{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:HG4FK2JWEERHFU445NO3MXLN5M","short_pith_number":"pith:HG4FK2JW","canonical_record":{"source":{"id":"solv-int/9510001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1995-10-10T09:46:27Z","cross_cats_sorted":["hep-th","nlin.SI","quant-ph"],"title_canon_sha256":"679683800d6f26cd247836fb5ddc7ffec7144c5b6d9eb0b2d49e30b7b33199cc","abstract_canon_sha256":"e40f7cb099df7a0e83199625028925f2ab782cbf75d2527bde27b34be118de80"},"schema_version":"1.0"},"canonical_sha256":"39b8556936212272d39ceb5db65d6deb31acd5060e1b555c3b856f51757785d2","source":{"kind":"arxiv","id":"solv-int/9510001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9510001","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9510001v1","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9510001","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"HG4FK2JWEERH","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_16","alias_value":"HG4FK2JWEERHFU44","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_8","alias_value":"HG4FK2JW","created_at":"2026-07-04T15:21:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:HG4FK2JWEERHFU445NO3MXLN5M","target":"record","payload":{"canonical_record":{"source":{"id":"solv-int/9510001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1995-10-10T09:46:27Z","cross_cats_sorted":["hep-th","nlin.SI","quant-ph"],"title_canon_sha256":"679683800d6f26cd247836fb5ddc7ffec7144c5b6d9eb0b2d49e30b7b33199cc","abstract_canon_sha256":"e40f7cb099df7a0e83199625028925f2ab782cbf75d2527bde27b34be118de80"},"schema_version":"1.0"},"canonical_sha256":"39b8556936212272d39ceb5db65d6deb31acd5060e1b555c3b856f51757785d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:21:41.952546Z","signature_b64":"o4aTa0N4BFWH3phfR6Njcats6lUh5DLMNroOTvIuSv3cmd1XkznF2epHYrFC21gNW6AeliF6kMENiJn4htO7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39b8556936212272d39ceb5db65d6deb31acd5060e1b555c3b856f51757785d2","last_reissued_at":"2026-07-04T15:21:41.952159Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:21:41.952159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"solv-int/9510001","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":"2026-07-04T15:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ChU17/jl+55U19J2vmACE0sDPEVy81dkYYTIjIZsUziUAm+Y4U4ykIWaqieAtT8uxUVfE3UaPmzg9xlhuMSFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:13:39.609514Z"},"content_sha256":"81d1c0e7d5e3802e8ace7c5229891faab2e1b1fb7eb07b3f95c53cc6b83f231c","schema_version":"1.0","event_id":"sha256:81d1c0e7d5e3802e8ace7c5229891faab2e1b1fb7eb07b3f95c53cc6b83f231c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:HG4FK2JWEERHFU445NO3MXLN5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Integrable Doebner-Goldin Equations","license":"","headline":"","cross_cats":["hep-th","nlin.SI","quant-ph"],"primary_cat":"solv-int","authors_text":"P. Nattermann, R. Zhdanov","submitted_at":"1995-10-10T09:46:27Z","abstract_excerpt":"We suggest a method for integrating sub-families of a family of nonlinear {\\sc Schr\\\"odinger} equations proposed by {\\sc H.-D.~Doebner} and {\\sc G.A.~Goldin} in the 1+1 dimensional case which have exceptional {\\sc Lie} symmetries. Since the method of integration involves non-local transformations of dependent and independent variables, general solutions obtained include implicitly determined functions. By properly specifying one of the arbitrary functions contained in these solutions, we obtain broad classes of explicit square integrable solutions. The physical significance and some analytical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9510001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/solv-int/9510001/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZeOim6IdNRddvd5HD6iszMWbENHF11yV5NQYAZPYfMg7Z6890NxKvigLtYBc9haVaMAqNmI6sqyH43gYR81DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:13:39.609885Z"},"content_sha256":"412381384c5cbc601a2c60e7a572a84a3b563f3e15827c0d32fd00214bad47b6","schema_version":"1.0","event_id":"sha256:412381384c5cbc601a2c60e7a572a84a3b563f3e15827c0d32fd00214bad47b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HG4FK2JWEERHFU445NO3MXLN5M/bundle.json","state_url":"https://pith.science/pith/HG4FK2JWEERHFU445NO3MXLN5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HG4FK2JWEERHFU445NO3MXLN5M/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":"2026-07-04T22:13:39Z","links":{"resolver":"https://pith.science/pith/HG4FK2JWEERHFU445NO3MXLN5M","bundle":"https://pith.science/pith/HG4FK2JWEERHFU445NO3MXLN5M/bundle.json","state":"https://pith.science/pith/HG4FK2JWEERHFU445NO3MXLN5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HG4FK2JWEERHFU445NO3MXLN5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:HG4FK2JWEERHFU445NO3MXLN5M","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":"e40f7cb099df7a0e83199625028925f2ab782cbf75d2527bde27b34be118de80","cross_cats_sorted":["hep-th","nlin.SI","quant-ph"],"license":"","primary_cat":"solv-int","submitted_at":"1995-10-10T09:46:27Z","title_canon_sha256":"679683800d6f26cd247836fb5ddc7ffec7144c5b6d9eb0b2d49e30b7b33199cc"},"schema_version":"1.0","source":{"id":"solv-int/9510001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9510001","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9510001v1","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9510001","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"HG4FK2JWEERH","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_16","alias_value":"HG4FK2JWEERHFU44","created_at":"2026-07-04T15:21:41Z"},{"alias_kind":"pith_short_8","alias_value":"HG4FK2JW","created_at":"2026-07-04T15:21:41Z"}],"graph_snapshots":[{"event_id":"sha256:412381384c5cbc601a2c60e7a572a84a3b563f3e15827c0d32fd00214bad47b6","target":"graph","created_at":"2026-07-04T15:21:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/solv-int/9510001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We suggest a method for integrating sub-families of a family of nonlinear {\\sc Schr\\\"odinger} equations proposed by {\\sc H.-D.~Doebner} and {\\sc G.A.~Goldin} in the 1+1 dimensional case which have exceptional {\\sc Lie} symmetries. Since the method of integration involves non-local transformations of dependent and independent variables, general solutions obtained include implicitly determined functions. By properly specifying one of the arbitrary functions contained in these solutions, we obtain broad classes of explicit square integrable solutions. The physical significance and some analytical","authors_text":"P. Nattermann, R. Zhdanov","cross_cats":["hep-th","nlin.SI","quant-ph"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1995-10-10T09:46:27Z","title":"On Integrable Doebner-Goldin Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9510001","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":"sha256:81d1c0e7d5e3802e8ace7c5229891faab2e1b1fb7eb07b3f95c53cc6b83f231c","target":"record","created_at":"2026-07-04T15:21:41Z","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":"e40f7cb099df7a0e83199625028925f2ab782cbf75d2527bde27b34be118de80","cross_cats_sorted":["hep-th","nlin.SI","quant-ph"],"license":"","primary_cat":"solv-int","submitted_at":"1995-10-10T09:46:27Z","title_canon_sha256":"679683800d6f26cd247836fb5ddc7ffec7144c5b6d9eb0b2d49e30b7b33199cc"},"schema_version":"1.0","source":{"id":"solv-int/9510001","kind":"arxiv","version":1}},"canonical_sha256":"39b8556936212272d39ceb5db65d6deb31acd5060e1b555c3b856f51757785d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39b8556936212272d39ceb5db65d6deb31acd5060e1b555c3b856f51757785d2","first_computed_at":"2026-07-04T15:21:41.952159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:21:41.952159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o4aTa0N4BFWH3phfR6Njcats6lUh5DLMNroOTvIuSv3cmd1XkznF2epHYrFC21gNW6AeliF6kMENiJn4htO7Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:21:41.952546Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9510001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81d1c0e7d5e3802e8ace7c5229891faab2e1b1fb7eb07b3f95c53cc6b83f231c","sha256:412381384c5cbc601a2c60e7a572a84a3b563f3e15827c0d32fd00214bad47b6"],"state_sha256":"fb01d839dc0ecc0dcc667257899ec6adb9392025517ede19f59acf6a03d16b1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JHIUx0OXKFT2YPEnDFJ1flalD5YDbDehyuC0rHIdDKbPD3kKaFt/1w+2Ffbb7Up+pOPE34cMnuHZhDBlgLs9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T22:13:39.611864Z","bundle_sha256":"d8246b6617c05ca84dee986aa9fc0454b382f214c793349e380116a7610fad35"}}