{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:FITJXKKHVBHJR2M5KKF2GVOIFG","short_pith_number":"pith:FITJXKKH","canonical_record":{"source":{"id":"2502.16322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-02-22T18:50:44Z","cross_cats_sorted":[],"title_canon_sha256":"3747d75e55d3d5b252528c694f653069b85bfc9e3618127ab371978200a80872","abstract_canon_sha256":"5d254d6dce6e014225558522a106b33839046c4b86ec0a94585b3c5b2550b496"},"schema_version":"1.0"},"canonical_sha256":"2a269ba947a84e98e99d528ba355c82995af31ce70b0fe8c52ef09bd67b90001","source":{"kind":"arxiv","id":"2502.16322","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.16322","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"2502.16322v1","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.16322","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"FITJXKKHVBHJ","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_16","alias_value":"FITJXKKHVBHJR2M5","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_8","alias_value":"FITJXKKH","created_at":"2026-07-05T10:18:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:FITJXKKHVBHJR2M5KKF2GVOIFG","target":"record","payload":{"canonical_record":{"source":{"id":"2502.16322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-02-22T18:50:44Z","cross_cats_sorted":[],"title_canon_sha256":"3747d75e55d3d5b252528c694f653069b85bfc9e3618127ab371978200a80872","abstract_canon_sha256":"5d254d6dce6e014225558522a106b33839046c4b86ec0a94585b3c5b2550b496"},"schema_version":"1.0"},"canonical_sha256":"2a269ba947a84e98e99d528ba355c82995af31ce70b0fe8c52ef09bd67b90001","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:18:24.806129Z","signature_b64":"vzAXJ+YGJTyRZEw20w/BAYDIZ5Or/4smRZ/Uws0rL/ulCR67tJR0gF7qo0BZX2jiIRTujIukEM3uHJML4bqNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a269ba947a84e98e99d528ba355c82995af31ce70b0fe8c52ef09bd67b90001","last_reissued_at":"2026-07-05T10:18:24.805666Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:18:24.805666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.16322","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":"2026-07-05T10:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z9/8QEYYgJVyRop/tLjiINuwwlw7vqpCwzrrHSlaSAcYAdj0uGePOL7Dz9+mWqEXENNZNSGDMW16j9XUb0L4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:38:29.720012Z"},"content_sha256":"56a36b8504dc4597b26922a42a5a669759076e26bec2642d64eae52984543566","schema_version":"1.0","event_id":"sha256:56a36b8504dc4597b26922a42a5a669759076e26bec2642d64eae52984543566"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:FITJXKKHVBHJR2M5KKF2GVOIFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some boundary divisors in the moduli spaces of stable Horikawa surfaces with $K^2=2p_g-3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ciro Ciliberto, Rita Pardini","submitted_at":"2025-02-22T18:50:44Z","abstract_excerpt":"We describe the normal stable surfaces with K^2=2p_g-3 and p_g>14 whose only non canonical singularity is a cyclic quotient singularity of type 1/4k(1,2k-1) and the corresponding locus D inside the KSBA moduli space of stable surfaces. More precisely, we show that: (1) a general point of any irreducible component of D corresponds to a surface with a singularity of type 1/4(1,1), (2) the closure of D is a divisor contained in the closure of the Gieseker moduli space of canonical models of surfaces with K^2=2p_g-3 and intersects all the components of such closure, and (3) the KSBA moduli space i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.16322","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.16322/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":"2026-07-05T10:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5FBpnCAoRooMbsm//fyW3N2vuovbj5Sdyi3JW/orBZZH88najsbcmWEhhbEvx89Sc4H+JA4iYZ6FUok6IxqSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:38:29.720627Z"},"content_sha256":"67f294b4eb753ce535736a013f3d6a232537d6aedc182b9a7f37e019f0ee6e3a","schema_version":"1.0","event_id":"sha256:67f294b4eb753ce535736a013f3d6a232537d6aedc182b9a7f37e019f0ee6e3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/bundle.json","state_url":"https://pith.science/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/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":"2026-08-11T12:38:29Z","links":{"resolver":"https://pith.science/pith/FITJXKKHVBHJR2M5KKF2GVOIFG","bundle":"https://pith.science/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/bundle.json","state":"https://pith.science/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FITJXKKHVBHJR2M5KKF2GVOIFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FITJXKKHVBHJR2M5KKF2GVOIFG","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":"5d254d6dce6e014225558522a106b33839046c4b86ec0a94585b3c5b2550b496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-02-22T18:50:44Z","title_canon_sha256":"3747d75e55d3d5b252528c694f653069b85bfc9e3618127ab371978200a80872"},"schema_version":"1.0","source":{"id":"2502.16322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.16322","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"2502.16322v1","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.16322","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"FITJXKKHVBHJ","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_16","alias_value":"FITJXKKHVBHJR2M5","created_at":"2026-07-05T10:18:24Z"},{"alias_kind":"pith_short_8","alias_value":"FITJXKKH","created_at":"2026-07-05T10:18:24Z"}],"graph_snapshots":[{"event_id":"sha256:67f294b4eb753ce535736a013f3d6a232537d6aedc182b9a7f37e019f0ee6e3a","target":"graph","created_at":"2026-07-05T10:18:24Z","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/2502.16322/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe the normal stable surfaces with K^2=2p_g-3 and p_g>14 whose only non canonical singularity is a cyclic quotient singularity of type 1/4k(1,2k-1) and the corresponding locus D inside the KSBA moduli space of stable surfaces. More precisely, we show that: (1) a general point of any irreducible component of D corresponds to a surface with a singularity of type 1/4(1,1), (2) the closure of D is a divisor contained in the closure of the Gieseker moduli space of canonical models of surfaces with K^2=2p_g-3 and intersects all the components of such closure, and (3) the KSBA moduli space i","authors_text":"Ciro Ciliberto, Rita Pardini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-02-22T18:50:44Z","title":"On some boundary divisors in the moduli spaces of stable Horikawa surfaces with $K^2=2p_g-3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.16322","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":"sha256:56a36b8504dc4597b26922a42a5a669759076e26bec2642d64eae52984543566","target":"record","created_at":"2026-07-05T10:18:24Z","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":"5d254d6dce6e014225558522a106b33839046c4b86ec0a94585b3c5b2550b496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-02-22T18:50:44Z","title_canon_sha256":"3747d75e55d3d5b252528c694f653069b85bfc9e3618127ab371978200a80872"},"schema_version":"1.0","source":{"id":"2502.16322","kind":"arxiv","version":1}},"canonical_sha256":"2a269ba947a84e98e99d528ba355c82995af31ce70b0fe8c52ef09bd67b90001","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a269ba947a84e98e99d528ba355c82995af31ce70b0fe8c52ef09bd67b90001","first_computed_at":"2026-07-05T10:18:24.805666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:18:24.805666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzAXJ+YGJTyRZEw20w/BAYDIZ5Or/4smRZ/Uws0rL/ulCR67tJR0gF7qo0BZX2jiIRTujIukEM3uHJML4bqNCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:18:24.806129Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.16322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56a36b8504dc4597b26922a42a5a669759076e26bec2642d64eae52984543566","sha256:67f294b4eb753ce535736a013f3d6a232537d6aedc182b9a7f37e019f0ee6e3a"],"state_sha256":"8fc268d2e6af6a2c3eb927400a0cc55142f8f08cfc80830be025a26d71fd2b6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EIDfPc+PnuEhNtQ7hanue8qLjQmwtyIaJIi3ZA+aXbZHMz+v1b4y2XKqwcs2aJLcwlAtrgJ2mApWeOOSAZvAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T12:38:29.726424Z","bundle_sha256":"f675ec8f70cd684f159c476e23b0e987589fa6025ae63658ed77ed2d3ea41620"}}