{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3GARBOY2IJD33BVHDAHIVYMH6B","short_pith_number":"pith:3GARBOY2","canonical_record":{"source":{"id":"1405.2996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-12T23:18:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7eb46f4cc81a54c126aaba63b81e4736a94cf3e8fcbf70d9910af84f04c7a86c","abstract_canon_sha256":"245ef6a1c9838ab2180de2eb8c2a0b45b56a10efe0ff9c65fdf30c2b16732b14"},"schema_version":"1.0"},"canonical_sha256":"d98110bb1a4247bd86a7180e8ae187f06d76f7638fed3824069f52f8980f16e4","source":{"kind":"arxiv","id":"1405.2996","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2996","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2996v1","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2996","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"3GARBOY2IJD3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3GARBOY2IJD33BVH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3GARBOY2","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3GARBOY2IJD33BVHDAHIVYMH6B","target":"record","payload":{"canonical_record":{"source":{"id":"1405.2996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-12T23:18:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7eb46f4cc81a54c126aaba63b81e4736a94cf3e8fcbf70d9910af84f04c7a86c","abstract_canon_sha256":"245ef6a1c9838ab2180de2eb8c2a0b45b56a10efe0ff9c65fdf30c2b16732b14"},"schema_version":"1.0"},"canonical_sha256":"d98110bb1a4247bd86a7180e8ae187f06d76f7638fed3824069f52f8980f16e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:21.116267Z","signature_b64":"/a0mHIy444MoD4zO9bYXRO1o3UpbvDFeilv8BrGf9KH9KUZVYZahl9GK993BacZL8kPHt+QyKtSuITWqDacMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d98110bb1a4247bd86a7180e8ae187f06d76f7638fed3824069f52f8980f16e4","last_reissued_at":"2026-05-18T02:31:21.115787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:21.115787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.2996","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":"2026-05-18T02:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCF7e5l4LcWY+NZ4YgBUzOllsCyITK5mUs33EnxBwhghBgy45ESHJMndnnj3ImKGHy7xR5dzONOhKd13BOxtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:06:03.090686Z"},"content_sha256":"84e60022f7e7e00726d3d47d40153964859d7b32e57f71b5b1d988aedb70bdbd","schema_version":"1.0","event_id":"sha256:84e60022f7e7e00726d3d47d40153964859d7b32e57f71b5b1d988aedb70bdbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3GARBOY2IJD33BVHDAHIVYMH6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.OC","authors_text":"Delfim F. M. Torres, Gastao S. F. Frederico","submitted_at":"2014-05-12T23:18:22Z","abstract_excerpt":"We prove a DuBois-Reymond necessary optimality condition and a Noether symmetry theorem to the recent quantum variational calculus of Cresson. The results are valid for problems of the calculus of variations with functionals defined on sets of nondifferentiable functions. As an application, we obtain a constant of motion for a linear Schrodinger equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2996","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":"2026-05-18T02:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iF/McJmz4j9j/JtmN8VI2SqQSwRt5bh8QFklu00vd6/CZbePFo9+X9cqZINH+W2RLy3B4nXjjQhVB8X1IKuqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:06:03.091048Z"},"content_sha256":"edf0873b5d4cda4bb6649afcd97561b268de3337625f97a1a01c39f5e33c23b2","schema_version":"1.0","event_id":"sha256:edf0873b5d4cda4bb6649afcd97561b268de3337625f97a1a01c39f5e33c23b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3GARBOY2IJD33BVHDAHIVYMH6B/bundle.json","state_url":"https://pith.science/pith/3GARBOY2IJD33BVHDAHIVYMH6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3GARBOY2IJD33BVHDAHIVYMH6B/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":"2026-06-21T13:06:03Z","links":{"resolver":"https://pith.science/pith/3GARBOY2IJD33BVHDAHIVYMH6B","bundle":"https://pith.science/pith/3GARBOY2IJD33BVHDAHIVYMH6B/bundle.json","state":"https://pith.science/pith/3GARBOY2IJD33BVHDAHIVYMH6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3GARBOY2IJD33BVHDAHIVYMH6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3GARBOY2IJD33BVHDAHIVYMH6B","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":"245ef6a1c9838ab2180de2eb8c2a0b45b56a10efe0ff9c65fdf30c2b16732b14","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-12T23:18:22Z","title_canon_sha256":"7eb46f4cc81a54c126aaba63b81e4736a94cf3e8fcbf70d9910af84f04c7a86c"},"schema_version":"1.0","source":{"id":"1405.2996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2996","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2996v1","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2996","created_at":"2026-05-18T02:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"3GARBOY2IJD3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3GARBOY2IJD33BVH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3GARBOY2","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:edf0873b5d4cda4bb6649afcd97561b268de3337625f97a1a01c39f5e33c23b2","target":"graph","created_at":"2026-05-18T02:31:21Z","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 a DuBois-Reymond necessary optimality condition and a Noether symmetry theorem to the recent quantum variational calculus of Cresson. The results are valid for problems of the calculus of variations with functionals defined on sets of nondifferentiable functions. As an application, we obtain a constant of motion for a linear Schrodinger equation.","authors_text":"Delfim F. M. Torres, Gastao S. F. Frederico","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-12T23:18:22Z","title":"Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2996","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":"sha256:84e60022f7e7e00726d3d47d40153964859d7b32e57f71b5b1d988aedb70bdbd","target":"record","created_at":"2026-05-18T02:31:21Z","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":"245ef6a1c9838ab2180de2eb8c2a0b45b56a10efe0ff9c65fdf30c2b16732b14","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-12T23:18:22Z","title_canon_sha256":"7eb46f4cc81a54c126aaba63b81e4736a94cf3e8fcbf70d9910af84f04c7a86c"},"schema_version":"1.0","source":{"id":"1405.2996","kind":"arxiv","version":1}},"canonical_sha256":"d98110bb1a4247bd86a7180e8ae187f06d76f7638fed3824069f52f8980f16e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d98110bb1a4247bd86a7180e8ae187f06d76f7638fed3824069f52f8980f16e4","first_computed_at":"2026-05-18T02:31:21.115787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:21.115787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/a0mHIy444MoD4zO9bYXRO1o3UpbvDFeilv8BrGf9KH9KUZVYZahl9GK993BacZL8kPHt+QyKtSuITWqDacMBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:21.116267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84e60022f7e7e00726d3d47d40153964859d7b32e57f71b5b1d988aedb70bdbd","sha256:edf0873b5d4cda4bb6649afcd97561b268de3337625f97a1a01c39f5e33c23b2"],"state_sha256":"9441f8f67dea8f5701864b1af57ea29a2d1ed3e2c40cf5f2f7bd1fdd1536bfd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xiVZEcEqYKFs6jeZfKvsgyO3pjdt0XczvBR2ovc2wDI44C7rhJwBiOGuYdJCdZXo9UrSxtoZ0XujHGFhfqEQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T13:06:03.093065Z","bundle_sha256":"5b0bbba9fe45be1f2287fc3908075ac37e5287b97a0bce30600ffe1352e68054"}}