{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:277UVRM5EECJLFK4BGG56OL5PA","short_pith_number":"pith:277UVRM5","canonical_record":{"source":{"id":"1401.8232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-31T17:10:20Z","cross_cats_sorted":[],"title_canon_sha256":"bf5dee692bbfc3f10c8bc3dfda278a30cbe4e804b3c297c6687596c8c4377c70","abstract_canon_sha256":"b99189759aa758bb6d836edd6aea690e7151df781004dfb60e75304a7223ccf1"},"schema_version":"1.0"},"canonical_sha256":"d7ff4ac59d210495955c098ddf397d782e43e254766aa4f1eaadc1f5ac2ae9f6","source":{"kind":"arxiv","id":"1401.8232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8232","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8232v1","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8232","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"277UVRM5EECJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"277UVRM5EECJLFK4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"277UVRM5","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:277UVRM5EECJLFK4BGG56OL5PA","target":"record","payload":{"canonical_record":{"source":{"id":"1401.8232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-31T17:10:20Z","cross_cats_sorted":[],"title_canon_sha256":"bf5dee692bbfc3f10c8bc3dfda278a30cbe4e804b3c297c6687596c8c4377c70","abstract_canon_sha256":"b99189759aa758bb6d836edd6aea690e7151df781004dfb60e75304a7223ccf1"},"schema_version":"1.0"},"canonical_sha256":"d7ff4ac59d210495955c098ddf397d782e43e254766aa4f1eaadc1f5ac2ae9f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:33.986794Z","signature_b64":"EHNSIfswpEzQ8vSeNYJRjXRwvyZUe/RWHW7evk/Ha5QgHBo/hFiBlI+cWNF62eoH7krpmFfLpl+T/mEALprSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7ff4ac59d210495955c098ddf397d782e43e254766aa4f1eaadc1f5ac2ae9f6","last_reissued_at":"2026-05-18T02:52:33.986355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:33.986355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.8232","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":"2026-05-18T02:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0Y1O2RQHI835OvqCIzPb3SeGRRGMaJ0vnHIOp9PTFakna9z5zP6fivzxKYXHxnKTo58uYVKg5V7RdwIodY6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:12:44.939257Z"},"content_sha256":"dfba54a7087577a9245c73869f955590d971341326281530afe55e8755b7c5db","schema_version":"1.0","event_id":"sha256:dfba54a7087577a9245c73869f955590d971341326281530afe55e8755b7c5db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:277UVRM5EECJLFK4BGG56OL5PA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Agnieszka B. Malinowska, Delfim F. M. Torres, Monika Dryl","submitted_at":"2014-01-31T17:10:20Z","abstract_excerpt":"We consider an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variational functional that attains a local minimum at a given point of the vector space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8232","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":"2026-05-18T02:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7erJGqHMisXqh3JiU59hLsm31qtuo2JHvYRSD8Ib5IkUkJefOwMmo7qBa4n+62mVs/Q8ejBcCUDmWTxAqFRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:12:44.940011Z"},"content_sha256":"6c9e7705136141cc4c5327614fc85de6ae75ace9401d70d835cee47fe3d54bce","schema_version":"1.0","event_id":"sha256:6c9e7705136141cc4c5327614fc85de6ae75ace9401d70d835cee47fe3d54bce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/277UVRM5EECJLFK4BGG56OL5PA/bundle.json","state_url":"https://pith.science/pith/277UVRM5EECJLFK4BGG56OL5PA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/277UVRM5EECJLFK4BGG56OL5PA/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":"2026-06-26T12:12:44Z","links":{"resolver":"https://pith.science/pith/277UVRM5EECJLFK4BGG56OL5PA","bundle":"https://pith.science/pith/277UVRM5EECJLFK4BGG56OL5PA/bundle.json","state":"https://pith.science/pith/277UVRM5EECJLFK4BGG56OL5PA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/277UVRM5EECJLFK4BGG56OL5PA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:277UVRM5EECJLFK4BGG56OL5PA","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":"b99189759aa758bb6d836edd6aea690e7151df781004dfb60e75304a7223ccf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-31T17:10:20Z","title_canon_sha256":"bf5dee692bbfc3f10c8bc3dfda278a30cbe4e804b3c297c6687596c8c4377c70"},"schema_version":"1.0","source":{"id":"1401.8232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8232","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8232v1","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8232","created_at":"2026-05-18T02:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"277UVRM5EECJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"277UVRM5EECJLFK4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"277UVRM5","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:6c9e7705136141cc4c5327614fc85de6ae75ace9401d70d835cee47fe3d54bce","target":"graph","created_at":"2026-05-18T02:52:33Z","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 an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variational functional that attains a local minimum at a given point of the vector space.","authors_text":"Agnieszka B. Malinowska, Delfim F. M. Torres, Monika Dryl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-31T17:10:20Z","title":"An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8232","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:dfba54a7087577a9245c73869f955590d971341326281530afe55e8755b7c5db","target":"record","created_at":"2026-05-18T02:52:33Z","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":"b99189759aa758bb6d836edd6aea690e7151df781004dfb60e75304a7223ccf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-31T17:10:20Z","title_canon_sha256":"bf5dee692bbfc3f10c8bc3dfda278a30cbe4e804b3c297c6687596c8c4377c70"},"schema_version":"1.0","source":{"id":"1401.8232","kind":"arxiv","version":1}},"canonical_sha256":"d7ff4ac59d210495955c098ddf397d782e43e254766aa4f1eaadc1f5ac2ae9f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7ff4ac59d210495955c098ddf397d782e43e254766aa4f1eaadc1f5ac2ae9f6","first_computed_at":"2026-05-18T02:52:33.986355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:33.986355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EHNSIfswpEzQ8vSeNYJRjXRwvyZUe/RWHW7evk/Ha5QgHBo/hFiBlI+cWNF62eoH7krpmFfLpl+T/mEALprSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:33.986794Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.8232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfba54a7087577a9245c73869f955590d971341326281530afe55e8755b7c5db","sha256:6c9e7705136141cc4c5327614fc85de6ae75ace9401d70d835cee47fe3d54bce"],"state_sha256":"cfcc6cdc0e6ce7bc6c1739845b0088ecf8e9b36a3aa0df254f0a0dabb7b905ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ju1r1OisnLMT1i8IhnQKcl1Dh8MxMLgD07ZKvi8qz9OHw1XCo+DV1ByoN2HGh7Kj8zEe5IN9xBq56s0DmdyQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T12:12:44.944357Z","bundle_sha256":"d33b284a60a3d00cf68f8375daaee6da445c7325667124ed8229a041f54a3309"}}