{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MWJ4RBVSUQ3TGK2VLX5LMTPULT","short_pith_number":"pith:MWJ4RBVS","canonical_record":{"source":{"id":"1002.3280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-02-17T14:39:03Z","cross_cats_sorted":[],"title_canon_sha256":"1badc121a4dd18feb1aad7351e1632b9f2b261e87506350cb9c5a05e2dd4e275","abstract_canon_sha256":"be6d7be49f4d4ad3c38cb8bec0cb5f626b43798167b11cc9304c697d7f80dbf2"},"schema_version":"1.0"},"canonical_sha256":"6593c886b2a437332b555dfab64df45cd41ab312012fd382732ea7fe559fc1df","source":{"kind":"arxiv","id":"1002.3280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3280","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3280v1","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3280","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"MWJ4RBVSUQ3T","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MWJ4RBVSUQ3TGK2V","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MWJ4RBVS","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MWJ4RBVSUQ3TGK2VLX5LMTPULT","target":"record","payload":{"canonical_record":{"source":{"id":"1002.3280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-02-17T14:39:03Z","cross_cats_sorted":[],"title_canon_sha256":"1badc121a4dd18feb1aad7351e1632b9f2b261e87506350cb9c5a05e2dd4e275","abstract_canon_sha256":"be6d7be49f4d4ad3c38cb8bec0cb5f626b43798167b11cc9304c697d7f80dbf2"},"schema_version":"1.0"},"canonical_sha256":"6593c886b2a437332b555dfab64df45cd41ab312012fd382732ea7fe559fc1df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:35.287519Z","signature_b64":"oOXSrHSUeOkqjthcftAyxMrnprlrvpHdRGxO+RRcwKDGxgpG+lhxWhgqVcHmN8+SRLUgJhPTehtSA5NgGzvABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6593c886b2a437332b555dfab64df45cd41ab312012fd382732ea7fe559fc1df","last_reissued_at":"2026-05-18T04:32:35.286840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:35.286840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.3280","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":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NuI5qGw7ZOs5iWBoH3yJiFIRYlQ0JTd7JeJbA0922DBsVIqNKOifat0ZpdqmTl9Gucd9nED8Vf9EWNCG5rCUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:59:01.124542Z"},"content_sha256":"82bad404fa3fd9cbd90afc18cf08d8e49fbc851ed7eec838ce87d198723ebe8d","schema_version":"1.0","event_id":"sha256:82bad404fa3fd9cbd90afc18cf08d8e49fbc851ed7eec838ce87d198723ebe8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MWJ4RBVSUQ3TGK2VLX5LMTPULT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wild Pfister forms over Henselian fields, K-theory, and conic division algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Holger P. Petersson, Skip Garibaldi","submitted_at":"2010-02-17T14:39:03Z","abstract_excerpt":"The epicenter of this paper concerns Pfister quadratic forms over a field $F$ with a Henselian discrete valuation. All characteristics are considered but we focus on the most complicated case where the residue field has characteristic 2 but $F$ does not. We also prove results about round quadratic forms, composition algebras, generalizations of composition algebras we call conic algebras, and central simple associative symbol algebras. Finally we give relationships between these objects and Kato's filtration on the Milnor $K$-groups of $F$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3280","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":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5R/XrQTjo2Zk8FoQLQndCuoVMs6oGOhTk+UfJKFx1g88/IKlEjg7QtGUPABMTEeBgMMvHD7NF1dvtmbuaMLBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:59:01.124937Z"},"content_sha256":"7671e5ae9029cf01ada91bbbb076f84b4f881337770af70632202dd01e81104f","schema_version":"1.0","event_id":"sha256:7671e5ae9029cf01ada91bbbb076f84b4f881337770af70632202dd01e81104f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/bundle.json","state_url":"https://pith.science/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/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":"2026-06-08T11:59:01Z","links":{"resolver":"https://pith.science/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT","bundle":"https://pith.science/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/bundle.json","state":"https://pith.science/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MWJ4RBVSUQ3TGK2VLX5LMTPULT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MWJ4RBVSUQ3TGK2VLX5LMTPULT","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":"be6d7be49f4d4ad3c38cb8bec0cb5f626b43798167b11cc9304c697d7f80dbf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-02-17T14:39:03Z","title_canon_sha256":"1badc121a4dd18feb1aad7351e1632b9f2b261e87506350cb9c5a05e2dd4e275"},"schema_version":"1.0","source":{"id":"1002.3280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3280","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3280v1","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3280","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"MWJ4RBVSUQ3T","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MWJ4RBVSUQ3TGK2V","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MWJ4RBVS","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:7671e5ae9029cf01ada91bbbb076f84b4f881337770af70632202dd01e81104f","target":"graph","created_at":"2026-05-18T04:32:35Z","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":"The epicenter of this paper concerns Pfister quadratic forms over a field $F$ with a Henselian discrete valuation. All characteristics are considered but we focus on the most complicated case where the residue field has characteristic 2 but $F$ does not. We also prove results about round quadratic forms, composition algebras, generalizations of composition algebras we call conic algebras, and central simple associative symbol algebras. Finally we give relationships between these objects and Kato's filtration on the Milnor $K$-groups of $F$.","authors_text":"Holger P. Petersson, Skip Garibaldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-02-17T14:39:03Z","title":"Wild Pfister forms over Henselian fields, K-theory, and conic division algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3280","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":"sha256:82bad404fa3fd9cbd90afc18cf08d8e49fbc851ed7eec838ce87d198723ebe8d","target":"record","created_at":"2026-05-18T04:32:35Z","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":"be6d7be49f4d4ad3c38cb8bec0cb5f626b43798167b11cc9304c697d7f80dbf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-02-17T14:39:03Z","title_canon_sha256":"1badc121a4dd18feb1aad7351e1632b9f2b261e87506350cb9c5a05e2dd4e275"},"schema_version":"1.0","source":{"id":"1002.3280","kind":"arxiv","version":1}},"canonical_sha256":"6593c886b2a437332b555dfab64df45cd41ab312012fd382732ea7fe559fc1df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6593c886b2a437332b555dfab64df45cd41ab312012fd382732ea7fe559fc1df","first_computed_at":"2026-05-18T04:32:35.286840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:35.286840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOXSrHSUeOkqjthcftAyxMrnprlrvpHdRGxO+RRcwKDGxgpG+lhxWhgqVcHmN8+SRLUgJhPTehtSA5NgGzvABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:35.287519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.3280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82bad404fa3fd9cbd90afc18cf08d8e49fbc851ed7eec838ce87d198723ebe8d","sha256:7671e5ae9029cf01ada91bbbb076f84b4f881337770af70632202dd01e81104f"],"state_sha256":"9be36bcb30c4dea1175fe15123265e1bfc49c7271734cbdf2c490b441b980591"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"te/dfSPr0+/Be7thVdaUi0B38rdw2Q3fYUHHrin6Y3mK1rW02C+VgziypDg4Iqt88fASv6aYNTHAuKJ/lS8nDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T11:59:01.127866Z","bundle_sha256":"c7aeafed10c05dda5b453dfa8c27af42e113c446cacbea7f84f4492eedcc591b"}}