{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:IS3JJIC2SRBKIA5VEINGHWIYCV","short_pith_number":"pith:IS3JJIC2","canonical_record":{"source":{"id":"2303.13279","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-03-23T14:00:29Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"77532dbd4125ac7b7ebb37b0b9d83c9c5369d392caf4297452da799e45b45f48","abstract_canon_sha256":"01a0cfcba5d3c877ff49af24cd5ff0b1ce3aca0f0e12eb52646236f0fb41e9d8"},"schema_version":"1.0"},"canonical_sha256":"44b694a05a9442a403b5221a63d9181550074e1555d2de88992fa3b8e47dd9c6","source":{"kind":"arxiv","id":"2303.13279","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.13279","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"2303.13279v2","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.13279","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"IS3JJIC2SRBK","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_16","alias_value":"IS3JJIC2SRBKIA5V","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_8","alias_value":"IS3JJIC2","created_at":"2026-07-05T11:51:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:IS3JJIC2SRBKIA5VEINGHWIYCV","target":"record","payload":{"canonical_record":{"source":{"id":"2303.13279","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-03-23T14:00:29Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"77532dbd4125ac7b7ebb37b0b9d83c9c5369d392caf4297452da799e45b45f48","abstract_canon_sha256":"01a0cfcba5d3c877ff49af24cd5ff0b1ce3aca0f0e12eb52646236f0fb41e9d8"},"schema_version":"1.0"},"canonical_sha256":"44b694a05a9442a403b5221a63d9181550074e1555d2de88992fa3b8e47dd9c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:51:12.912206Z","signature_b64":"567vqimnkLsBxXL+g4N2c8M+fU0e+otfmfhYPkaqpFZX3H+HfmGoQvsKG7eItMfQhnJ4VjEi8+ZgErF1o/ViAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44b694a05a9442a403b5221a63d9181550074e1555d2de88992fa3b8e47dd9c6","last_reissued_at":"2026-07-05T11:51:12.911657Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:51:12.911657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.13279","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":"2026-07-05T11:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oCYqVlNjzXb1puOhN1mWqbFH6mfAB4y3qBmpHbHgzT9tHWDdnA9aV/7Qk19F5c6NwX4g9P5uG9sFHDC61aUhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T08:05:15.915148Z"},"content_sha256":"88ed5259a46f07e469f64b56159216d1b14b3f6488bd1030e41e11d4fa157f8c","schema_version":"1.0","event_id":"sha256:88ed5259a46f07e469f64b56159216d1b14b3f6488bd1030e41e11d4fa157f8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:IS3JJIC2SRBKIA5VEINGHWIYCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Combinatorial Parameterized Algorithms for Chemical Descriptors based on Molecular Graph Sparsity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","cs.DM"],"primary_cat":"cs.DS","authors_text":"Amir K. Goharshady, Giovanna K. Conrado, Harshit J. Motwani, Sergei Novozhilov","submitted_at":"2023-03-23T14:00:29Z","abstract_excerpt":"We present efficient combinatorial parameterized algorithms for several classical graph-based counting problems in computational chemistry, including (i) Kekule structures, (ii) the Hosoya index, (iii) the Merrifield-Simmons index, and (iv) Graph entropy based on matchings and independent sets. All these problems were known to be #P-complete. Building on the intuition that molecular graphs are often sparse and tree-like, we provide fixed-parameter tractable (FPT) algorithms using treewidth as our parameter. We also provide extensive experimental results over the entire PubChem database of chem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.13279","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/2303.13279/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":"2026-07-05T11:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9n7Cl4eA3QfXv9RaaNyYzUGwPg4YFWqIVbP1FZkU7bWiDElmcScLWAls1JTNDFSN6OlgnnYJEkEIZQOMYCFsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T08:05:15.915558Z"},"content_sha256":"f2ff6fbba7bde4157bf575cd157c202c9830ed8ff9a4a6a2d425d44c83cff581","schema_version":"1.0","event_id":"sha256:f2ff6fbba7bde4157bf575cd157c202c9830ed8ff9a4a6a2d425d44c83cff581"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/bundle.json","state_url":"https://pith.science/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/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":"2026-07-11T08:05:15Z","links":{"resolver":"https://pith.science/pith/IS3JJIC2SRBKIA5VEINGHWIYCV","bundle":"https://pith.science/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/bundle.json","state":"https://pith.science/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IS3JJIC2SRBKIA5VEINGHWIYCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:IS3JJIC2SRBKIA5VEINGHWIYCV","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":"01a0cfcba5d3c877ff49af24cd5ff0b1ce3aca0f0e12eb52646236f0fb41e9d8","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-03-23T14:00:29Z","title_canon_sha256":"77532dbd4125ac7b7ebb37b0b9d83c9c5369d392caf4297452da799e45b45f48"},"schema_version":"1.0","source":{"id":"2303.13279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.13279","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"2303.13279v2","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.13279","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"IS3JJIC2SRBK","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_16","alias_value":"IS3JJIC2SRBKIA5V","created_at":"2026-07-05T11:51:12Z"},{"alias_kind":"pith_short_8","alias_value":"IS3JJIC2","created_at":"2026-07-05T11:51:12Z"}],"graph_snapshots":[{"event_id":"sha256:f2ff6fbba7bde4157bf575cd157c202c9830ed8ff9a4a6a2d425d44c83cff581","target":"graph","created_at":"2026-07-05T11:51:12Z","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/2303.13279/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present efficient combinatorial parameterized algorithms for several classical graph-based counting problems in computational chemistry, including (i) Kekule structures, (ii) the Hosoya index, (iii) the Merrifield-Simmons index, and (iv) Graph entropy based on matchings and independent sets. All these problems were known to be #P-complete. Building on the intuition that molecular graphs are often sparse and tree-like, we provide fixed-parameter tractable (FPT) algorithms using treewidth as our parameter. We also provide extensive experimental results over the entire PubChem database of chem","authors_text":"Amir K. Goharshady, Giovanna K. Conrado, Harshit J. Motwani, Sergei Novozhilov","cross_cats":["cs.CC","cs.DM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-03-23T14:00:29Z","title":"Combinatorial Parameterized Algorithms for Chemical Descriptors based on Molecular Graph Sparsity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.13279","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":"sha256:88ed5259a46f07e469f64b56159216d1b14b3f6488bd1030e41e11d4fa157f8c","target":"record","created_at":"2026-07-05T11:51:12Z","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":"01a0cfcba5d3c877ff49af24cd5ff0b1ce3aca0f0e12eb52646236f0fb41e9d8","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-03-23T14:00:29Z","title_canon_sha256":"77532dbd4125ac7b7ebb37b0b9d83c9c5369d392caf4297452da799e45b45f48"},"schema_version":"1.0","source":{"id":"2303.13279","kind":"arxiv","version":2}},"canonical_sha256":"44b694a05a9442a403b5221a63d9181550074e1555d2de88992fa3b8e47dd9c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44b694a05a9442a403b5221a63d9181550074e1555d2de88992fa3b8e47dd9c6","first_computed_at":"2026-07-05T11:51:12.911657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:51:12.911657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"567vqimnkLsBxXL+g4N2c8M+fU0e+otfmfhYPkaqpFZX3H+HfmGoQvsKG7eItMfQhnJ4VjEi8+ZgErF1o/ViAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:51:12.912206Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.13279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88ed5259a46f07e469f64b56159216d1b14b3f6488bd1030e41e11d4fa157f8c","sha256:f2ff6fbba7bde4157bf575cd157c202c9830ed8ff9a4a6a2d425d44c83cff581"],"state_sha256":"44deda0ffda029067e92698eeb5c6f02bda056c46eeb4ecbded809ef77a3d52c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rlprXZEfUQq1zk1PkS8Jy/iKIEh3dTZSet0M8fQLehRO1lR7qFmoCzmWBoXKjdN/QhHXwTolQT7aGk3eDc9dAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T08:05:15.917962Z","bundle_sha256":"f408161b6953cdf7bff6bbfd0e6436a3eff1a034b7bd9738a8214f824467814e"}}