{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:AEGBSNBHWBUVC45RY7IGGVWOM4","short_pith_number":"pith:AEGBSNBH","canonical_record":{"source":{"id":"2212.04704","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-12-09T07:30:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"8a6454e7aa20cff4623857a3c48d303e908ef2f1185b64cfb33f0860993f83d1","abstract_canon_sha256":"4c4f1ececed7a5af7959b220ff5585aa84845605ce8b5c0c5b81b47f6cffb775"},"schema_version":"1.0"},"canonical_sha256":"010c193427b0695173b1c7d06356ce673e98ac2f08379c07c704131aac93654f","source":{"kind":"arxiv","id":"2212.04704","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.04704","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2212.04704v2","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04704","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"AEGBSNBHWBUV","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"AEGBSNBHWBUVC45R","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"AEGBSNBH","created_at":"2026-05-20T14:03:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:AEGBSNBHWBUVC45RY7IGGVWOM4","target":"record","payload":{"canonical_record":{"source":{"id":"2212.04704","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-12-09T07:30:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"8a6454e7aa20cff4623857a3c48d303e908ef2f1185b64cfb33f0860993f83d1","abstract_canon_sha256":"4c4f1ececed7a5af7959b220ff5585aa84845605ce8b5c0c5b81b47f6cffb775"},"schema_version":"1.0"},"canonical_sha256":"010c193427b0695173b1c7d06356ce673e98ac2f08379c07c704131aac93654f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T14:03:16.168691Z","signature_b64":"gncY4L8eTBw5Z5zCH3Kya5FcOhzGBIRJXwyqw7SB0jcCH64CLxV8ZeOcZAMvnE1m7iKP9IKlzH33lmyQlLIfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"010c193427b0695173b1c7d06356ce673e98ac2f08379c07c704131aac93654f","last_reissued_at":"2026-05-20T14:03:16.168186Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T14:03:16.168186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.04704","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T14:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NA/Lryf7GYyMnu0raGJgFGK7xbw1mcaYns3LszPgMDEnH6urQa2A5lBWtkq/GvMlKaREc89fcHf3stRrJUKPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:45:08.797769Z"},"content_sha256":"8e15f63629d295ae8fb0b3932c7ab060b389f79392321b360499273c665638c9","schema_version":"1.0","event_id":"sha256:8e15f63629d295ae8fb0b3932c7ab060b389f79392321b360499273c665638c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:AEGBSNBHWBUVC45RY7IGGVWOM4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A tale of two moduli spaces: logarithmic and multi-scale differentials","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"David Holmes, Dawei Chen, Johannes Schmitt, Martin M\\\"oller, Samuel Grushevsky","submitted_at":"2022-12-09T07:30:57Z","abstract_excerpt":"Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~M\\\"oller, from the viewpoint of flat and complex geometry, for the purpose of compactifying moduli spaces of curves together with a differential with prescribed orders of zeros and poles. Logarithmic differentials were constructed by S.~Marcus and J.~Wise, as a generalization of stable rubber maps from Gromov--Witten theory. Modulo the global residue condition that isolates the main components of the compactification, we show that these two kinds of differentials are equivalent, and establis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04704","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.04704/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-20T14:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BOo+BxPLlw6+FHGcJcZtrgF7MfVHu7C8yUnPdJ1O/P6/2wV77AB5z1lPaC83B0ymM5eYDgx1mIyizHmHG3tWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:45:08.798390Z"},"content_sha256":"6b1a2fe8e046b59537bbba8f2152727bbe124c74cd2abf1ef22ecdf67a5aee4a","schema_version":"1.0","event_id":"sha256:6b1a2fe8e046b59537bbba8f2152727bbe124c74cd2abf1ef22ecdf67a5aee4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/bundle.json","state_url":"https://pith.science/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/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":"2026-06-01T05:45:08Z","links":{"resolver":"https://pith.science/pith/AEGBSNBHWBUVC45RY7IGGVWOM4","bundle":"https://pith.science/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/bundle.json","state":"https://pith.science/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AEGBSNBHWBUVC45RY7IGGVWOM4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:AEGBSNBHWBUVC45RY7IGGVWOM4","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":"4c4f1ececed7a5af7959b220ff5585aa84845605ce8b5c0c5b81b47f6cffb775","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-12-09T07:30:57Z","title_canon_sha256":"8a6454e7aa20cff4623857a3c48d303e908ef2f1185b64cfb33f0860993f83d1"},"schema_version":"1.0","source":{"id":"2212.04704","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.04704","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2212.04704v2","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04704","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"AEGBSNBHWBUV","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"AEGBSNBHWBUVC45R","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"AEGBSNBH","created_at":"2026-05-20T14:03:16Z"}],"graph_snapshots":[{"event_id":"sha256:6b1a2fe8e046b59537bbba8f2152727bbe124c74cd2abf1ef22ecdf67a5aee4a","target":"graph","created_at":"2026-05-20T14:03:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.04704/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~M\\\"oller, from the viewpoint of flat and complex geometry, for the purpose of compactifying moduli spaces of curves together with a differential with prescribed orders of zeros and poles. Logarithmic differentials were constructed by S.~Marcus and J.~Wise, as a generalization of stable rubber maps from Gromov--Witten theory. Modulo the global residue condition that isolates the main components of the compactification, we show that these two kinds of differentials are equivalent, and establis","authors_text":"David Holmes, Dawei Chen, Johannes Schmitt, Martin M\\\"oller, Samuel Grushevsky","cross_cats":["math.GT"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-12-09T07:30:57Z","title":"A tale of two moduli spaces: logarithmic and multi-scale differentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04704","kind":"arxiv","version":2},"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":"sha256:8e15f63629d295ae8fb0b3932c7ab060b389f79392321b360499273c665638c9","target":"record","created_at":"2026-05-20T14:03:16Z","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":"4c4f1ececed7a5af7959b220ff5585aa84845605ce8b5c0c5b81b47f6cffb775","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-12-09T07:30:57Z","title_canon_sha256":"8a6454e7aa20cff4623857a3c48d303e908ef2f1185b64cfb33f0860993f83d1"},"schema_version":"1.0","source":{"id":"2212.04704","kind":"arxiv","version":2}},"canonical_sha256":"010c193427b0695173b1c7d06356ce673e98ac2f08379c07c704131aac93654f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"010c193427b0695173b1c7d06356ce673e98ac2f08379c07c704131aac93654f","first_computed_at":"2026-05-20T14:03:16.168186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:16.168186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gncY4L8eTBw5Z5zCH3Kya5FcOhzGBIRJXwyqw7SB0jcCH64CLxV8ZeOcZAMvnE1m7iKP9IKlzH33lmyQlLIfCQ==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:16.168691Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.04704","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e15f63629d295ae8fb0b3932c7ab060b389f79392321b360499273c665638c9","sha256:6b1a2fe8e046b59537bbba8f2152727bbe124c74cd2abf1ef22ecdf67a5aee4a"],"state_sha256":"a8abf0f91ad6551525727791c43e75a1f060f768845c780e16b377ec60b7763a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o+uc9P8xSsp2n+D5Ip0uWTXohH3WGsS9hxrBdW9o90ouQ1a8eSs5BEgulaWDwQeLjOnVm+mlXejNNK2rf3T/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:45:08.801397Z","bundle_sha256":"992787c44fcea1983a778a561333b5d735da689c730dafacfc8f4c232c9fc201"}}