{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DBO477IYI3PP75EUA3EP7HZSGL","short_pith_number":"pith:DBO477IY","canonical_record":{"source":{"id":"1502.02110","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T08:01:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d370de0c44124757d39d231b72755162280faa1851d1cf3dc34cf1c413e701c8","abstract_canon_sha256":"59629be34f8639e00d460fb33b1113c89f318d7e7c537042021d587554ac7a66"},"schema_version":"1.0"},"canonical_sha256":"185dcffd1846defff49406c8ff9f3232f9a40e6c938a6ba9f9dc745e7e3d3950","source":{"kind":"arxiv","id":"1502.02110","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02110","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02110v2","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02110","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"DBO477IYI3PP","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DBO477IYI3PP75EU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DBO477IY","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DBO477IYI3PP75EUA3EP7HZSGL","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02110","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T08:01:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d370de0c44124757d39d231b72755162280faa1851d1cf3dc34cf1c413e701c8","abstract_canon_sha256":"59629be34f8639e00d460fb33b1113c89f318d7e7c537042021d587554ac7a66"},"schema_version":"1.0"},"canonical_sha256":"185dcffd1846defff49406c8ff9f3232f9a40e6c938a6ba9f9dc745e7e3d3950","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:55.545137Z","signature_b64":"UYc473eYFsRnF43TwqehkFjjiWDaE2y/uSYs9Pz/FkAJkm1r1qLinMEu5aOYbAluXfeppjneRGxOewOnfjcYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"185dcffd1846defff49406c8ff9f3232f9a40e6c938a6ba9f9dc745e7e3d3950","last_reissued_at":"2026-05-18T01:25:55.544625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:55.544625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02110","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nCtocGEydfLvq4rqiR3vc69+aBYKJ9c3lqcnfIt9BD+KuP0IidDUcWO3fOI8PKOa8DWBspY0lnlpzf23aPFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:23:35.773526Z"},"content_sha256":"719ef3e3f7723eb642147b9f7f666ddb6ed5860fc3c07302933d18a4d4eab8ee","schema_version":"1.0","event_id":"sha256:719ef3e3f7723eb642147b9f7f666ddb6ed5860fc3c07302933d18a4d4eab8ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DBO477IYI3PP75EUA3EP7HZSGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Hong-shi Zong, Yong-Long Wang","submitted_at":"2015-02-07T08:01:09Z","abstract_excerpt":"We clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in $q_3$ ($q_3$ denotes the curvilinear coordinate variable perpendicular to curved surface) back into the surface quantum equation. The well-known geometric potential and kinetic term are modified by the surface thickness. Applying the developed formalism to a toroidal system obtains the modification for the kinetic term and the modified geometric potential including the influence of the surface thickness."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02110","kind":"arxiv","version":2},"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":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0hlVfOMgIzO/tUZntZA3g3iCiL2YoabxPxYYL28ztn/ePeMSw+ovTCXklF+Emf645fmvii6/Ii4oMw2y3np4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:23:35.773871Z"},"content_sha256":"2185f4ff682fac6bcb13e69d6675be02853dfaa28f0d502c1831dc562fd11670","schema_version":"1.0","event_id":"sha256:2185f4ff682fac6bcb13e69d6675be02853dfaa28f0d502c1831dc562fd11670"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DBO477IYI3PP75EUA3EP7HZSGL/bundle.json","state_url":"https://pith.science/pith/DBO477IYI3PP75EUA3EP7HZSGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DBO477IYI3PP75EUA3EP7HZSGL/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":"2026-06-05T11:23:35Z","links":{"resolver":"https://pith.science/pith/DBO477IYI3PP75EUA3EP7HZSGL","bundle":"https://pith.science/pith/DBO477IYI3PP75EUA3EP7HZSGL/bundle.json","state":"https://pith.science/pith/DBO477IYI3PP75EUA3EP7HZSGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DBO477IYI3PP75EUA3EP7HZSGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DBO477IYI3PP75EUA3EP7HZSGL","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":"59629be34f8639e00d460fb33b1113c89f318d7e7c537042021d587554ac7a66","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T08:01:09Z","title_canon_sha256":"d370de0c44124757d39d231b72755162280faa1851d1cf3dc34cf1c413e701c8"},"schema_version":"1.0","source":{"id":"1502.02110","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02110","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02110v2","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02110","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"DBO477IYI3PP","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DBO477IYI3PP75EU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DBO477IY","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:2185f4ff682fac6bcb13e69d6675be02853dfaa28f0d502c1831dc562fd11670","target":"graph","created_at":"2026-05-18T01:25:55Z","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 clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in $q_3$ ($q_3$ denotes the curvilinear coordinate variable perpendicular to curved surface) back into the surface quantum equation. The well-known geometric potential and kinetic term are modified by the surface thickness. Applying the developed formalism to a toroidal system obtains the modification for the kinetic term and the modified geometric potential including the influence of the surface thickness.","authors_text":"Hong-shi Zong, Yong-Long Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T08:01:09Z","title":"Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02110","kind":"arxiv","version":2},"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":"sha256:719ef3e3f7723eb642147b9f7f666ddb6ed5860fc3c07302933d18a4d4eab8ee","target":"record","created_at":"2026-05-18T01:25:55Z","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":"59629be34f8639e00d460fb33b1113c89f318d7e7c537042021d587554ac7a66","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T08:01:09Z","title_canon_sha256":"d370de0c44124757d39d231b72755162280faa1851d1cf3dc34cf1c413e701c8"},"schema_version":"1.0","source":{"id":"1502.02110","kind":"arxiv","version":2}},"canonical_sha256":"185dcffd1846defff49406c8ff9f3232f9a40e6c938a6ba9f9dc745e7e3d3950","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"185dcffd1846defff49406c8ff9f3232f9a40e6c938a6ba9f9dc745e7e3d3950","first_computed_at":"2026-05-18T01:25:55.544625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:55.544625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UYc473eYFsRnF43TwqehkFjjiWDaE2y/uSYs9Pz/FkAJkm1r1qLinMEu5aOYbAluXfeppjneRGxOewOnfjcYBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:55.545137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02110","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:719ef3e3f7723eb642147b9f7f666ddb6ed5860fc3c07302933d18a4d4eab8ee","sha256:2185f4ff682fac6bcb13e69d6675be02853dfaa28f0d502c1831dc562fd11670"],"state_sha256":"e0e596583f1d9eaf9217d1186676ab94d0a74b3cc4dfe19b4cfa6defaedc624f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JyFOBIbbwfHBqJAzQS/WSHFs2fxEk76E/XXzc6ZZMHXbKmoUozItVrNhH8vrbtoeocBU37gBHWhkD/moy1p3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T11:23:35.775816Z","bundle_sha256":"acb078aa63db720a7442dd58880c135a67ab5657a8d60e2ffc5d6c967b691899"}}