{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OPMQP74CFOUWHYCDUJYO4W77CP","short_pith_number":"pith:OPMQP74C","canonical_record":{"source":{"id":"1306.0896","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2013-06-04T18:36:22Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"276ac31eced17bd66b8851ff167f61304ba1522acd6913ebb8c9e7a7c3785ca7","abstract_canon_sha256":"3a3653f7cb0f80abc7359ed3607889f17f6245753adac37cf72be9525df3ed0b"},"schema_version":"1.0"},"canonical_sha256":"73d907ff822ba963e043a270ee5bff13f509ed8c7ec5cba797047043a0077388","source":{"kind":"arxiv","id":"1306.0896","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0896","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0896v1","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0896","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"OPMQP74CFOUW","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OPMQP74CFOUWHYCD","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OPMQP74C","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OPMQP74CFOUWHYCDUJYO4W77CP","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0896","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2013-06-04T18:36:22Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"276ac31eced17bd66b8851ff167f61304ba1522acd6913ebb8c9e7a7c3785ca7","abstract_canon_sha256":"3a3653f7cb0f80abc7359ed3607889f17f6245753adac37cf72be9525df3ed0b"},"schema_version":"1.0"},"canonical_sha256":"73d907ff822ba963e043a270ee5bff13f509ed8c7ec5cba797047043a0077388","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:44.913535Z","signature_b64":"mnza9E9xCFF7yZnBpbEG3Dd50rB5fEnjuDgwYhKJRQDrlNnp/Bc1XzEeckPFRC9RMOaK5OwB0rCjKHQUthd9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d907ff822ba963e043a270ee5bff13f509ed8c7ec5cba797047043a0077388","last_reissued_at":"2026-05-18T03:21:44.913030Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:44.913030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0896","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":"2026-05-18T03:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lG7o8dvuxrddYB7HK6LxC4zWBs2z5p5I8ZcRjrSid+AZE+XPITEOycXpdnc9tmQ9njb6lXdaEFuMU3Ibv7ZXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:14:51.818611Z"},"content_sha256":"91e6495805968a29e2165af992529edabd0e11cdb76200bdb2513d3a36d58937","schema_version":"1.0","event_id":"sha256:91e6495805968a29e2165af992529edabd0e11cdb76200bdb2513d3a36d58937"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OPMQP74CFOUWHYCDUJYO4W77CP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finding Numerical Solutions of Diophantine Equations using Ant Colony Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"cs.NE","authors_text":"Mukund Sanglikar, Siby Abraham, Sugata Sanyal","submitted_at":"2013-06-04T18:36:22Z","abstract_excerpt":"The paper attempts to find numerical solutions of Diophantine equations, a challenging problem as there are no general methods to find solutions of such equations. It uses the metaphor of foraging habits of real ants. The ant colony optimization based procedure starts with randomly assigned locations to a fixed number of artificial ants. Depending upon the quality of these positions, ants deposit pheromone at the nodes. A successor node is selected from the topological neighborhood of each of the nodes based on this stochastic pheromone deposit. If an ant bumps into an already encountered node"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0896","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":"2026-05-18T03:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tu+2rzBvTvjNHz3e2x9VVG9xqO8KUwIORCeonqkMN+3eIaopcOd4JL7/GI52lEyO+RBsE6QS3XeiBjmibojCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:14:51.818998Z"},"content_sha256":"de3e10ff5ff7664ed31bfabae72c119d87896affbb9ff756513af4add743785c","schema_version":"1.0","event_id":"sha256:de3e10ff5ff7664ed31bfabae72c119d87896affbb9ff756513af4add743785c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPMQP74CFOUWHYCDUJYO4W77CP/bundle.json","state_url":"https://pith.science/pith/OPMQP74CFOUWHYCDUJYO4W77CP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPMQP74CFOUWHYCDUJYO4W77CP/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":"2026-05-30T07:14:51Z","links":{"resolver":"https://pith.science/pith/OPMQP74CFOUWHYCDUJYO4W77CP","bundle":"https://pith.science/pith/OPMQP74CFOUWHYCDUJYO4W77CP/bundle.json","state":"https://pith.science/pith/OPMQP74CFOUWHYCDUJYO4W77CP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPMQP74CFOUWHYCDUJYO4W77CP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OPMQP74CFOUWHYCDUJYO4W77CP","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":"3a3653f7cb0f80abc7359ed3607889f17f6245753adac37cf72be9525df3ed0b","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2013-06-04T18:36:22Z","title_canon_sha256":"276ac31eced17bd66b8851ff167f61304ba1522acd6913ebb8c9e7a7c3785ca7"},"schema_version":"1.0","source":{"id":"1306.0896","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0896","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0896v1","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0896","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"OPMQP74CFOUW","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OPMQP74CFOUWHYCD","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OPMQP74C","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:de3e10ff5ff7664ed31bfabae72c119d87896affbb9ff756513af4add743785c","target":"graph","created_at":"2026-05-18T03:21:44Z","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 paper attempts to find numerical solutions of Diophantine equations, a challenging problem as there are no general methods to find solutions of such equations. It uses the metaphor of foraging habits of real ants. The ant colony optimization based procedure starts with randomly assigned locations to a fixed number of artificial ants. Depending upon the quality of these positions, ants deposit pheromone at the nodes. A successor node is selected from the topological neighborhood of each of the nodes based on this stochastic pheromone deposit. If an ant bumps into an already encountered node","authors_text":"Mukund Sanglikar, Siby Abraham, Sugata Sanyal","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2013-06-04T18:36:22Z","title":"Finding Numerical Solutions of Diophantine Equations using Ant Colony Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0896","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":"sha256:91e6495805968a29e2165af992529edabd0e11cdb76200bdb2513d3a36d58937","target":"record","created_at":"2026-05-18T03:21:44Z","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":"3a3653f7cb0f80abc7359ed3607889f17f6245753adac37cf72be9525df3ed0b","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2013-06-04T18:36:22Z","title_canon_sha256":"276ac31eced17bd66b8851ff167f61304ba1522acd6913ebb8c9e7a7c3785ca7"},"schema_version":"1.0","source":{"id":"1306.0896","kind":"arxiv","version":1}},"canonical_sha256":"73d907ff822ba963e043a270ee5bff13f509ed8c7ec5cba797047043a0077388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73d907ff822ba963e043a270ee5bff13f509ed8c7ec5cba797047043a0077388","first_computed_at":"2026-05-18T03:21:44.913030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:44.913030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mnza9E9xCFF7yZnBpbEG3Dd50rB5fEnjuDgwYhKJRQDrlNnp/Bc1XzEeckPFRC9RMOaK5OwB0rCjKHQUthd9BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:44.913535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0896","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91e6495805968a29e2165af992529edabd0e11cdb76200bdb2513d3a36d58937","sha256:de3e10ff5ff7664ed31bfabae72c119d87896affbb9ff756513af4add743785c"],"state_sha256":"c2319384172ae5ca4db195be5eaabda956d38a788f2b66dbd05494af9044e82f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YxOIyS2Yuwd4VD7XCVJSiY09bvpq3NtqfJfSpE4LW81eFnvr9u2huM7S4aOBHJQqUXL4FGiRO8Z3Nr0/fLKxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:14:51.820950Z","bundle_sha256":"1003d92217a71f6d09b61cf479ede7403045ffdedbf691fa98334dc80784f5ea"}}