{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:27N25TACVWFTOKBLBRJ6FOYKEA","short_pith_number":"pith:27N25TAC","canonical_record":{"source":{"id":"1311.6720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-11-26T16:04:55Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e35509e996b10477afab1859cdb037406a4ebf74c78ae79762db0ff3bb663e62","abstract_canon_sha256":"43ad1aed8942969a98d26450b3124310116310c6fcabc54f8eb91e8cb373fff3"},"schema_version":"1.0"},"canonical_sha256":"d7dbaecc02ad8b37282b0c53e2bb0a203f485989d23f3f12c5432eeef07342c6","source":{"kind":"arxiv","id":"1311.6720","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6720","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6720v2","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6720","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"27N25TACVWFT","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"27N25TACVWFTOKBL","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"27N25TAC","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:27N25TACVWFTOKBLBRJ6FOYKEA","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-11-26T16:04:55Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e35509e996b10477afab1859cdb037406a4ebf74c78ae79762db0ff3bb663e62","abstract_canon_sha256":"43ad1aed8942969a98d26450b3124310116310c6fcabc54f8eb91e8cb373fff3"},"schema_version":"1.0"},"canonical_sha256":"d7dbaecc02ad8b37282b0c53e2bb0a203f485989d23f3f12c5432eeef07342c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:54.307593Z","signature_b64":"J9Nm8RvmbW2QQVfJVxERUFXVidu6iGRXme8rtjP9Dmvvc14XJAZQtyX35LSxIxZ+TOaLwCyVyDKFQa0jtcb8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7dbaecc02ad8b37282b0c53e2bb0a203f485989d23f3f12c5432eeef07342c6","last_reissued_at":"2026-05-18T02:32:54.307007Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:54.307007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6720","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":"2026-05-18T02:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cqfquPmtRhJBWF4NnDy/+m4YjuCzE8sgzLwn3Sa1viQBaXk7tmTqB71iWzRzr0ejf2HCr9SgfJ1WsHXoOKuODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:17:07.859726Z"},"content_sha256":"d7260878458965fba27d8c783c6b9251388ccb33933f24cadf79c4b63514091c","schema_version":"1.0","event_id":"sha256:d7260878458965fba27d8c783c6b9251388ccb33933f24cadf79c4b63514091c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:27N25TACVWFTOKBLBRJ6FOYKEA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-order (2+1)-dimensional anisotropic hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"Dennis Bazow, Michael Strickland, Ulrich W. Heinz","submitted_at":"2013-11-26T16:04:55Z","abstract_excerpt":"We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function from the spheroidal form assumed at leading order. We derive complete second-order equations of motion for the additional terms in the macroscopic currents generated by these deviations from their kinetic definition using a Grad-Israel-Stewart 14-moment ansatz. The result is a set of coupled partial differential equations for the momentum-space anisotropy pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6720","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":"2026-05-18T02:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P257Edhif/tR+/JhnF5bt+UyPvyMrre4E9LZS3BS5x58cBInjZASLr4RRrin9VnSSsBPmqnIf2TGR+50G5xaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:17:07.860424Z"},"content_sha256":"7f794a5c1babb6ecc9727559dd42007ec3e253c13963196b3b714b7585a86adc","schema_version":"1.0","event_id":"sha256:7f794a5c1babb6ecc9727559dd42007ec3e253c13963196b3b714b7585a86adc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27N25TACVWFTOKBLBRJ6FOYKEA/bundle.json","state_url":"https://pith.science/pith/27N25TACVWFTOKBLBRJ6FOYKEA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27N25TACVWFTOKBLBRJ6FOYKEA/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":"2026-06-07T07:17:07Z","links":{"resolver":"https://pith.science/pith/27N25TACVWFTOKBLBRJ6FOYKEA","bundle":"https://pith.science/pith/27N25TACVWFTOKBLBRJ6FOYKEA/bundle.json","state":"https://pith.science/pith/27N25TACVWFTOKBLBRJ6FOYKEA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27N25TACVWFTOKBLBRJ6FOYKEA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:27N25TACVWFTOKBLBRJ6FOYKEA","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":"43ad1aed8942969a98d26450b3124310116310c6fcabc54f8eb91e8cb373fff3","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-11-26T16:04:55Z","title_canon_sha256":"e35509e996b10477afab1859cdb037406a4ebf74c78ae79762db0ff3bb663e62"},"schema_version":"1.0","source":{"id":"1311.6720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6720","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6720v2","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6720","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"27N25TACVWFT","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"27N25TACVWFTOKBL","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"27N25TAC","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:7f794a5c1babb6ecc9727559dd42007ec3e253c13963196b3b714b7585a86adc","target":"graph","created_at":"2026-05-18T02:32:54Z","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 complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function from the spheroidal form assumed at leading order. We derive complete second-order equations of motion for the additional terms in the macroscopic currents generated by these deviations from their kinetic definition using a Grad-Israel-Stewart 14-moment ansatz. The result is a set of coupled partial differential equations for the momentum-space anisotropy pa","authors_text":"Dennis Bazow, Michael Strickland, Ulrich W. Heinz","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-11-26T16:04:55Z","title":"Second-order (2+1)-dimensional anisotropic hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6720","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:d7260878458965fba27d8c783c6b9251388ccb33933f24cadf79c4b63514091c","target":"record","created_at":"2026-05-18T02:32:54Z","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":"43ad1aed8942969a98d26450b3124310116310c6fcabc54f8eb91e8cb373fff3","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-11-26T16:04:55Z","title_canon_sha256":"e35509e996b10477afab1859cdb037406a4ebf74c78ae79762db0ff3bb663e62"},"schema_version":"1.0","source":{"id":"1311.6720","kind":"arxiv","version":2}},"canonical_sha256":"d7dbaecc02ad8b37282b0c53e2bb0a203f485989d23f3f12c5432eeef07342c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7dbaecc02ad8b37282b0c53e2bb0a203f485989d23f3f12c5432eeef07342c6","first_computed_at":"2026-05-18T02:32:54.307007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:54.307007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J9Nm8RvmbW2QQVfJVxERUFXVidu6iGRXme8rtjP9Dmvvc14XJAZQtyX35LSxIxZ+TOaLwCyVyDKFQa0jtcb8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:54.307593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7260878458965fba27d8c783c6b9251388ccb33933f24cadf79c4b63514091c","sha256:7f794a5c1babb6ecc9727559dd42007ec3e253c13963196b3b714b7585a86adc"],"state_sha256":"a2e00c9b38e2721a45dbe635d6e1e9842f077cf3d79f51f83dd2eadb378b261f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"opAALU73DVdWgrmZDBm6/lXbW0gJuy+5JAIKTpZSdwcJvleBpLjXpVSWO46ivCo2rpY9YL+GTP6Re3v2nj+DBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:17:07.864205Z","bundle_sha256":"3cd5ba7dcccc5cebd4d26eae4fbdac91a0b0f8cf2a8232aed7c88644b0907d1d"}}