{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GRICDVMWMFHISIHLJC25AYDHLL","short_pith_number":"pith:GRICDVMW","canonical_record":{"source":{"id":"1803.01463","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-05T02:37:48Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"3a6dcf01c314f6a97fd2f9b3f62cdbbfef873016426b98b33e33193b056cb1a6","abstract_canon_sha256":"89305f83f4addff391d91f3af1f3d7f16719e4bbc4b96b7da3f7ca5d9f838bf7"},"schema_version":"1.0"},"canonical_sha256":"345021d596614e8920eb48b5d060675af9ffcdfc2346efdc659bb44ac19b1d43","source":{"kind":"arxiv","id":"1803.01463","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01463","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01463v3","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01463","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"pith_short_12","alias_value":"GRICDVMWMFHI","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GRICDVMWMFHISIHL","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GRICDVMW","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GRICDVMWMFHISIHLJC25AYDHLL","target":"record","payload":{"canonical_record":{"source":{"id":"1803.01463","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-05T02:37:48Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"3a6dcf01c314f6a97fd2f9b3f62cdbbfef873016426b98b33e33193b056cb1a6","abstract_canon_sha256":"89305f83f4addff391d91f3af1f3d7f16719e4bbc4b96b7da3f7ca5d9f838bf7"},"schema_version":"1.0"},"canonical_sha256":"345021d596614e8920eb48b5d060675af9ffcdfc2346efdc659bb44ac19b1d43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:51.949802Z","signature_b64":"lPv4kctcvY2NYidyVCMtEz5Osk/chF8r65YYNc16dAbbfr3OREletWyrveq4/Qia4jnASWuf6WM/2ozSk+tiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"345021d596614e8920eb48b5d060675af9ffcdfc2346efdc659bb44ac19b1d43","last_reissued_at":"2026-05-18T00:10:51.949163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:51.949163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.01463","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":"2026-05-18T00:10:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"44zvSsVgm9vyMPVYWHNcEInLQ3AWyWwcixORk1OsYLO3pQZbWpFLcLhPhGGcIIXYdlN+5/OMwZ43dzm6ma+XBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:03:57.182300Z"},"content_sha256":"e77d81ad3d7d37d61b9ad1cd65e269ae2cfe960ced8f6cca4bd55146e665623f","schema_version":"1.0","event_id":"sha256:e77d81ad3d7d37d61b9ad1cd65e269ae2cfe960ced8f6cca4bd55146e665623f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GRICDVMWMFHISIHLJC25AYDHLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Motivic cohomology of fat points in Milnor range","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Jinhyun Park, Sinan \\\"Unver","submitted_at":"2018-03-05T02:37:48Z","abstract_excerpt":"We introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials $k[t]/(t^m)$ in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches via cycles with modulus. We compute the groups in the Milnor range when the base field is of characteristic $0$, and prove that they give the Milnor $K$-groups of $k[t]/(t^m)$, whose relative part is the sum of the absolute K\\\"ahler differential forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01463","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":"2026-05-18T00:10:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RUPUxsOR3945uKFtuICSHAg5j5Msoevi8VX+l2jIt9rrMer6gTgZGCuCstf/YI7E4UCv4YCgZHUBbgqI/LSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:03:57.182654Z"},"content_sha256":"33bf3bca0f134287d4823fef3e25cee4235803d04b99fdde322d860ee1babcfc","schema_version":"1.0","event_id":"sha256:33bf3bca0f134287d4823fef3e25cee4235803d04b99fdde322d860ee1babcfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GRICDVMWMFHISIHLJC25AYDHLL/bundle.json","state_url":"https://pith.science/pith/GRICDVMWMFHISIHLJC25AYDHLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GRICDVMWMFHISIHLJC25AYDHLL/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":"2026-06-25T08:03:57Z","links":{"resolver":"https://pith.science/pith/GRICDVMWMFHISIHLJC25AYDHLL","bundle":"https://pith.science/pith/GRICDVMWMFHISIHLJC25AYDHLL/bundle.json","state":"https://pith.science/pith/GRICDVMWMFHISIHLJC25AYDHLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GRICDVMWMFHISIHLJC25AYDHLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GRICDVMWMFHISIHLJC25AYDHLL","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":"89305f83f4addff391d91f3af1f3d7f16719e4bbc4b96b7da3f7ca5d9f838bf7","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-05T02:37:48Z","title_canon_sha256":"3a6dcf01c314f6a97fd2f9b3f62cdbbfef873016426b98b33e33193b056cb1a6"},"schema_version":"1.0","source":{"id":"1803.01463","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01463","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01463v3","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01463","created_at":"2026-05-18T00:10:51Z"},{"alias_kind":"pith_short_12","alias_value":"GRICDVMWMFHI","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GRICDVMWMFHISIHL","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GRICDVMW","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:33bf3bca0f134287d4823fef3e25cee4235803d04b99fdde322d860ee1babcfc","target":"graph","created_at":"2026-05-18T00:10:51Z","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 introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials $k[t]/(t^m)$ in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches via cycles with modulus. We compute the groups in the Milnor range when the base field is of characteristic $0$, and prove that they give the Milnor $K$-groups of $k[t]/(t^m)$, whose relative part is the sum of the absolute K\\\"ahler differential forms.","authors_text":"Jinhyun Park, Sinan \\\"Unver","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-05T02:37:48Z","title":"Motivic cohomology of fat points in Milnor range"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01463","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:e77d81ad3d7d37d61b9ad1cd65e269ae2cfe960ced8f6cca4bd55146e665623f","target":"record","created_at":"2026-05-18T00:10:51Z","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":"89305f83f4addff391d91f3af1f3d7f16719e4bbc4b96b7da3f7ca5d9f838bf7","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-05T02:37:48Z","title_canon_sha256":"3a6dcf01c314f6a97fd2f9b3f62cdbbfef873016426b98b33e33193b056cb1a6"},"schema_version":"1.0","source":{"id":"1803.01463","kind":"arxiv","version":3}},"canonical_sha256":"345021d596614e8920eb48b5d060675af9ffcdfc2346efdc659bb44ac19b1d43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"345021d596614e8920eb48b5d060675af9ffcdfc2346efdc659bb44ac19b1d43","first_computed_at":"2026-05-18T00:10:51.949163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:51.949163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPv4kctcvY2NYidyVCMtEz5Osk/chF8r65YYNc16dAbbfr3OREletWyrveq4/Qia4jnASWuf6WM/2ozSk+tiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:51.949802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01463","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e77d81ad3d7d37d61b9ad1cd65e269ae2cfe960ced8f6cca4bd55146e665623f","sha256:33bf3bca0f134287d4823fef3e25cee4235803d04b99fdde322d860ee1babcfc"],"state_sha256":"f48366f9115572574141946dc0d92c1334abb43ae590f6abc3d5b200097441da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yTZc3+Zk4gZsnpnzi0XF8KCvhKvZoTN5khSot3Hb4kld7YcOLSkmzLT5eFLnnYpuQhYbTWbMmh8hYGx81TgPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:03:57.184837Z","bundle_sha256":"929a37f42508eade910f080eb2ebd7189d7f8f78337fa26eb242f1b4c87589f4"}}