{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:T7V7WR2GLD37H65NWLXKE4DDHM","short_pith_number":"pith:T7V7WR2G","canonical_record":{"source":{"id":"1711.09028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-24T16:00:14Z","cross_cats_sorted":[],"title_canon_sha256":"3475d75b69f86dc4d970d0c4589f04c2a132cf26c73df74c0b407e9bb2713e8d","abstract_canon_sha256":"2e1d302c50a9fcfa0311b00036341826b2b1a982a112c35523743035a6e245fe"},"schema_version":"1.0"},"canonical_sha256":"9febfb474658f7f3fbadb2eea270633b23e9c931d159b014831b445255ca4ad1","source":{"kind":"arxiv","id":"1711.09028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09028","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09028v2","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09028","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"T7V7WR2GLD37","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"T7V7WR2GLD37H65N","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"T7V7WR2G","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:T7V7WR2GLD37H65NWLXKE4DDHM","target":"record","payload":{"canonical_record":{"source":{"id":"1711.09028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-24T16:00:14Z","cross_cats_sorted":[],"title_canon_sha256":"3475d75b69f86dc4d970d0c4589f04c2a132cf26c73df74c0b407e9bb2713e8d","abstract_canon_sha256":"2e1d302c50a9fcfa0311b00036341826b2b1a982a112c35523743035a6e245fe"},"schema_version":"1.0"},"canonical_sha256":"9febfb474658f7f3fbadb2eea270633b23e9c931d159b014831b445255ca4ad1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:01.130826Z","signature_b64":"XKinBzNO5uNa57kFWn38e2CW88L8CmutZNRAendOvVg9UfNas1t59rwlzQXP65LLRLPEhZQtRfbnURD5UV8ZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9febfb474658f7f3fbadb2eea270633b23e9c931d159b014831b445255ca4ad1","last_reissued_at":"2026-05-17T23:55:01.130474Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:01.130474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.09028","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":"2026-05-17T23:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7H61c/ED8OKQcitWYVug6P8Nb9hjHKJdB2g3uC8aRSdzAlTR3vmCg3bg3M0569pPLCGcE/UxO+Cv9rn/CtzcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:31:17.819514Z"},"content_sha256":"93ea0bf971a2eb8908b00e65888fb77fcc3c07050cf05140d5621f80b04ab137","schema_version":"1.0","event_id":"sha256:93ea0bf971a2eb8908b00e65888fb77fcc3c07050cf05140d5621f80b04ab137"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:T7V7WR2GLD37H65NWLXKE4DDHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Tutte characters via combinatorial coalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alex Fink, Cl\\'ement Dupont, Luca Moci","submitted_at":"2017-11-24T16:00:14Z","abstract_excerpt":"The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any class of combinatorial objects with deletion and contraction operations, associating to each such class a universal Tutte character by a functorial procedure. We show that these invariants satisfy a universal property and convolution formulae similar to the Tutte polynomial. With this machinery we recover classical invariants for delta-matroids, matroid perspectives, relative and colored matroids, generalized permutohe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09028","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":"2026-05-17T23:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbvx2UWVR9p66gqTRP9BzR9xzbsnQuxiK+BPpbEh83b1zOaW9UZBG4gew/9fzbhOV10M4ww4Yjpgrun749DoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:31:17.820102Z"},"content_sha256":"a2c888f03cf46717c517a359ec207f5daedc17e8a8fcae6748ce500f61dabdec","schema_version":"1.0","event_id":"sha256:a2c888f03cf46717c517a359ec207f5daedc17e8a8fcae6748ce500f61dabdec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7V7WR2GLD37H65NWLXKE4DDHM/bundle.json","state_url":"https://pith.science/pith/T7V7WR2GLD37H65NWLXKE4DDHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7V7WR2GLD37H65NWLXKE4DDHM/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":"2026-05-25T23:31:17Z","links":{"resolver":"https://pith.science/pith/T7V7WR2GLD37H65NWLXKE4DDHM","bundle":"https://pith.science/pith/T7V7WR2GLD37H65NWLXKE4DDHM/bundle.json","state":"https://pith.science/pith/T7V7WR2GLD37H65NWLXKE4DDHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7V7WR2GLD37H65NWLXKE4DDHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:T7V7WR2GLD37H65NWLXKE4DDHM","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":"2e1d302c50a9fcfa0311b00036341826b2b1a982a112c35523743035a6e245fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-24T16:00:14Z","title_canon_sha256":"3475d75b69f86dc4d970d0c4589f04c2a132cf26c73df74c0b407e9bb2713e8d"},"schema_version":"1.0","source":{"id":"1711.09028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09028","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09028v2","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09028","created_at":"2026-05-17T23:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"T7V7WR2GLD37","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"T7V7WR2GLD37H65N","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"T7V7WR2G","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:a2c888f03cf46717c517a359ec207f5daedc17e8a8fcae6748ce500f61dabdec","target":"graph","created_at":"2026-05-17T23:55:01Z","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":"The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any class of combinatorial objects with deletion and contraction operations, associating to each such class a universal Tutte character by a functorial procedure. We show that these invariants satisfy a universal property and convolution formulae similar to the Tutte polynomial. With this machinery we recover classical invariants for delta-matroids, matroid perspectives, relative and colored matroids, generalized permutohe","authors_text":"Alex Fink, Cl\\'ement Dupont, Luca Moci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-24T16:00:14Z","title":"Universal Tutte characters via combinatorial coalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09028","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":"sha256:93ea0bf971a2eb8908b00e65888fb77fcc3c07050cf05140d5621f80b04ab137","target":"record","created_at":"2026-05-17T23:55:01Z","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":"2e1d302c50a9fcfa0311b00036341826b2b1a982a112c35523743035a6e245fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-24T16:00:14Z","title_canon_sha256":"3475d75b69f86dc4d970d0c4589f04c2a132cf26c73df74c0b407e9bb2713e8d"},"schema_version":"1.0","source":{"id":"1711.09028","kind":"arxiv","version":2}},"canonical_sha256":"9febfb474658f7f3fbadb2eea270633b23e9c931d159b014831b445255ca4ad1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9febfb474658f7f3fbadb2eea270633b23e9c931d159b014831b445255ca4ad1","first_computed_at":"2026-05-17T23:55:01.130474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:01.130474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XKinBzNO5uNa57kFWn38e2CW88L8CmutZNRAendOvVg9UfNas1t59rwlzQXP65LLRLPEhZQtRfbnURD5UV8ZBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:01.130826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93ea0bf971a2eb8908b00e65888fb77fcc3c07050cf05140d5621f80b04ab137","sha256:a2c888f03cf46717c517a359ec207f5daedc17e8a8fcae6748ce500f61dabdec"],"state_sha256":"36b1cbfa1474a7e95ba21d6344656c364c7f74fc405090c1a5a0d0b3cd7e7e76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d02AcFmbh1QEsl4M58aaX+QsERVannf7QI9GSN+I3AxrxoWbQvfGLvUCfiN+zhplBeJ6YFc8csm+ECyVhZtXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:31:17.823714Z","bundle_sha256":"e6caea8e3e1a4193b86bad03360ea3c4067f5d3bc21f19eda423d4f3fa57d72e"}}