101a14b159e8c0e7d29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81456d16a66127097ad07b4e71a6d52bddca77d9288f0101a14b159e8c0e7d29","first_computed_at":"2026-05-18T01:10:56.190955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:56.190955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"In40/33GsMx/B9gkcMTIV4poYR3D5pJVHNyrALwUedvKJ4ozn+61d/TCRn0bFu7nBsExE2aUovJNDuNosbIIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:56.191406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aec0371ab269f2870fa0bfa5d098f3f0552614731ae55bb93b2e2c9ff7d1b66","sha256:d8274a413f693c6187ede3c9ac06e109ee5ca224c115e94fe801f0db714d65ab"],"state_sha256":"7c6ce38cc0d7c2f8ee911c5d123f5859fba348e78c7121ec1df599b8d15d0b46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V55c7ka8RlTlJSDT6GHvvSd1RryqjfyIM7PzXEy97IofrXI4LI1LdncXBMoutuQ7xZlIfyBm8zySQqn4K0C7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:20:17.225227Z","bundle_sha256":"47fe3aaa914851a088dffb5bd6a704d87b205778ede5cd55b8563c4b9e41d5cf"}}