{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LLPWRTJNOGG3VR52UZJRSV3RH3","short_pith_number":"pith:LLPWRTJN","canonical_record":{"source":{"id":"1607.01493","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-06T07:01:07Z","cross_cats_sorted":[],"title_canon_sha256":"601419afc311dcad35185c85059be48ef79c62fa7b0ab8abb71168e87ad3d94f","abstract_canon_sha256":"e0227f21b9555031fd3a8fff4fc4f345f3d1d364ca34f11697d22653e528d403"},"schema_version":"1.0"},"canonical_sha256":"5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516","source":{"kind":"arxiv","id":"1607.01493","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01493","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01493v2","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01493","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"LLPWRTJNOGG3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LLPWRTJNOGG3VR52","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LLPWRTJN","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LLPWRTJNOGG3VR52UZJRSV3RH3","target":"record","payload":{"canonical_record":{"source":{"id":"1607.01493","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-06T07:01:07Z","cross_cats_sorted":[],"title_canon_sha256":"601419afc311dcad35185c85059be48ef79c62fa7b0ab8abb71168e87ad3d94f","abstract_canon_sha256":"e0227f21b9555031fd3a8fff4fc4f345f3d1d364ca34f11697d22653e528d403"},"schema_version":"1.0"},"canonical_sha256":"5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:14.520119Z","signature_b64":"xgYa48KuT/iHduj7Lpv4+JQMC3YiHWOY8kE/A/XfWkgHX06pSJ/bOMrXJ3GFRIfDD91j6YnTIr9Ljm+KSSlDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516","last_reissued_at":"2026-05-18T00:23:14.519430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:14.519430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.01493","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":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pr6lxeNLN0WlE3Axe1AbjGl7isXRFMJOIGRO3dGB0UeBk4N42bBqH+TsMctYbVmCBzWLD8xmmWmpjBw43AxuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:06:18.034919Z"},"content_sha256":"74f5c583ab5a1e82c285f7435cbd392595eefa6b3162d4269aad765d8fff9dbf","schema_version":"1.0","event_id":"sha256:74f5c583ab5a1e82c285f7435cbd392595eefa6b3162d4269aad765d8fff9dbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LLPWRTJNOGG3VR52UZJRSV3RH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Torsion in the 0-cycle group with modulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Amalendu Krishna","submitted_at":"2016-07-06T07:01:07Z","abstract_excerpt":"We show, for a smooth projective variety $X$ over an algebraically closed field $k$ with an effective Cartier divisor $D$, that the torsion subgroup $\\CH_0(X|D)\\{l\\}$ can be described in terms of a relative {\\'e}tale cohomology for any prime $l \\neq p = {\\rm char}(k)$. This extends a classical result of Bloch, on the torsion in the ordinary Chow group, to the modulus setting. We prove the Roitman torsion theorem (including $p$-torsion) for $\\CH_0(X|D)$ when $D$ is reduced. We deduce applications to the problem of invariance of the prime-to-$p$ torsion in $\\CH_0(X|D)$ under an infinitesimal ext"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01493","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":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twnYzfyrYpaIataxO+tyKs8elKpUSBeJsdvocLda4Yrqbfp3UwY2ax2QLcVd9ZWbtXpuwC7impHh62kWZ7CxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:06:18.035265Z"},"content_sha256":"dc3f9d0e5a350ebccd2f36bb9899fe32f6b03a5253bbf6aa7d6e5d078355bc70","schema_version":"1.0","event_id":"sha256:dc3f9d0e5a350ebccd2f36bb9899fe32f6b03a5253bbf6aa7d6e5d078355bc70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/bundle.json","state_url":"https://pith.science/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/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":"2026-06-21T22:06:18Z","links":{"resolver":"https://pith.science/pith/LLPWRTJNOGG3VR52UZJRSV3RH3","bundle":"https://pith.science/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/bundle.json","state":"https://pith.science/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLPWRTJNOGG3VR52UZJRSV3RH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LLPWRTJNOGG3VR52UZJRSV3RH3","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":"e0227f21b9555031fd3a8fff4fc4f345f3d1d364ca34f11697d22653e528d403","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-06T07:01:07Z","title_canon_sha256":"601419afc311dcad35185c85059be48ef79c62fa7b0ab8abb71168e87ad3d94f"},"schema_version":"1.0","source":{"id":"1607.01493","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01493","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01493v2","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01493","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"LLPWRTJNOGG3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LLPWRTJNOGG3VR52","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LLPWRTJN","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:dc3f9d0e5a350ebccd2f36bb9899fe32f6b03a5253bbf6aa7d6e5d078355bc70","target":"graph","created_at":"2026-05-18T00:23:14Z","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, for a smooth projective variety $X$ over an algebraically closed field $k$ with an effective Cartier divisor $D$, that the torsion subgroup $\\CH_0(X|D)\\{l\\}$ can be described in terms of a relative {\\'e}tale cohomology for any prime $l \\neq p = {\\rm char}(k)$. This extends a classical result of Bloch, on the torsion in the ordinary Chow group, to the modulus setting. We prove the Roitman torsion theorem (including $p$-torsion) for $\\CH_0(X|D)$ when $D$ is reduced. We deduce applications to the problem of invariance of the prime-to-$p$ torsion in $\\CH_0(X|D)$ under an infinitesimal ext","authors_text":"Amalendu Krishna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-06T07:01:07Z","title":"Torsion in the 0-cycle group with modulus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01493","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":"sha256:74f5c583ab5a1e82c285f7435cbd392595eefa6b3162d4269aad765d8fff9dbf","target":"record","created_at":"2026-05-18T00:23:14Z","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":"e0227f21b9555031fd3a8fff4fc4f345f3d1d364ca34f11697d22653e528d403","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-06T07:01:07Z","title_canon_sha256":"601419afc311dcad35185c85059be48ef79c62fa7b0ab8abb71168e87ad3d94f"},"schema_version":"1.0","source":{"id":"1607.01493","kind":"arxiv","version":2}},"canonical_sha256":"5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516","first_computed_at":"2026-05-18T00:23:14.519430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:14.519430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xgYa48KuT/iHduj7Lpv4+JQMC3YiHWOY8kE/A/XfWkgHX06pSJ/bOMrXJ3GFRIfDD91j6YnTIr9Ljm+KSSlDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:14.520119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01493","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74f5c583ab5a1e82c285f7435cbd392595eefa6b3162d4269aad765d8fff9dbf","sha256:dc3f9d0e5a350ebccd2f36bb9899fe32f6b03a5253bbf6aa7d6e5d078355bc70"],"state_sha256":"f3b753d23865d511073af7fb3dfa80d223ff2437df5de978a8a8c7568015afa1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9detCiWshXOylVMn5VvGg/lq6QiMt52lrPCy4M0OCK5h96F2ymBGuDbattamu6U09rQTmXV/1hPfbDNs33fCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T22:06:18.037257Z","bundle_sha256":"73ca6cc01812cfc7d01158f89b3683565635edaed803632c557f57fb78031fd6"}}