{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:VUTMGWDU5JWQ4VDE6VXVSXZMK6","short_pith_number":"pith:VUTMGWDU","canonical_record":{"source":{"id":"0708.3946","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-29T12:27:22Z","cross_cats_sorted":["hep-th","nlin.PS","quant-ph"],"title_canon_sha256":"11a88d63d365b4a083291fe0e7a3352fc83f92a85711e2e309e71b5ee4cb4fc4","abstract_canon_sha256":"4a8446c558e9def0cce61c6ac9848339e2d9b867f1f6308765f8897e5fc9e4f9"},"schema_version":"1.0"},"canonical_sha256":"ad26c35874ea6d0e5464f56f595f2c57b2b24303461b539891283b36673c6990","source":{"kind":"arxiv","id":"0708.3946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.3946","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"arxiv_version","alias_value":"0708.3946v1","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3946","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"pith_short_12","alias_value":"VUTMGWDU5JWQ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"VUTMGWDU5JWQ4VDE","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"VUTMGWDU","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:VUTMGWDU5JWQ4VDE6VXVSXZMK6","target":"record","payload":{"canonical_record":{"source":{"id":"0708.3946","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-29T12:27:22Z","cross_cats_sorted":["hep-th","nlin.PS","quant-ph"],"title_canon_sha256":"11a88d63d365b4a083291fe0e7a3352fc83f92a85711e2e309e71b5ee4cb4fc4","abstract_canon_sha256":"4a8446c558e9def0cce61c6ac9848339e2d9b867f1f6308765f8897e5fc9e4f9"},"schema_version":"1.0"},"canonical_sha256":"ad26c35874ea6d0e5464f56f595f2c57b2b24303461b539891283b36673c6990","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:14.761070Z","signature_b64":"9lC39Awh+2mu6lQN+EmFcgSDh/R22zEc/vcCeLH2c44MSePBcLlt1X2VEW0TBAJO346HunH+jtIa7lfMJXFSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad26c35874ea6d0e5464f56f595f2c57b2b24303461b539891283b36673c6990","last_reissued_at":"2026-05-18T04:09:14.760585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:14.760585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0708.3946","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":"2026-05-18T04:09:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/GI2fq+EqA1Ez/x6f335PTmRvLLHdPRZ7uxUwDigJ3q5iYHyIBLw3Ur8GJNQpi24bnQmAS/eGlqRVOGlJE+GBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:28:40.588525Z"},"content_sha256":"ee1c63124af1e85b83764d880cc3f3f8734635af77da1807b08c48a7b857819d","schema_version":"1.0","event_id":"sha256:ee1c63124af1e85b83764d880cc3f3f8734635af77da1807b08c48a7b857819d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:VUTMGWDU5JWQ4VDE6VXVSXZMK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable Hierarchies and Information Measures","license":"","headline":"","cross_cats":["hep-th","nlin.PS","quant-ph"],"primary_cat":"nlin.SI","authors_text":"Oktay K. Pashaev, Rajesh R. Parwani","submitted_at":"2007-08-29T12:27:22Z","abstract_excerpt":"In this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimesional isentropic fluid, with an appropriately motivated information theoretic extension, is described by a general nonlinear Schrodinger (NLS) equation. Depending on the choice of the enthalpy function, one obtains the cubic NLS or other modified NLS equations that have applications in various fields. Next, by considering the integrable hierarchy associated with the NLS model, we propose higher order inform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3946","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":"2026-05-18T04:09:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eXSDW1q06cyAdEeQIeKUFyFT/xV7ENJpWGtKjmPfeVgy/mDjAUIoM8bieK1PEl/9VRGs/cyS/k1eWWys0q73Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:28:40.589137Z"},"content_sha256":"06ade7e1f95f78f062f50b4b42717670484012c12e4192bbc3166d443e7e63f7","schema_version":"1.0","event_id":"sha256:06ade7e1f95f78f062f50b4b42717670484012c12e4192bbc3166d443e7e63f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/bundle.json","state_url":"https://pith.science/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/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":"2026-06-08T17:28:40Z","links":{"resolver":"https://pith.science/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6","bundle":"https://pith.science/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/bundle.json","state":"https://pith.science/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUTMGWDU5JWQ4VDE6VXVSXZMK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VUTMGWDU5JWQ4VDE6VXVSXZMK6","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":"4a8446c558e9def0cce61c6ac9848339e2d9b867f1f6308765f8897e5fc9e4f9","cross_cats_sorted":["hep-th","nlin.PS","quant-ph"],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-29T12:27:22Z","title_canon_sha256":"11a88d63d365b4a083291fe0e7a3352fc83f92a85711e2e309e71b5ee4cb4fc4"},"schema_version":"1.0","source":{"id":"0708.3946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.3946","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"arxiv_version","alias_value":"0708.3946v1","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3946","created_at":"2026-05-18T04:09:14Z"},{"alias_kind":"pith_short_12","alias_value":"VUTMGWDU5JWQ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"VUTMGWDU5JWQ4VDE","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"VUTMGWDU","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:06ade7e1f95f78f062f50b4b42717670484012c12e4192bbc3166d443e7e63f7","target":"graph","created_at":"2026-05-18T04:09:14Z","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":"In this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimesional isentropic fluid, with an appropriately motivated information theoretic extension, is described by a general nonlinear Schrodinger (NLS) equation. Depending on the choice of the enthalpy function, one obtains the cubic NLS or other modified NLS equations that have applications in various fields. Next, by considering the integrable hierarchy associated with the NLS model, we propose higher order inform","authors_text":"Oktay K. Pashaev, Rajesh R. Parwani","cross_cats":["hep-th","nlin.PS","quant-ph"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-29T12:27:22Z","title":"Integrable Hierarchies and Information Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3946","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:ee1c63124af1e85b83764d880cc3f3f8734635af77da1807b08c48a7b857819d","target":"record","created_at":"2026-05-18T04:09:14Z","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":"4a8446c558e9def0cce61c6ac9848339e2d9b867f1f6308765f8897e5fc9e4f9","cross_cats_sorted":["hep-th","nlin.PS","quant-ph"],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-29T12:27:22Z","title_canon_sha256":"11a88d63d365b4a083291fe0e7a3352fc83f92a85711e2e309e71b5ee4cb4fc4"},"schema_version":"1.0","source":{"id":"0708.3946","kind":"arxiv","version":1}},"canonical_sha256":"ad26c35874ea6d0e5464f56f595f2c57b2b24303461b539891283b36673c6990","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad26c35874ea6d0e5464f56f595f2c57b2b24303461b539891283b36673c6990","first_computed_at":"2026-05-18T04:09:14.760585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:14.760585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9lC39Awh+2mu6lQN+EmFcgSDh/R22zEc/vcCeLH2c44MSePBcLlt1X2VEW0TBAJO346HunH+jtIa7lfMJXFSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:14.761070Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.3946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee1c63124af1e85b83764d880cc3f3f8734635af77da1807b08c48a7b857819d","sha256:06ade7e1f95f78f062f50b4b42717670484012c12e4192bbc3166d443e7e63f7"],"state_sha256":"94dd782b4c240b283b4fee585c3d9270456976308f58bad8a5843b8e94f047f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0TcWyZ9p80TRLk1eBhR+azJgU4JCeBJHB/fdbyBL7JC6ElUR1DXHjg6ZQ7eNmV43qgJm4jZHLv3ObLYpmHxACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:28:40.593303Z","bundle_sha256":"6c98241a3e73ed04c0abc8d5c2c49feecc4ab21b4c4ca90c595111049c71faa9"}}