{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GKBCRYZT3MDTFS5E7OTNRYEJXY","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":"80dbb337ef0db19a22b51b62151c83d9add1ffca837bec4fe3309bda6f0e65c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-03T00:12:34Z","title_canon_sha256":"40249d0379e496a8ac31e42582b8ef82ff1982e7505bb2622dedadbcead1115e"},"schema_version":"1.0","source":{"id":"1512.00909","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00909","created_at":"2026-05-18T01:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00909v1","created_at":"2026-05-18T01:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00909","created_at":"2026-05-18T01:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"GKBCRYZT3MDT","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GKBCRYZT3MDTFS5E","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GKBCRYZT","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:59d5ba78e1f31e66cbcfd86ec7fc226af6b424533654d16ffdf78d4ea46ee77e","target":"graph","created_at":"2026-05-18T01:24:02Z","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 prove existence of solution to a nonlinear first-order nabla dynamic equation on an arbitrary bounded time scale with boundary conditions, where the right-hand side of the dynamic equation is a continuous function.","authors_text":"Ahmed Hammoudi, Benaoumeur Bayour, Delfim F. M. Torres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-03T00:12:34Z","title":"Existence of solution to a nonlinear first-order dynamic equation on time scales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00909","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:c1bd167ca6c651aa469a19cb1b001491b8e9ff721791e66daeaa61dcc2730cdd","target":"record","created_at":"2026-05-18T01:24:02Z","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":"80dbb337ef0db19a22b51b62151c83d9add1ffca837bec4fe3309bda6f0e65c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-03T00:12:34Z","title_canon_sha256":"40249d0379e496a8ac31e42582b8ef82ff1982e7505bb2622dedadbcead1115e"},"schema_version":"1.0","source":{"id":"1512.00909","kind":"arxiv","version":1}},"canonical_sha256":"328228e333db0732cba4fba6d8e089be18d25bca00e66f7bbf9c0f537b71ab0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"328228e333db0732cba4fba6d8e089be18d25bca00e66f7bbf9c0f537b71ab0b","first_computed_at":"2026-05-18T01:24:02.895479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:02.895479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+cuM9AXenwTjlASEbTbQDMSbcMzvD8Lk4KkOAdUt3BU8o7d/EbUo//3W3cUuaPdTTaEO1CHTNRhjYk26Pd4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:02.895974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00909","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1bd167ca6c651aa469a19cb1b001491b8e9ff721791e66daeaa61dcc2730cdd","sha256:59d5ba78e1f31e66cbcfd86ec7fc226af6b424533654d16ffdf78d4ea46ee77e"],"state_sha256":"f150607ab624577f93a1df817deb5dc3faeeb0110e4330ac476b791f37f2d98d"}