{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TAVCTH7JEAKH7CH76SKIGF6YLQ","short_pith_number":"pith:TAVCTH7J","canonical_record":{"source":{"id":"1603.08424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-28T16:03:01Z","cross_cats_sorted":[],"title_canon_sha256":"482b8566a4a08a755dc14a158a4d619ac763caa90f93a4749af5eb470c93d4d1","abstract_canon_sha256":"f2b3cb52635247e8ad59a53a78ef0c1efae1f1b051c0974dc9beb56884aa09a1"},"schema_version":"1.0"},"canonical_sha256":"982a299fe920147f88fff4948317d85c2cb16b7d57005e644a02bdd6601589bb","source":{"kind":"arxiv","id":"1603.08424","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08424","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08424v2","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08424","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"TAVCTH7JEAKH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TAVCTH7JEAKH7CH7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TAVCTH7J","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TAVCTH7JEAKH7CH76SKIGF6YLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1603.08424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-28T16:03:01Z","cross_cats_sorted":[],"title_canon_sha256":"482b8566a4a08a755dc14a158a4d619ac763caa90f93a4749af5eb470c93d4d1","abstract_canon_sha256":"f2b3cb52635247e8ad59a53a78ef0c1efae1f1b051c0974dc9beb56884aa09a1"},"schema_version":"1.0"},"canonical_sha256":"982a299fe920147f88fff4948317d85c2cb16b7d57005e644a02bdd6601589bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:17.978075Z","signature_b64":"b1UtOCqDohy8PoMSUYn8V1Ps4c8CT1exZZ9EyqiuCfzh8qsebkY+CJiuJiWG4qzry3jT9nWDBhr6XPYvdpIMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"982a299fe920147f88fff4948317d85c2cb16b7d57005e644a02bdd6601589bb","last_reissued_at":"2026-05-18T00:04:17.977415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:17.977415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.08424","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":"2026-05-18T00:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"waNvPwW15sP9ktASQKUO3LuxZ+xZrTaY4NMMF3CGk+fNk9PEcrvQcdq9d8YQrHthiTJhWRh4uGnhJrGBNLH9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:33:39.106444Z"},"content_sha256":"a07742c247f3a59dce8b329343f904658ece2f51886b6cde99f9a42f33b2a0de","schema_version":"1.0","event_id":"sha256:a07742c247f3a59dce8b329343f904658ece2f51886b6cde99f9a42f33b2a0de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TAVCTH7JEAKH7CH76SKIGF6YLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tropical refined curve counting via motivic integration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Franziska Schroeter, Johannes Nicaise, Sam Payne","submitted_at":"2016-03-28T16:03:01Z","abstract_excerpt":"We propose a geometric interpretation of Block and G\\\"ottsche's refined tropical curve counting invariants in terms of virtual $\\chi_{-y}$-specializations of motivic measures of semialgebraic sets in relative Hilbert schemes. We prove that this interpretation is correct for linear series of genus 1, and in arbitrary genus after specializing from $\\chi_{-y}$ to Euler characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08424","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":""},"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":"2026-05-18T00:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+s5DcGVYYPDn+gGmlN2R7ByhndXRes46JT7vRu/+c796yB0ozZLQn8PueJfHp9zjdafuoZYRxSTBYa2LwdnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:33:39.106773Z"},"content_sha256":"9d06dc63b846d600f0b2fa3366c7ed276e60e89c26d6f6ce87eda1485422e7e6","schema_version":"1.0","event_id":"sha256:9d06dc63b846d600f0b2fa3366c7ed276e60e89c26d6f6ce87eda1485422e7e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/bundle.json","state_url":"https://pith.science/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/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":"2026-06-08T23:33:39Z","links":{"resolver":"https://pith.science/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ","bundle":"https://pith.science/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/bundle.json","state":"https://pith.science/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TAVCTH7JEAKH7CH76SKIGF6YLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TAVCTH7JEAKH7CH76SKIGF6YLQ","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":"f2b3cb52635247e8ad59a53a78ef0c1efae1f1b051c0974dc9beb56884aa09a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-28T16:03:01Z","title_canon_sha256":"482b8566a4a08a755dc14a158a4d619ac763caa90f93a4749af5eb470c93d4d1"},"schema_version":"1.0","source":{"id":"1603.08424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08424","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08424v2","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08424","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"TAVCTH7JEAKH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TAVCTH7JEAKH7CH7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TAVCTH7J","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:9d06dc63b846d600f0b2fa3366c7ed276e60e89c26d6f6ce87eda1485422e7e6","target":"graph","created_at":"2026-05-18T00:04:17Z","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":"We propose a geometric interpretation of Block and G\\\"ottsche's refined tropical curve counting invariants in terms of virtual $\\chi_{-y}$-specializations of motivic measures of semialgebraic sets in relative Hilbert schemes. We prove that this interpretation is correct for linear series of genus 1, and in arbitrary genus after specializing from $\\chi_{-y}$ to Euler characteristic.","authors_text":"Franziska Schroeter, Johannes Nicaise, Sam Payne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-28T16:03:01Z","title":"Tropical refined curve counting via motivic integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08424","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:a07742c247f3a59dce8b329343f904658ece2f51886b6cde99f9a42f33b2a0de","target":"record","created_at":"2026-05-18T00:04:17Z","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":"f2b3cb52635247e8ad59a53a78ef0c1efae1f1b051c0974dc9beb56884aa09a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-28T16:03:01Z","title_canon_sha256":"482b8566a4a08a755dc14a158a4d619ac763caa90f93a4749af5eb470c93d4d1"},"schema_version":"1.0","source":{"id":"1603.08424","kind":"arxiv","version":2}},"canonical_sha256":"982a299fe920147f88fff4948317d85c2cb16b7d57005e644a02bdd6601589bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"982a299fe920147f88fff4948317d85c2cb16b7d57005e644a02bdd6601589bb","first_computed_at":"2026-05-18T00:04:17.977415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:17.977415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b1UtOCqDohy8PoMSUYn8V1Ps4c8CT1exZZ9EyqiuCfzh8qsebkY+CJiuJiWG4qzry3jT9nWDBhr6XPYvdpIMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:17.978075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a07742c247f3a59dce8b329343f904658ece2f51886b6cde99f9a42f33b2a0de","sha256:9d06dc63b846d600f0b2fa3366c7ed276e60e89c26d6f6ce87eda1485422e7e6"],"state_sha256":"34d90bf8db46dd2728a216e903f4bd490e7337d76f307ee0a2102f9768170198"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zeia/8M+Ru6Stoaja4F8zTBGJdvGJ1QZA1CpWCEpRXTUQLTygEpXlnW2PR7tQpe2BQAOesGzMre4vFPELMNXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:33:39.108648Z","bundle_sha256":"04c97d471583d0c5de89eeaaaaec19cfb42b024ce073f8406d9f528816fab5a8"}}