{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6SCED6Q3ENPFSBCLZSBKPS4RIN","short_pith_number":"pith:6SCED6Q3","canonical_record":{"source":{"id":"1503.03931","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-13T02:07:00Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"b35e2a106abd2cb6d7f62905deef49f84de97d3aba3bfda4e20396ff5305de88","abstract_canon_sha256":"f347a83681bf891c68008686f867c53fb83676b9498687be399c97554548d589"},"schema_version":"1.0"},"canonical_sha256":"f48441fa1b235e59044bcc82a7cb914372fd102d52da0f31ec3ea83d6cdd784e","source":{"kind":"arxiv","id":"1503.03931","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03931","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03931v2","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03931","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"6SCED6Q3ENPF","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6SCED6Q3ENPFSBCL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6SCED6Q3","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6SCED6Q3ENPFSBCLZSBKPS4RIN","target":"record","payload":{"canonical_record":{"source":{"id":"1503.03931","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-13T02:07:00Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"b35e2a106abd2cb6d7f62905deef49f84de97d3aba3bfda4e20396ff5305de88","abstract_canon_sha256":"f347a83681bf891c68008686f867c53fb83676b9498687be399c97554548d589"},"schema_version":"1.0"},"canonical_sha256":"f48441fa1b235e59044bcc82a7cb914372fd102d52da0f31ec3ea83d6cdd784e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:33.741857Z","signature_b64":"kUr6nnIVKpwi9z40x/3e/TJA4DYjGDQovM45oA1+ASalr9hOGHCMrEJvLk9mUD4uZ2iD7mT8qumhakvf+JNsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f48441fa1b235e59044bcc82a7cb914372fd102d52da0f31ec3ea83d6cdd784e","last_reissued_at":"2026-05-18T01:36:33.741280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:33.741280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.03931","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":"2026-05-18T01:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1vA11COVAJGTXuR9/dM4HspNl45T59X7OW+ixyAAemcSdJgxPuUJqcFVLkBwPhapOW5RqnCaFSQG6WKZ0S7iAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:59:13.729647Z"},"content_sha256":"79c3422724f59d3aea3745fc092fe7cb95273d6150f5de90560a84a7a10fdf87","schema_version":"1.0","event_id":"sha256:79c3422724f59d3aea3745fc092fe7cb95273d6150f5de90560a84a7a10fdf87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6SCED6Q3ENPFSBCLZSBKPS4RIN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Introduction to Hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Sangyong Jeon, Ulrich Heinz","submitted_at":"2015-03-13T02:07:00Z","abstract_excerpt":"We give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic theory derivation of 2nd order viscous hydrodynamics, anisotropic hydrodynamics and a brief review of numerical algorithms. Emphasis is given to the theory of hydrodynamics rather than phenomenology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03931","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":"2026-05-18T01:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VlY5OEh2TWJIt2NJkYDPUA/r+bD1KxzjJ1hd84uvE1kjP3XhPrn5cuubqqNYyyydNst2q5eO5C+ajPJ8zAL+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:59:13.730300Z"},"content_sha256":"39a3c7b4622cc459111c14fead7fc19673dcdb9bfe11553e5204e5d8ad54e747","schema_version":"1.0","event_id":"sha256:39a3c7b4622cc459111c14fead7fc19673dcdb9bfe11553e5204e5d8ad54e747"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/bundle.json","state_url":"https://pith.science/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/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":"2026-06-10T04:59:13Z","links":{"resolver":"https://pith.science/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN","bundle":"https://pith.science/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/bundle.json","state":"https://pith.science/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6SCED6Q3ENPFSBCLZSBKPS4RIN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6SCED6Q3ENPFSBCLZSBKPS4RIN","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":"f347a83681bf891c68008686f867c53fb83676b9498687be399c97554548d589","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-13T02:07:00Z","title_canon_sha256":"b35e2a106abd2cb6d7f62905deef49f84de97d3aba3bfda4e20396ff5305de88"},"schema_version":"1.0","source":{"id":"1503.03931","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03931","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03931v2","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03931","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"6SCED6Q3ENPF","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6SCED6Q3ENPFSBCL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6SCED6Q3","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:39a3c7b4622cc459111c14fead7fc19673dcdb9bfe11553e5204e5d8ad54e747","target":"graph","created_at":"2026-05-18T01:36:33Z","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 give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic theory derivation of 2nd order viscous hydrodynamics, anisotropic hydrodynamics and a brief review of numerical algorithms. Emphasis is given to the theory of hydrodynamics rather than phenomenology.","authors_text":"Sangyong Jeon, Ulrich Heinz","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-13T02:07:00Z","title":"Introduction to Hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03931","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":"sha256:79c3422724f59d3aea3745fc092fe7cb95273d6150f5de90560a84a7a10fdf87","target":"record","created_at":"2026-05-18T01:36:33Z","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":"f347a83681bf891c68008686f867c53fb83676b9498687be399c97554548d589","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-13T02:07:00Z","title_canon_sha256":"b35e2a106abd2cb6d7f62905deef49f84de97d3aba3bfda4e20396ff5305de88"},"schema_version":"1.0","source":{"id":"1503.03931","kind":"arxiv","version":2}},"canonical_sha256":"f48441fa1b235e59044bcc82a7cb914372fd102d52da0f31ec3ea83d6cdd784e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f48441fa1b235e59044bcc82a7cb914372fd102d52da0f31ec3ea83d6cdd784e","first_computed_at":"2026-05-18T01:36:33.741280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:33.741280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kUr6nnIVKpwi9z40x/3e/TJA4DYjGDQovM45oA1+ASalr9hOGHCMrEJvLk9mUD4uZ2iD7mT8qumhakvf+JNsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:33.741857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03931","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79c3422724f59d3aea3745fc092fe7cb95273d6150f5de90560a84a7a10fdf87","sha256:39a3c7b4622cc459111c14fead7fc19673dcdb9bfe11553e5204e5d8ad54e747"],"state_sha256":"b5d23a470807cad8d758106a2b7511df8e98d730e4bf56b7c99d93517606f75f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9sG4ApnaMLArr5u8w1WdmFql+NK5jo9ItR+OOzNmR7x9w1RR2c/36V/zu8463BtIeSkiFHZ7GPiqfF4Tb50fBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:59:13.734895Z","bundle_sha256":"28cec0c1716f60c2c484f5f7c79993743e44c9870a4c29bac5a97b01fb3afece"}}