{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SR464M2OBHWTVPETIMR74BNOF7","short_pith_number":"pith:SR464M2O","canonical_record":{"source":{"id":"1509.01079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-03T13:36:27Z","cross_cats_sorted":[],"title_canon_sha256":"6f6799531c6ccafff7349a568288c1a9a4f2fd86b8c8aed7daf9d5ee373d6537","abstract_canon_sha256":"7d8d643bf52e3965a4d2c832315891670a66045ac088523be01e7e22799d753f"},"schema_version":"1.0"},"canonical_sha256":"9479ee334e09ed3abc934323fe05ae2fc5bae94b7de88c6cd056e32d2a2ae490","source":{"kind":"arxiv","id":"1509.01079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01079","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01079v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01079","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"SR464M2OBHWT","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SR464M2OBHWTVPET","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SR464M2O","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SR464M2OBHWTVPETIMR74BNOF7","target":"record","payload":{"canonical_record":{"source":{"id":"1509.01079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-03T13:36:27Z","cross_cats_sorted":[],"title_canon_sha256":"6f6799531c6ccafff7349a568288c1a9a4f2fd86b8c8aed7daf9d5ee373d6537","abstract_canon_sha256":"7d8d643bf52e3965a4d2c832315891670a66045ac088523be01e7e22799d753f"},"schema_version":"1.0"},"canonical_sha256":"9479ee334e09ed3abc934323fe05ae2fc5bae94b7de88c6cd056e32d2a2ae490","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:04.367111Z","signature_b64":"22SyMmWZzMlVWtFpUbPj4CrtjBbHjQy+LheMNnwWdp1SZHeOJmbnn4pXYDiRtEnwkvx4oM0YG/9Um5S7AOJOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9479ee334e09ed3abc934323fe05ae2fc5bae94b7de88c6cd056e32d2a2ae490","last_reissued_at":"2026-05-18T01:34:04.366481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:04.366481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.01079","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"itGTnc14Hk0eeN/q2b5DpLPBgb3hJtjXJkop0MBSNqpqZEO+TqFXFQxm8lItbMCodJH0svC9KWhM7wocoKrnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:39:22.788887Z"},"content_sha256":"ed565b049c6d3fe0248782dc42b996cdace231273e1f2f3cfc23cebb83a76ef7","schema_version":"1.0","event_id":"sha256:ed565b049c6d3fe0248782dc42b996cdace231273e1f2f3cfc23cebb83a76ef7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SR464M2OBHWTVPETIMR74BNOF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Marat Akhmet, Mehmet Onur Fen, Mokhtar Kirane","submitted_at":"2015-09-03T13:36:27Z","abstract_excerpt":"We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated. An illustrative example is provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01079","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdud2SirsjT5TTx+G3o9kvo/0/7KHB41DrXVc70xfEfhzAE82ET1YVisdzTSwxjHi4YPhrl6hmyq4ARkUiYRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:39:22.789230Z"},"content_sha256":"963a123a1007da9723e7661c1195537e10fdd058fd76418e7977127aca638a1e","schema_version":"1.0","event_id":"sha256:963a123a1007da9723e7661c1195537e10fdd058fd76418e7977127aca638a1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SR464M2OBHWTVPETIMR74BNOF7/bundle.json","state_url":"https://pith.science/pith/SR464M2OBHWTVPETIMR74BNOF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SR464M2OBHWTVPETIMR74BNOF7/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":"2026-06-07T07:39:22Z","links":{"resolver":"https://pith.science/pith/SR464M2OBHWTVPETIMR74BNOF7","bundle":"https://pith.science/pith/SR464M2OBHWTVPETIMR74BNOF7/bundle.json","state":"https://pith.science/pith/SR464M2OBHWTVPETIMR74BNOF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SR464M2OBHWTVPETIMR74BNOF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SR464M2OBHWTVPETIMR74BNOF7","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":"7d8d643bf52e3965a4d2c832315891670a66045ac088523be01e7e22799d753f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-03T13:36:27Z","title_canon_sha256":"6f6799531c6ccafff7349a568288c1a9a4f2fd86b8c8aed7daf9d5ee373d6537"},"schema_version":"1.0","source":{"id":"1509.01079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01079","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01079v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01079","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"SR464M2OBHWT","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SR464M2OBHWTVPET","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SR464M2O","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:963a123a1007da9723e7661c1195537e10fdd058fd76418e7977127aca638a1e","target":"graph","created_at":"2026-05-18T01:34:04Z","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":"We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated. An illustrative example is provided.","authors_text":"Marat Akhmet, Mehmet Onur Fen, Mokhtar Kirane","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-03T13:36:27Z","title":"Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01079","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:ed565b049c6d3fe0248782dc42b996cdace231273e1f2f3cfc23cebb83a76ef7","target":"record","created_at":"2026-05-18T01:34:04Z","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":"7d8d643bf52e3965a4d2c832315891670a66045ac088523be01e7e22799d753f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-03T13:36:27Z","title_canon_sha256":"6f6799531c6ccafff7349a568288c1a9a4f2fd86b8c8aed7daf9d5ee373d6537"},"schema_version":"1.0","source":{"id":"1509.01079","kind":"arxiv","version":1}},"canonical_sha256":"9479ee334e09ed3abc934323fe05ae2fc5bae94b7de88c6cd056e32d2a2ae490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9479ee334e09ed3abc934323fe05ae2fc5bae94b7de88c6cd056e32d2a2ae490","first_computed_at":"2026-05-18T01:34:04.366481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:04.366481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"22SyMmWZzMlVWtFpUbPj4CrtjBbHjQy+LheMNnwWdp1SZHeOJmbnn4pXYDiRtEnwkvx4oM0YG/9Um5S7AOJOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:04.367111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed565b049c6d3fe0248782dc42b996cdace231273e1f2f3cfc23cebb83a76ef7","sha256:963a123a1007da9723e7661c1195537e10fdd058fd76418e7977127aca638a1e"],"state_sha256":"4c23b1ea0447423cd8145fee35da8dfc4fc33a342352cb7814edabf3b0a98f83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DSlD8PcPW+LgBVreHFYX3fvK/YYLvLag29NNnuQkPmqKiM/2obe3HEr2/6IL7uDg/tr3pAKmViUjGzf7CJxUBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:39:22.791336Z","bundle_sha256":"a47fba565c2ad5e30a4c8c99b25c59e4f0d182c4f1684477146c87de986fdc40"}}