{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LBL7LEYTIJCNTR7CHFVTYG25GL","short_pith_number":"pith:LBL7LEYT","canonical_record":{"source":{"id":"1106.3092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-15T20:23:01Z","cross_cats_sorted":[],"title_canon_sha256":"054b4228c6d4865a072120b3f8755d11b9478c95eb491d3a4968c05f2cdf7356","abstract_canon_sha256":"7cb4a6ab2c491475ae820eebfa91fe3ca5f17085e477880867dda0dc4cc7b9e0"},"schema_version":"1.0"},"canonical_sha256":"5857f593134244d9c7e2396b3c1b5d32d73d296556156bd48f355a32ee28fdaa","source":{"kind":"arxiv","id":"1106.3092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3092","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3092v1","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3092","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"pith_short_12","alias_value":"LBL7LEYTIJCN","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LBL7LEYTIJCNTR7C","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LBL7LEYT","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LBL7LEYTIJCNTR7CHFVTYG25GL","target":"record","payload":{"canonical_record":{"source":{"id":"1106.3092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-15T20:23:01Z","cross_cats_sorted":[],"title_canon_sha256":"054b4228c6d4865a072120b3f8755d11b9478c95eb491d3a4968c05f2cdf7356","abstract_canon_sha256":"7cb4a6ab2c491475ae820eebfa91fe3ca5f17085e477880867dda0dc4cc7b9e0"},"schema_version":"1.0"},"canonical_sha256":"5857f593134244d9c7e2396b3c1b5d32d73d296556156bd48f355a32ee28fdaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:54.261688Z","signature_b64":"BKEu+Da5LpwmEG28Xvs1WYjNqJE9g8nPEcYbXrDHFN3StVafBJ04vHpqrjYr3h9DSrYLaKsxN74UJxZBLR0oBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5857f593134244d9c7e2396b3c1b5d32d73d296556156bd48f355a32ee28fdaa","last_reissued_at":"2026-05-18T04:19:54.261095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:54.261095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.3092","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":"2026-05-18T04:19:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9oO6KExXqRr7d1go0EwCnwxDdbys95SGI5xeydsnQyT30qq6YoKuusO8bMqcCBo0Q+t/WaMqAVTwiQZPZefSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:41:24.224820Z"},"content_sha256":"ef79765b0a9d196a24346f7c434d24970d69052cbc5d29e98dea155e9db1b7f2","schema_version":"1.0","event_id":"sha256:ef79765b0a9d196a24346f7c434d24970d69052cbc5d29e98dea155e9db1b7f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LBL7LEYTIJCNTR7CHFVTYG25GL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degenerating Riemann surfaces and the Quillen metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dennis Eriksson","submitted_at":"2011-06-15T20:23:01Z","abstract_excerpt":"The degeneration of the Quillen metric for a one-parameter family of Riemann surfaces has been studied by Bismut-Bost and Yoshikawa. In this article we propose a more geometric point of view using Deligne's Riemann-Roch theorem. We obtain an interpretation of the singular part of the metric as a discriminant and the continuous part as a degeneration of the metric on Deligne products, which gives an asymptotic development involving the monodromy eigenvalues. This generalizes the results of Bismut-Bost and is a version of Yoshikawa's results on the degeneration of the Quillen metric for general "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3092","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":"2026-05-18T04:19:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zkngKbYR7SseOgTPCl6YljDK9/ur5buzX+vdqfCcb+aGiEv6TmuuyW9ZS1UgH5AoiKSfcfwyV7lbzVbXi3ftBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:41:24.225160Z"},"content_sha256":"026387fd93f6057930231dc896f39810a560fcb87e35d23b1b9f799605d1988e","schema_version":"1.0","event_id":"sha256:026387fd93f6057930231dc896f39810a560fcb87e35d23b1b9f799605d1988e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/bundle.json","state_url":"https://pith.science/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/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":"2026-06-08T12:41:24Z","links":{"resolver":"https://pith.science/pith/LBL7LEYTIJCNTR7CHFVTYG25GL","bundle":"https://pith.science/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/bundle.json","state":"https://pith.science/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBL7LEYTIJCNTR7CHFVTYG25GL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LBL7LEYTIJCNTR7CHFVTYG25GL","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":"7cb4a6ab2c491475ae820eebfa91fe3ca5f17085e477880867dda0dc4cc7b9e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-15T20:23:01Z","title_canon_sha256":"054b4228c6d4865a072120b3f8755d11b9478c95eb491d3a4968c05f2cdf7356"},"schema_version":"1.0","source":{"id":"1106.3092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3092","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3092v1","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3092","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"pith_short_12","alias_value":"LBL7LEYTIJCN","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LBL7LEYTIJCNTR7C","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LBL7LEYT","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:026387fd93f6057930231dc896f39810a560fcb87e35d23b1b9f799605d1988e","target":"graph","created_at":"2026-05-18T04:19:54Z","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 degeneration of the Quillen metric for a one-parameter family of Riemann surfaces has been studied by Bismut-Bost and Yoshikawa. In this article we propose a more geometric point of view using Deligne's Riemann-Roch theorem. We obtain an interpretation of the singular part of the metric as a discriminant and the continuous part as a degeneration of the metric on Deligne products, which gives an asymptotic development involving the monodromy eigenvalues. This generalizes the results of Bismut-Bost and is a version of Yoshikawa's results on the degeneration of the Quillen metric for general ","authors_text":"Dennis Eriksson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-15T20:23:01Z","title":"Degenerating Riemann surfaces and the Quillen metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3092","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:ef79765b0a9d196a24346f7c434d24970d69052cbc5d29e98dea155e9db1b7f2","target":"record","created_at":"2026-05-18T04:19:54Z","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":"7cb4a6ab2c491475ae820eebfa91fe3ca5f17085e477880867dda0dc4cc7b9e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-15T20:23:01Z","title_canon_sha256":"054b4228c6d4865a072120b3f8755d11b9478c95eb491d3a4968c05f2cdf7356"},"schema_version":"1.0","source":{"id":"1106.3092","kind":"arxiv","version":1}},"canonical_sha256":"5857f593134244d9c7e2396b3c1b5d32d73d296556156bd48f355a32ee28fdaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5857f593134244d9c7e2396b3c1b5d32d73d296556156bd48f355a32ee28fdaa","first_computed_at":"2026-05-18T04:19:54.261095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:54.261095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BKEu+Da5LpwmEG28Xvs1WYjNqJE9g8nPEcYbXrDHFN3StVafBJ04vHpqrjYr3h9DSrYLaKsxN74UJxZBLR0oBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:54.261688Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef79765b0a9d196a24346f7c434d24970d69052cbc5d29e98dea155e9db1b7f2","sha256:026387fd93f6057930231dc896f39810a560fcb87e35d23b1b9f799605d1988e"],"state_sha256":"6a8318595cad0bfbfde43c0931a87abdcf28511e60d630a816cb05a5670edfdc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CEglX+PE1MaHv2C0lWKfTx+IOaUX7oYPB68/CJXnI69jXJ1xWyfPHaeWH7CjywJOwd6w6uPdJtjEFDVu4ujXBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:41:24.227076Z","bundle_sha256":"5abd8922056342105271480a3ea99233b9b658f99d6484a3131d2247b2299f98"}}