{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XYA3ETYEVZRHMRODJXIO5OUSGI","short_pith_number":"pith:XYA3ETYE","canonical_record":{"source":{"id":"1405.5355","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-21T10:05:55Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"1a0ba23d4d89ad6edafd574026511194cb5eab3ff7da17bd5fb5546f468002d7","abstract_canon_sha256":"9b7084917f91cc6077253d87814c5cc299c27127532278b6aa625530ff0791be"},"schema_version":"1.0"},"canonical_sha256":"be01b24f04ae627645c34dd0eeba923236e5bcc4de233fa41cb404b17dd9b7c9","source":{"kind":"arxiv","id":"1405.5355","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5355","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5355v4","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5355","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"XYA3ETYEVZRH","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XYA3ETYEVZRHMROD","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XYA3ETYE","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XYA3ETYEVZRHMRODJXIO5OUSGI","target":"record","payload":{"canonical_record":{"source":{"id":"1405.5355","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-21T10:05:55Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"1a0ba23d4d89ad6edafd574026511194cb5eab3ff7da17bd5fb5546f468002d7","abstract_canon_sha256":"9b7084917f91cc6077253d87814c5cc299c27127532278b6aa625530ff0791be"},"schema_version":"1.0"},"canonical_sha256":"be01b24f04ae627645c34dd0eeba923236e5bcc4de233fa41cb404b17dd9b7c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:22.796597Z","signature_b64":"k74o/JVq6i8H6mACNPafm9kn+BRlOk0Y/QDS3vxWAGboSLJrm/vAEfVCbjDR3LG+eK8J5Ootl7J1AQr9T6p1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be01b24f04ae627645c34dd0eeba923236e5bcc4de233fa41cb404b17dd9b7c9","last_reissued_at":"2026-05-18T00:45:22.796028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:22.796028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.5355","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"31kEHNd5cTe+CK6zsdiJvJR7hhZzrWfw7OYGjLNCVmWE7vdY3pBzMqI5zdYrnQ9kSgbeQ3JtEFikpwJxzDYmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:30:50.298858Z"},"content_sha256":"5eecbf854a158f08ff4daa276a6c5f33179a26de1cacf588722f8f0a5dff725c","schema_version":"1.0","event_id":"sha256:5eecbf854a158f08ff4daa276a6c5f33179a26de1cacf588722f8f0a5dff725c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XYA3ETYEVZRHMRODJXIO5OUSGI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formulas for monodromy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Alan Stapledon","submitted_at":"2014-05-21T10:05:55Z","abstract_excerpt":"Given a family $X$ of complex varieties degenerating over a punctured disc, one is interested in computing related invariants called the motivic nearby fiber and the refined limit mixed Hodge numbers, both of which contain information about the induced action of monodromy on the cohomology of a fiber of $X$. Our first main result is that the motivic nearby fiber of $X$ can be computed by first stratifying $X$ into locally closed subvarieties that are non-degenerate in the sense of Tevelev, and then applying an explicit formula on each piece of the stratification that involves tropical geometry"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5355","kind":"arxiv","version":4},"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":"2026-05-18T00:45:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+z226G/v98jI9hfjPQWw0b8iBz9wScsl1UhI9Lq0SbVncx7fZDPSGxBuGkqtkULvG7QazOuOlAVPNN9HvHx0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:30:50.299549Z"},"content_sha256":"49e4bc77f01fb24f9f0c7cb28139637f249719447c115ce080d85d34b3b5e6ee","schema_version":"1.0","event_id":"sha256:49e4bc77f01fb24f9f0c7cb28139637f249719447c115ce080d85d34b3b5e6ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/bundle.json","state_url":"https://pith.science/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/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":"2026-05-25T20:30:50Z","links":{"resolver":"https://pith.science/pith/XYA3ETYEVZRHMRODJXIO5OUSGI","bundle":"https://pith.science/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/bundle.json","state":"https://pith.science/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYA3ETYEVZRHMRODJXIO5OUSGI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XYA3ETYEVZRHMRODJXIO5OUSGI","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":"9b7084917f91cc6077253d87814c5cc299c27127532278b6aa625530ff0791be","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-21T10:05:55Z","title_canon_sha256":"1a0ba23d4d89ad6edafd574026511194cb5eab3ff7da17bd5fb5546f468002d7"},"schema_version":"1.0","source":{"id":"1405.5355","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5355","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5355v4","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5355","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"XYA3ETYEVZRH","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XYA3ETYEVZRHMROD","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XYA3ETYE","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:49e4bc77f01fb24f9f0c7cb28139637f249719447c115ce080d85d34b3b5e6ee","target":"graph","created_at":"2026-05-18T00:45:22Z","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":"Given a family $X$ of complex varieties degenerating over a punctured disc, one is interested in computing related invariants called the motivic nearby fiber and the refined limit mixed Hodge numbers, both of which contain information about the induced action of monodromy on the cohomology of a fiber of $X$. Our first main result is that the motivic nearby fiber of $X$ can be computed by first stratifying $X$ into locally closed subvarieties that are non-degenerate in the sense of Tevelev, and then applying an explicit formula on each piece of the stratification that involves tropical geometry","authors_text":"Alan Stapledon","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-21T10:05:55Z","title":"Formulas for monodromy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5355","kind":"arxiv","version":4},"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":"sha256:5eecbf854a158f08ff4daa276a6c5f33179a26de1cacf588722f8f0a5dff725c","target":"record","created_at":"2026-05-18T00:45:22Z","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":"9b7084917f91cc6077253d87814c5cc299c27127532278b6aa625530ff0791be","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-21T10:05:55Z","title_canon_sha256":"1a0ba23d4d89ad6edafd574026511194cb5eab3ff7da17bd5fb5546f468002d7"},"schema_version":"1.0","source":{"id":"1405.5355","kind":"arxiv","version":4}},"canonical_sha256":"be01b24f04ae627645c34dd0eeba923236e5bcc4de233fa41cb404b17dd9b7c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be01b24f04ae627645c34dd0eeba923236e5bcc4de233fa41cb404b17dd9b7c9","first_computed_at":"2026-05-18T00:45:22.796028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:22.796028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k74o/JVq6i8H6mACNPafm9kn+BRlOk0Y/QDS3vxWAGboSLJrm/vAEfVCbjDR3LG+eK8J5Ootl7J1AQr9T6p1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:22.796597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5355","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eecbf854a158f08ff4daa276a6c5f33179a26de1cacf588722f8f0a5dff725c","sha256:49e4bc77f01fb24f9f0c7cb28139637f249719447c115ce080d85d34b3b5e6ee"],"state_sha256":"7c025effdc3ec606f29e3f2a2710d0fbd1cc8b3373ea4866879daece4cdd620d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sxEOktnP++DdcTdICM04CD5i5pPhC/GBHmLPbKo6tUZJHoEjEJWqqVWRwRfBHQsVEWco3gSGz4lbSIqB6ZYuAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:30:50.302995Z","bundle_sha256":"6f3cef8f2a5cf3f0bd0fccfa67df06f764f87be14ee95e1465bce102e4d38b20"}}