{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZMUZIZIWXQ3IMJXPMJ4CHVUGRW","short_pith_number":"pith:ZMUZIZIW","canonical_record":{"source":{"id":"1311.1848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-08T00:00:48Z","cross_cats_sorted":[],"title_canon_sha256":"de1492298d55641b502e96c0b9caf15dc843a751ca6526c056b660635c1bb1b9","abstract_canon_sha256":"1aad3d11d166f11586da37a3c841d7e5927d1910e49a346219cc1cdc75d348ae"},"schema_version":"1.0"},"canonical_sha256":"cb29946516bc368626ef627823d6868d8d29258e3ffc81f66974e2a74327e0d6","source":{"kind":"arxiv","id":"1311.1848","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1848","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1848v1","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1848","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZMUZIZIWXQ3I","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZMUZIZIWXQ3IMJXP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZMUZIZIW","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZMUZIZIWXQ3IMJXPMJ4CHVUGRW","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-08T00:00:48Z","cross_cats_sorted":[],"title_canon_sha256":"de1492298d55641b502e96c0b9caf15dc843a751ca6526c056b660635c1bb1b9","abstract_canon_sha256":"1aad3d11d166f11586da37a3c841d7e5927d1910e49a346219cc1cdc75d348ae"},"schema_version":"1.0"},"canonical_sha256":"cb29946516bc368626ef627823d6868d8d29258e3ffc81f66974e2a74327e0d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:52.753363Z","signature_b64":"vg4Xo4J0fFqJciGqcYIUy/YNWeaixwbViYU8ZP4X/hN/VHNXj49LdYpYnSqJd1dbOOAnlt1a3KNaWwxqvTpRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb29946516bc368626ef627823d6868d8d29258e3ffc81f66974e2a74327e0d6","last_reissued_at":"2026-05-17T23:53:52.752675Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:52.752675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1848","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":"2026-05-17T23:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"knWVKth9Dvay2o3hmq8Uvf/lWEw1V+/1iC/0QMZYu29cTbpQj0in9th8eeM93dhv0FrioxW1yLSDpnTSn7QTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:04:13.209674Z"},"content_sha256":"c22959945200e025d245159891ed42dd279e14c502bf6f37faba7d09e8bae210","schema_version":"1.0","event_id":"sha256:c22959945200e025d245159891ed42dd279e14c502bf6f37faba7d09e8bae210"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZMUZIZIWXQ3IMJXPMJ4CHVUGRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the admissibility of certain local system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Masahiko Yoshinaga, Michele Torielli, Shaheen Nazir","submitted_at":"2013-11-08T00:00:48Z","abstract_excerpt":"A rank one local system on the complement of a hyperplane arrangement is said to be admissible if it satisfies certain non-positivity condition at every resonant edges. It is known that the cohomology of admissible local system can be computed combinatorially. In this paper, we study the structure of the set of all non-admissible local systems in the character torus. We prove that the set of non-admissible local systems forms a union of subtori. The relations with characteristic varieties are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1848","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":"2026-05-17T23:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9tyrfcFiCMBrTPlPCxEMuF8SpBtSvNzsiXRYnHNozWyCXNlZXePdF+t7ewt56bol/ssJwta25gwVT7nQ5UqBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:04:13.210010Z"},"content_sha256":"885af09e56268e9daea3e87ee21770ad4133bb74769954fe45211a5a0a0692ab","schema_version":"1.0","event_id":"sha256:885af09e56268e9daea3e87ee21770ad4133bb74769954fe45211a5a0a0692ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/bundle.json","state_url":"https://pith.science/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/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":"2026-06-22T16:04:13Z","links":{"resolver":"https://pith.science/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW","bundle":"https://pith.science/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/bundle.json","state":"https://pith.science/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZMUZIZIWXQ3IMJXPMJ4CHVUGRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZMUZIZIWXQ3IMJXPMJ4CHVUGRW","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":"1aad3d11d166f11586da37a3c841d7e5927d1910e49a346219cc1cdc75d348ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-08T00:00:48Z","title_canon_sha256":"de1492298d55641b502e96c0b9caf15dc843a751ca6526c056b660635c1bb1b9"},"schema_version":"1.0","source":{"id":"1311.1848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1848","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1848v1","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1848","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZMUZIZIWXQ3I","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZMUZIZIWXQ3IMJXP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZMUZIZIW","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:885af09e56268e9daea3e87ee21770ad4133bb74769954fe45211a5a0a0692ab","target":"graph","created_at":"2026-05-17T23:53:52Z","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":"A rank one local system on the complement of a hyperplane arrangement is said to be admissible if it satisfies certain non-positivity condition at every resonant edges. It is known that the cohomology of admissible local system can be computed combinatorially. In this paper, we study the structure of the set of all non-admissible local systems in the character torus. We prove that the set of non-admissible local systems forms a union of subtori. The relations with characteristic varieties are also discussed.","authors_text":"Masahiko Yoshinaga, Michele Torielli, Shaheen Nazir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-08T00:00:48Z","title":"On the admissibility of certain local system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1848","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:c22959945200e025d245159891ed42dd279e14c502bf6f37faba7d09e8bae210","target":"record","created_at":"2026-05-17T23:53:52Z","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":"1aad3d11d166f11586da37a3c841d7e5927d1910e49a346219cc1cdc75d348ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-08T00:00:48Z","title_canon_sha256":"de1492298d55641b502e96c0b9caf15dc843a751ca6526c056b660635c1bb1b9"},"schema_version":"1.0","source":{"id":"1311.1848","kind":"arxiv","version":1}},"canonical_sha256":"cb29946516bc368626ef627823d6868d8d29258e3ffc81f66974e2a74327e0d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb29946516bc368626ef627823d6868d8d29258e3ffc81f66974e2a74327e0d6","first_computed_at":"2026-05-17T23:53:52.752675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:52.752675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vg4Xo4J0fFqJciGqcYIUy/YNWeaixwbViYU8ZP4X/hN/VHNXj49LdYpYnSqJd1dbOOAnlt1a3KNaWwxqvTpRAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:52.753363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c22959945200e025d245159891ed42dd279e14c502bf6f37faba7d09e8bae210","sha256:885af09e56268e9daea3e87ee21770ad4133bb74769954fe45211a5a0a0692ab"],"state_sha256":"e40b5d02c8f065f38d7ce7131eb096d8310a5175d8eb2a549fde75d4c68d9e02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"98CFLRJVK1cbqzVyniqjyev1M/Q3UbG84WKAV51a6UKIDMK8+66t935VWn2/di07hqycYlSRPi3q9WuevXF6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:04:13.211905Z","bundle_sha256":"8d72bd0d36b792b2a4c90738a95760e29bbac46bfff5e417ea753e30bd63faac"}}