{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YAIP55WRGPPYYIC7SMLKQI2SU3","short_pith_number":"pith:YAIP55WR","canonical_record":{"source":{"id":"1310.3682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-14T13:40:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4dfb623b5a5913eae50cb48f0709f2fc1b7efd72fe49fbe06a67cb104645c6a1","abstract_canon_sha256":"f462f2eaa151588677184b55129f04e0ad9d3bc643339726755307d02d227fed"},"schema_version":"1.0"},"canonical_sha256":"c010fef6d133df8c205f9316a82352a6cd0fa421f885f09f17a05ec3414be24a","source":{"kind":"arxiv","id":"1310.3682","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3682","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3682v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3682","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"YAIP55WRGPPY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YAIP55WRGPPYYIC7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YAIP55WR","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YAIP55WRGPPYYIC7SMLKQI2SU3","target":"record","payload":{"canonical_record":{"source":{"id":"1310.3682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-14T13:40:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4dfb623b5a5913eae50cb48f0709f2fc1b7efd72fe49fbe06a67cb104645c6a1","abstract_canon_sha256":"f462f2eaa151588677184b55129f04e0ad9d3bc643339726755307d02d227fed"},"schema_version":"1.0"},"canonical_sha256":"c010fef6d133df8c205f9316a82352a6cd0fa421f885f09f17a05ec3414be24a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:35.129482Z","signature_b64":"1z6xKYnob4lhGFhqAZvpqxuoNuYYsyR2QPmEltde4OwwJPoRbrTvk39AlI0ejy1nTd3gVDJ6I8UXGPM3LKzVBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c010fef6d133df8c205f9316a82352a6cd0fa421f885f09f17a05ec3414be24a","last_reissued_at":"2026-05-18T03:10:35.128987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:35.128987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.3682","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ls4BnNne3Qb5JvDCMGtOCEVArbOZfyt3xRPFff9ZiT7P/Od4kZPLwJQGHavZEXVh+PggpRUjB6KezXjt8hoeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:16:27.665437Z"},"content_sha256":"a686a50935b852cf1063abb5ca063f62f04321d1f33d3e7cf7f5d28d7ce34692","schema_version":"1.0","event_id":"sha256:a686a50935b852cf1063abb5ca063f62f04321d1f33d3e7cf7f5d28d7ce34692"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YAIP55WRGPPYYIC7SMLKQI2SU3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice cohomology and Seiberg-Witten invariants of normal surface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GT","authors_text":"Tam\\'as L\\'aszl\\'o","submitted_at":"2013-10-14T13:40:13Z","abstract_excerpt":"One of the main questions in the theory of normal surface singularities is to understand the relations between their geometry and topology. The lattice cohomology is an important tool in the study of topological properties of a plumbed 3-manifold M associated with a connected negative definite plumbing graph G. It connects the topological properties with analytic ones when M is realized as a singularity link, i.e. when G is a good resolution graph of the singularity. Its computation is based on the (Riemann-Roch) weights of the lattice points of \\Z^s, where s is the number of vertices of G. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3682","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phThOKWVJfi1+Qzw+wVvmUYv7IPDqIt7YQUUTJJno8qk213UwuVJuBevJIcsd9k6VjbH2U6VsJXOcL1zmZ7FAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:16:27.665789Z"},"content_sha256":"684799c611ca57185b24c985cd221a0cf85cc86e7ecd15f925a9271c1b556585","schema_version":"1.0","event_id":"sha256:684799c611ca57185b24c985cd221a0cf85cc86e7ecd15f925a9271c1b556585"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/bundle.json","state_url":"https://pith.science/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/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":"2026-06-02T04:16:27Z","links":{"resolver":"https://pith.science/pith/YAIP55WRGPPYYIC7SMLKQI2SU3","bundle":"https://pith.science/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/bundle.json","state":"https://pith.science/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAIP55WRGPPYYIC7SMLKQI2SU3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YAIP55WRGPPYYIC7SMLKQI2SU3","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":"f462f2eaa151588677184b55129f04e0ad9d3bc643339726755307d02d227fed","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-14T13:40:13Z","title_canon_sha256":"4dfb623b5a5913eae50cb48f0709f2fc1b7efd72fe49fbe06a67cb104645c6a1"},"schema_version":"1.0","source":{"id":"1310.3682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3682","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3682v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3682","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"YAIP55WRGPPY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YAIP55WRGPPYYIC7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YAIP55WR","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:684799c611ca57185b24c985cd221a0cf85cc86e7ecd15f925a9271c1b556585","target":"graph","created_at":"2026-05-18T03:10:35Z","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":"One of the main questions in the theory of normal surface singularities is to understand the relations between their geometry and topology. The lattice cohomology is an important tool in the study of topological properties of a plumbed 3-manifold M associated with a connected negative definite plumbing graph G. It connects the topological properties with analytic ones when M is realized as a singularity link, i.e. when G is a good resolution graph of the singularity. Its computation is based on the (Riemann-Roch) weights of the lattice points of \\Z^s, where s is the number of vertices of G. Th","authors_text":"Tam\\'as L\\'aszl\\'o","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-14T13:40:13Z","title":"Lattice cohomology and Seiberg-Witten invariants of normal surface singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3682","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:a686a50935b852cf1063abb5ca063f62f04321d1f33d3e7cf7f5d28d7ce34692","target":"record","created_at":"2026-05-18T03:10:35Z","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":"f462f2eaa151588677184b55129f04e0ad9d3bc643339726755307d02d227fed","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-14T13:40:13Z","title_canon_sha256":"4dfb623b5a5913eae50cb48f0709f2fc1b7efd72fe49fbe06a67cb104645c6a1"},"schema_version":"1.0","source":{"id":"1310.3682","kind":"arxiv","version":1}},"canonical_sha256":"c010fef6d133df8c205f9316a82352a6cd0fa421f885f09f17a05ec3414be24a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c010fef6d133df8c205f9316a82352a6cd0fa421f885f09f17a05ec3414be24a","first_computed_at":"2026-05-18T03:10:35.128987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:35.128987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1z6xKYnob4lhGFhqAZvpqxuoNuYYsyR2QPmEltde4OwwJPoRbrTvk39AlI0ejy1nTd3gVDJ6I8UXGPM3LKzVBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:35.129482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.3682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a686a50935b852cf1063abb5ca063f62f04321d1f33d3e7cf7f5d28d7ce34692","sha256:684799c611ca57185b24c985cd221a0cf85cc86e7ecd15f925a9271c1b556585"],"state_sha256":"bbd5f75925f8c7818e2e7f69702cff181d8c9ecb71785169cf4da2408469c950"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g1CvL5EmVMdNSuMLv8dOiovnVldvw/WmH8zjEvHcNWzSBxWZEhnPngPCFahvxxB4Q/OdnLt5zAMxfsRpa9iuAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:16:27.667724Z","bundle_sha256":"779881d9251575016ad69030dee9b615fdabeff1ba9382b5075eea3bab72c452"}}