{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3YJWDYZNTL2XOHYCBWD74PS2OM","short_pith_number":"pith:3YJWDYZN","canonical_record":{"source":{"id":"1006.1603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T16:32:17Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8532b77e7bdf082e4d8fdba6c638a095badd5aa3dcdd1a7631d7d451d14ddc2b","abstract_canon_sha256":"a28e779e5140ef46ba8d4ae88cad7a16c51cd4ef711971dafe8ead80bde4fd14"},"schema_version":"1.0"},"canonical_sha256":"de1361e32d9af5771f020d87fe3e5a7335f8bc649cf14a78cb13777eeccbf0d3","source":{"kind":"arxiv","id":"1006.1603","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1603","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1603v1","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1603","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"3YJWDYZNTL2X","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3YJWDYZNTL2XOHYC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3YJWDYZN","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3YJWDYZNTL2XOHYCBWD74PS2OM","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T16:32:17Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8532b77e7bdf082e4d8fdba6c638a095badd5aa3dcdd1a7631d7d451d14ddc2b","abstract_canon_sha256":"a28e779e5140ef46ba8d4ae88cad7a16c51cd4ef711971dafe8ead80bde4fd14"},"schema_version":"1.0"},"canonical_sha256":"de1361e32d9af5771f020d87fe3e5a7335f8bc649cf14a78cb13777eeccbf0d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:52.352265Z","signature_b64":"8UBtzd9A3hXoiNIDIYPPhqVyIuHYe6oqrjqb7jJBNuR2uB5ic8I3vx5Ote7bR86mQt2F0za/bV4wpgQONFLWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de1361e32d9af5771f020d87fe3e5a7335f8bc649cf14a78cb13777eeccbf0d3","last_reissued_at":"2026-05-18T04:31:52.351767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:52.351767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1603","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":"2026-05-18T04:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9n0vJ9H5JA3OXLOBJ77bd53y4IrC6mTPKSIPT4DpHO3CjtCgn/HHrZ1VGddBtHZ/gmcLd/0+sCQS9wKi+oy6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:28:14.203927Z"},"content_sha256":"68b8fbf403c816ae86a1487b24092f6641e9bc82e8ae606f2bc992ed4cb817ad","schema_version":"1.0","event_id":"sha256:68b8fbf403c816ae86a1487b24092f6641e9bc82e8ae606f2bc992ed4cb817ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3YJWDYZNTL2XOHYCBWD74PS2OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact (1+1)-dimensional flows of a perfect fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Emmanuel N. Saridakis, Robi Peschanski","submitted_at":"2010-06-08T16:32:17Z","abstract_excerpt":"We present a general solution of relativistic (1+1)-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction as a function of time, uniformly in transverse space. The Khalatnikov potential is expressed as a linear combination of two generating functions with polynomial coefficients of 2 variables. The polynomials, whose algebraic equations are solved, define an infinite-dimensional basis of solutions. The kinematics of the (1+1)-dimensional flow are reconstructed from the potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1603","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":"2026-05-18T04:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vW8y+1CYDnXo9XgQIINneAMuAmMi3UaBNHQI++Oe9wS1SKnvvZ9xB3mn+VS7a96NbbCgAnBTPK4rSzT7z4hlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:28:14.204526Z"},"content_sha256":"4aa133a8c20cd6e4f55f7e293639123c3483e3c18d6f03eab3ae11d33380e855","schema_version":"1.0","event_id":"sha256:4aa133a8c20cd6e4f55f7e293639123c3483e3c18d6f03eab3ae11d33380e855"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/bundle.json","state_url":"https://pith.science/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/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":"2026-05-30T13:28:14Z","links":{"resolver":"https://pith.science/pith/3YJWDYZNTL2XOHYCBWD74PS2OM","bundle":"https://pith.science/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/bundle.json","state":"https://pith.science/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YJWDYZNTL2XOHYCBWD74PS2OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3YJWDYZNTL2XOHYCBWD74PS2OM","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":"a28e779e5140ef46ba8d4ae88cad7a16c51cd4ef711971dafe8ead80bde4fd14","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T16:32:17Z","title_canon_sha256":"8532b77e7bdf082e4d8fdba6c638a095badd5aa3dcdd1a7631d7d451d14ddc2b"},"schema_version":"1.0","source":{"id":"1006.1603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1603","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1603v1","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1603","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"3YJWDYZNTL2X","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3YJWDYZNTL2XOHYC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3YJWDYZN","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:4aa133a8c20cd6e4f55f7e293639123c3483e3c18d6f03eab3ae11d33380e855","target":"graph","created_at":"2026-05-18T04:31:52Z","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 present a general solution of relativistic (1+1)-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction as a function of time, uniformly in transverse space. The Khalatnikov potential is expressed as a linear combination of two generating functions with polynomial coefficients of 2 variables. The polynomials, whose algebraic equations are solved, define an infinite-dimensional basis of solutions. The kinematics of the (1+1)-dimensional flow are reconstructed from the potential.","authors_text":"Emmanuel N. Saridakis, Robi Peschanski","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T16:32:17Z","title":"Exact (1+1)-dimensional flows of a perfect fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1603","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":"sha256:68b8fbf403c816ae86a1487b24092f6641e9bc82e8ae606f2bc992ed4cb817ad","target":"record","created_at":"2026-05-18T04:31:52Z","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":"a28e779e5140ef46ba8d4ae88cad7a16c51cd4ef711971dafe8ead80bde4fd14","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T16:32:17Z","title_canon_sha256":"8532b77e7bdf082e4d8fdba6c638a095badd5aa3dcdd1a7631d7d451d14ddc2b"},"schema_version":"1.0","source":{"id":"1006.1603","kind":"arxiv","version":1}},"canonical_sha256":"de1361e32d9af5771f020d87fe3e5a7335f8bc649cf14a78cb13777eeccbf0d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de1361e32d9af5771f020d87fe3e5a7335f8bc649cf14a78cb13777eeccbf0d3","first_computed_at":"2026-05-18T04:31:52.351767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:52.351767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8UBtzd9A3hXoiNIDIYPPhqVyIuHYe6oqrjqb7jJBNuR2uB5ic8I3vx5Ote7bR86mQt2F0za/bV4wpgQONFLWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:52.352265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b8fbf403c816ae86a1487b24092f6641e9bc82e8ae606f2bc992ed4cb817ad","sha256:4aa133a8c20cd6e4f55f7e293639123c3483e3c18d6f03eab3ae11d33380e855"],"state_sha256":"c8485f9bad2fedc5a6fe41dc374b54ddb89367940f3df0e4bf944eb88fc58dfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lbvYd6MCyN7CcfC8B5DFydUvO9+WRuBpe7Ken4diqvPXPg/iYI7Vpbv2V/XngnUE0UYT935aZlx92leKkf4rBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:28:14.207210Z","bundle_sha256":"c7ec9afe37cd0606be0902936a87a1f1a8a6b4f9f1861865ed56d44a9802e451"}}