{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JQNAQQN2EGJNKNCDJ43R6LWLOF","short_pith_number":"pith:JQNAQQN2","canonical_record":{"source":{"id":"1206.1247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2012-06-05T12:32:59Z","cross_cats_sorted":[],"title_canon_sha256":"2db411c4270755607478d70bdb74605066e774425572ca911e1678ed259cdb7c","abstract_canon_sha256":"99e9b1dd125d1097b6f217b5b0dabc3db0f0355ba9409eb00b12d5538003a769"},"schema_version":"1.0"},"canonical_sha256":"4c1a0841ba2192d534434f371f2ecb714cc86309bef18886bd2411b09dd9c489","source":{"kind":"arxiv","id":"1206.1247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1247","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1247v1","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1247","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"pith_short_12","alias_value":"JQNAQQN2EGJN","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JQNAQQN2EGJNKNCD","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JQNAQQN2","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JQNAQQN2EGJNKNCDJ43R6LWLOF","target":"record","payload":{"canonical_record":{"source":{"id":"1206.1247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2012-06-05T12:32:59Z","cross_cats_sorted":[],"title_canon_sha256":"2db411c4270755607478d70bdb74605066e774425572ca911e1678ed259cdb7c","abstract_canon_sha256":"99e9b1dd125d1097b6f217b5b0dabc3db0f0355ba9409eb00b12d5538003a769"},"schema_version":"1.0"},"canonical_sha256":"4c1a0841ba2192d534434f371f2ecb714cc86309bef18886bd2411b09dd9c489","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:06.571958Z","signature_b64":"66oEc4vNgFV4dp85EewtZy64170GBsKgi/6CiEXJwtEaqbfiND9WcEpxwaMbya1oBPZxwrs+gUB3EMO+2X7jDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c1a0841ba2192d534434f371f2ecb714cc86309bef18886bd2411b09dd9c489","last_reissued_at":"2026-05-18T03:54:06.571423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:06.571423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.1247","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":"2026-05-18T03:54:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZZnqD4dwzer1tdQ4wRsbk7U/ZW9DyuBZmo9QmH8iNU9rUeyEOk1rGewrObkDedhi05dZRWJF3wCqPvNaGTSXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:28:26.494613Z"},"content_sha256":"77f9bc9c8f00734df2e418f6252a57836abc6071c9c7ce6e8ff3ee0080b8a5af","schema_version":"1.0","event_id":"sha256:77f9bc9c8f00734df2e418f6252a57836abc6071c9c7ce6e8ff3ee0080b8a5af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JQNAQQN2EGJNKNCDJ43R6LWLOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reciprocally induced coevolution: A computational metaphor in Mathematics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.OH","authors_text":"Mukund Sanglikar, Siby Abraham, Sugata Sanyal","submitted_at":"2012-06-05T12:32:59Z","abstract_excerpt":"Natural phenomenon of coevolution is the reciprocally induced evolutionary change between two or more species or population. Though this biological occurrence is a natural fact, there are only few attempts to use this as a simile in computation. This paper is an attempt to introduce reciprocally induced coevolution as a mechanism to counter problems faced by a typical genetic algorithm applied as an optimization technique. The domain selected for testing the efficacy of the procedure is the process of finding numerical solutions of Diophantine equations. Diophantine equations are polynomial eq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1247","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":"2026-05-18T03:54:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XUq3AIP8yK7MLFULVamF5g1Zl0rVcQvrH/U3u3LcUj8CdVVxmsBr3RIy6M4UkFSbpeOslBWYVllRyXLi3H+BAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:28:26.495272Z"},"content_sha256":"a57e4ce7861e12a9c4c085abb4bce2d6f69458ca03351377969d16871c86e958","schema_version":"1.0","event_id":"sha256:a57e4ce7861e12a9c4c085abb4bce2d6f69458ca03351377969d16871c86e958"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/bundle.json","state_url":"https://pith.science/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/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":"2026-05-30T13:28:26Z","links":{"resolver":"https://pith.science/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF","bundle":"https://pith.science/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/bundle.json","state":"https://pith.science/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQNAQQN2EGJNKNCDJ43R6LWLOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JQNAQQN2EGJNKNCDJ43R6LWLOF","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":"99e9b1dd125d1097b6f217b5b0dabc3db0f0355ba9409eb00b12d5538003a769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2012-06-05T12:32:59Z","title_canon_sha256":"2db411c4270755607478d70bdb74605066e774425572ca911e1678ed259cdb7c"},"schema_version":"1.0","source":{"id":"1206.1247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1247","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1247v1","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1247","created_at":"2026-05-18T03:54:06Z"},{"alias_kind":"pith_short_12","alias_value":"JQNAQQN2EGJN","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JQNAQQN2EGJNKNCD","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JQNAQQN2","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:a57e4ce7861e12a9c4c085abb4bce2d6f69458ca03351377969d16871c86e958","target":"graph","created_at":"2026-05-18T03:54:06Z","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":"Natural phenomenon of coevolution is the reciprocally induced evolutionary change between two or more species or population. Though this biological occurrence is a natural fact, there are only few attempts to use this as a simile in computation. This paper is an attempt to introduce reciprocally induced coevolution as a mechanism to counter problems faced by a typical genetic algorithm applied as an optimization technique. The domain selected for testing the efficacy of the procedure is the process of finding numerical solutions of Diophantine equations. Diophantine equations are polynomial eq","authors_text":"Mukund Sanglikar, Siby Abraham, Sugata Sanyal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2012-06-05T12:32:59Z","title":"Reciprocally induced coevolution: A computational metaphor in Mathematics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1247","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":"sha256:77f9bc9c8f00734df2e418f6252a57836abc6071c9c7ce6e8ff3ee0080b8a5af","target":"record","created_at":"2026-05-18T03:54:06Z","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":"99e9b1dd125d1097b6f217b5b0dabc3db0f0355ba9409eb00b12d5538003a769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2012-06-05T12:32:59Z","title_canon_sha256":"2db411c4270755607478d70bdb74605066e774425572ca911e1678ed259cdb7c"},"schema_version":"1.0","source":{"id":"1206.1247","kind":"arxiv","version":1}},"canonical_sha256":"4c1a0841ba2192d534434f371f2ecb714cc86309bef18886bd2411b09dd9c489","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c1a0841ba2192d534434f371f2ecb714cc86309bef18886bd2411b09dd9c489","first_computed_at":"2026-05-18T03:54:06.571423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:06.571423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"66oEc4vNgFV4dp85EewtZy64170GBsKgi/6CiEXJwtEaqbfiND9WcEpxwaMbya1oBPZxwrs+gUB3EMO+2X7jDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:06.571958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.1247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f9bc9c8f00734df2e418f6252a57836abc6071c9c7ce6e8ff3ee0080b8a5af","sha256:a57e4ce7861e12a9c4c085abb4bce2d6f69458ca03351377969d16871c86e958"],"state_sha256":"00b8d3c3a94e109903ca3ea3887d34064c2ce8d978efcf9a327e5d816518e168"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olh7up8wsWfoe87LA1m/21VKmufGtIEnIVukudvOA/eUdxwLsBXbnijTEWwFX7pT6iNU86jyd71AGribncWGCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:28:26.498159Z","bundle_sha256":"fb62ebe772029bed233fa70f14c1dc21a9a364c6f1313c25dfd6be9f8f2f74f7"}}