{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QTIU57W2J7BBPCKOGQ6HNDPPM4","short_pith_number":"pith:QTIU57W2","canonical_record":{"source":{"id":"1609.02010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-07T15:07:21Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"32047ea8230df65cd75fadb1eadd27f3bc7acfeb28ff4fe66dfe6b53faf9b48c","abstract_canon_sha256":"19234738a68c71daecc451c2f1c0ca3a992efb2e545df497377df5913670661a"},"schema_version":"1.0"},"canonical_sha256":"84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0","source":{"kind":"arxiv","id":"1609.02010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02010","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02010v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02010","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"QTIU57W2J7BB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QTIU57W2J7BBPCKO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QTIU57W2","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QTIU57W2J7BBPCKOGQ6HNDPPM4","target":"record","payload":{"canonical_record":{"source":{"id":"1609.02010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-07T15:07:21Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"32047ea8230df65cd75fadb1eadd27f3bc7acfeb28ff4fe66dfe6b53faf9b48c","abstract_canon_sha256":"19234738a68c71daecc451c2f1c0ca3a992efb2e545df497377df5913670661a"},"schema_version":"1.0"},"canonical_sha256":"84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:09.410601Z","signature_b64":"2fhlbmQcQ2R4M4oQs/Zzk4+nYyuJuu4tgUmZ83c6HtRV0koFj0AUzCfKHnSBjWZ3Pc4mkf0El2LLHP6N8Pt8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0","last_reissued_at":"2026-05-18T01:05:09.409884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:09.409884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.02010","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KaGxkuyroOGkQY6/S6lZNYZulABtsrYzTHxeelBJ4dJ4V23q3waDqJD6qdHGdYns6DRsMdjjzD/mBIcf2Oo8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:38:34.781543Z"},"content_sha256":"3c197cf732fa04c85b78391eb6edb66b79f58359cc2a3e6f3d3ebb7dbad7e841","schema_version":"1.0","event_id":"sha256:3c197cf732fa04c85b78391eb6edb66b79f58359cc2a3e6f3d3ebb7dbad7e841"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QTIU57W2J7BBPCKOGQ6HNDPPM4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrium Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.AI","authors_text":"Carlos P\\'erez, Gilberto P\\'erez, Pedro Cabalar","submitted_at":"2016-09-07T15:07:21Z","abstract_excerpt":"In this paper we present an extension of Peirce's existential graphs to provide a diagrammatic representation of expressions in Quantified Equilibrium Logic (QEL). Using this formalisation, logical connectives are replaced by encircled regions (circles and squares) and quantified variables are represented as \"identity\" lines. Although the expressive power is equivalent to that of QEL, the new representation can be useful for illustrative or educational purposes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02010","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wIUXjTQ3zbUCsBSDjTr2H4kmchC6A/jrSA77MkXSQMr3iHn9+Efe6fOj2wEJv2KKX9iLoUCCzBSp0i1fPHQuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:38:34.782172Z"},"content_sha256":"e07e140b00c861940ce2ef7e53cea050c64f951211dcb81ddabb27145c9e8d88","schema_version":"1.0","event_id":"sha256:e07e140b00c861940ce2ef7e53cea050c64f951211dcb81ddabb27145c9e8d88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/bundle.json","state_url":"https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/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":"2026-06-11T02:38:34Z","links":{"resolver":"https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4","bundle":"https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/bundle.json","state":"https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QTIU57W2J7BBPCKOGQ6HNDPPM4","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":"19234738a68c71daecc451c2f1c0ca3a992efb2e545df497377df5913670661a","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-07T15:07:21Z","title_canon_sha256":"32047ea8230df65cd75fadb1eadd27f3bc7acfeb28ff4fe66dfe6b53faf9b48c"},"schema_version":"1.0","source":{"id":"1609.02010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02010","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02010v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02010","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"QTIU57W2J7BB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QTIU57W2J7BBPCKO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QTIU57W2","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:e07e140b00c861940ce2ef7e53cea050c64f951211dcb81ddabb27145c9e8d88","target":"graph","created_at":"2026-05-18T01:05:09Z","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":"In this paper we present an extension of Peirce's existential graphs to provide a diagrammatic representation of expressions in Quantified Equilibrium Logic (QEL). Using this formalisation, logical connectives are replaced by encircled regions (circles and squares) and quantified variables are represented as \"identity\" lines. Although the expressive power is equivalent to that of QEL, the new representation can be useful for illustrative or educational purposes.","authors_text":"Carlos P\\'erez, Gilberto P\\'erez, Pedro Cabalar","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-07T15:07:21Z","title":"Equilibrium Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02010","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":"sha256:3c197cf732fa04c85b78391eb6edb66b79f58359cc2a3e6f3d3ebb7dbad7e841","target":"record","created_at":"2026-05-18T01:05:09Z","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":"19234738a68c71daecc451c2f1c0ca3a992efb2e545df497377df5913670661a","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-07T15:07:21Z","title_canon_sha256":"32047ea8230df65cd75fadb1eadd27f3bc7acfeb28ff4fe66dfe6b53faf9b48c"},"schema_version":"1.0","source":{"id":"1609.02010","kind":"arxiv","version":1}},"canonical_sha256":"84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0","first_computed_at":"2026-05-18T01:05:09.409884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:09.409884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2fhlbmQcQ2R4M4oQs/Zzk4+nYyuJuu4tgUmZ83c6HtRV0koFj0AUzCfKHnSBjWZ3Pc4mkf0El2LLHP6N8Pt8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:09.410601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c197cf732fa04c85b78391eb6edb66b79f58359cc2a3e6f3d3ebb7dbad7e841","sha256:e07e140b00c861940ce2ef7e53cea050c64f951211dcb81ddabb27145c9e8d88"],"state_sha256":"e5ad0cc077b89311b3657f0c25cb3560b6e9e1422f1a9d10fa24965c1fb73481"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2tpRhco64mYOSmnXnq7bc8mdUoGXYcrkz7pDOmPp87ZC8LoPduewtqfRxFbJ0Hvu5AVAC/Jm1GNfc5T6P9cAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:38:34.785789Z","bundle_sha256":"dd2b3f41cdba5601715631d03feee3a827a080ee6926a21d91c6a122e40df3f4"}}