{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:3YMLINFJRJE25WR4T2TFPG2R5K","short_pith_number":"pith:3YMLINFJ","canonical_record":{"source":{"id":"hep-ph/9910208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-01T23:14:09Z","cross_cats_sorted":["astro-ph","gr-qc","physics.flu-dyn"],"title_canon_sha256":"8f6becdaa64e5f83086a9bbeed7238f164f9ea9399b3ed52e5e6c9bcba9f9275","abstract_canon_sha256":"acf35cb0dcd46e530a2b7b26e5185ea6aa8e328bff04fc05325916f830b58eb8"},"schema_version":"1.0"},"canonical_sha256":"de18b434a98a49aeda3c9ea6579b51ea85ea68954687b9bf6aaed919005f1de8","source":{"kind":"arxiv","id":"hep-ph/9910208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910208","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910208v1","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910208","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"3YMLINFJRJE2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"3YMLINFJRJE25WR4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"3YMLINFJ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:3YMLINFJRJE25WR4T2TFPG2R5K","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9910208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-01T23:14:09Z","cross_cats_sorted":["astro-ph","gr-qc","physics.flu-dyn"],"title_canon_sha256":"8f6becdaa64e5f83086a9bbeed7238f164f9ea9399b3ed52e5e6c9bcba9f9275","abstract_canon_sha256":"acf35cb0dcd46e530a2b7b26e5185ea6aa8e328bff04fc05325916f830b58eb8"},"schema_version":"1.0"},"canonical_sha256":"de18b434a98a49aeda3c9ea6579b51ea85ea68954687b9bf6aaed919005f1de8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:16.501844Z","signature_b64":"8pzy0/s0EZpXBXqWuveSjOPr2mWq+CFlvD9I7s094Y2+zRlFyiFsxf7pE+o3UG5Bqe6mCtHdMEvXW2xNtEW6CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de18b434a98a49aeda3c9ea6579b51ea85ea68954687b9bf6aaed919005f1de8","last_reissued_at":"2026-05-18T01:09:16.501262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:16.501262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9910208","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":"2026-05-18T01:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XkgsVV59LIQU7MhxzBLH7o8tU1VOETdvc0mDoW/NtHwUcy5hwT+Qc6v7IB0jVqYOoB4ksaAQQ6664T6HsJJaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:08:38.191032Z"},"content_sha256":"d6d4c179a10cffdc681ca323f4ccf3ee6f5238049be51ecdd74aba820e724729","schema_version":"1.0","event_id":"sha256:d6d4c179a10cffdc681ca323f4ccf3ee6f5238049be51ecdd74aba820e724729"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:3YMLINFJRJE25WR4T2TFPG2R5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Principle for Relativistic Fluid Dynamics","license":"","headline":"","cross_cats":["astro-ph","gr-qc","physics.flu-dyn"],"primary_cat":"hep-ph","authors_text":"Hans-Thomas Elze, Johann Rafelski, Mart\\'in Makler, Takeshi Kodama, Yogiro Hama","submitted_at":"1999-10-01T23:14:09Z","abstract_excerpt":"The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatz for the dynamical variables such as density profile of the system. As an example, the relativistic version of spherical droplet motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. For the general relativistic case the most general Lagrangian for spherically symmetric systems is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910208","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":"2026-05-18T01:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KxD6iqxop09Vm3zQstRYW1t6tWP5I4pCLIuyMy2matqmLcpLYfdBdKtNSv/tUZpJ+ha9yS6fhyYoYUjoD0v3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:08:38.191750Z"},"content_sha256":"1e21a25a6d617ea15847312839e19e2010cc073854346dd7d5827b50a7fd53d9","schema_version":"1.0","event_id":"sha256:1e21a25a6d617ea15847312839e19e2010cc073854346dd7d5827b50a7fd53d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YMLINFJRJE25WR4T2TFPG2R5K/bundle.json","state_url":"https://pith.science/pith/3YMLINFJRJE25WR4T2TFPG2R5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YMLINFJRJE25WR4T2TFPG2R5K/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":"2026-05-28T19:08:38Z","links":{"resolver":"https://pith.science/pith/3YMLINFJRJE25WR4T2TFPG2R5K","bundle":"https://pith.science/pith/3YMLINFJRJE25WR4T2TFPG2R5K/bundle.json","state":"https://pith.science/pith/3YMLINFJRJE25WR4T2TFPG2R5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YMLINFJRJE25WR4T2TFPG2R5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:3YMLINFJRJE25WR4T2TFPG2R5K","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":"acf35cb0dcd46e530a2b7b26e5185ea6aa8e328bff04fc05325916f830b58eb8","cross_cats_sorted":["astro-ph","gr-qc","physics.flu-dyn"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-01T23:14:09Z","title_canon_sha256":"8f6becdaa64e5f83086a9bbeed7238f164f9ea9399b3ed52e5e6c9bcba9f9275"},"schema_version":"1.0","source":{"id":"hep-ph/9910208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910208","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910208v1","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910208","created_at":"2026-05-18T01:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"3YMLINFJRJE2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"3YMLINFJRJE25WR4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"3YMLINFJ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:1e21a25a6d617ea15847312839e19e2010cc073854346dd7d5827b50a7fd53d9","target":"graph","created_at":"2026-05-18T01:09:16Z","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":"The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatz for the dynamical variables such as density profile of the system. As an example, the relativistic version of spherical droplet motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. For the general relativistic case the most general Lagrangian for spherically symmetric systems is given.","authors_text":"Hans-Thomas Elze, Johann Rafelski, Mart\\'in Makler, Takeshi Kodama, Yogiro Hama","cross_cats":["astro-ph","gr-qc","physics.flu-dyn"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-10-01T23:14:09Z","title":"Variational Principle for Relativistic Fluid Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910208","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:d6d4c179a10cffdc681ca323f4ccf3ee6f5238049be51ecdd74aba820e724729","target":"record","created_at":"2026-05-18T01:09:16Z","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":"acf35cb0dcd46e530a2b7b26e5185ea6aa8e328bff04fc05325916f830b58eb8","cross_cats_sorted":["astro-ph","gr-qc","physics.flu-dyn"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-01T23:14:09Z","title_canon_sha256":"8f6becdaa64e5f83086a9bbeed7238f164f9ea9399b3ed52e5e6c9bcba9f9275"},"schema_version":"1.0","source":{"id":"hep-ph/9910208","kind":"arxiv","version":1}},"canonical_sha256":"de18b434a98a49aeda3c9ea6579b51ea85ea68954687b9bf6aaed919005f1de8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de18b434a98a49aeda3c9ea6579b51ea85ea68954687b9bf6aaed919005f1de8","first_computed_at":"2026-05-18T01:09:16.501262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:16.501262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8pzy0/s0EZpXBXqWuveSjOPr2mWq+CFlvD9I7s094Y2+zRlFyiFsxf7pE+o3UG5Bqe6mCtHdMEvXW2xNtEW6CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:16.501844Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9910208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6d4c179a10cffdc681ca323f4ccf3ee6f5238049be51ecdd74aba820e724729","sha256:1e21a25a6d617ea15847312839e19e2010cc073854346dd7d5827b50a7fd53d9"],"state_sha256":"e11fec1f88b55757f3aa44206309a63825dee0fdb781199262c300f445fa0b4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vDHPabYqLfZcQZSDE3+WVchHcN3ZVvMRUFJLES8gBbwYocutTZkWyTUtHngn/PFgV5mWxMcz30FqgHTubwW5Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:08:38.195384Z","bundle_sha256":"d321c1036d60e41f0298a721c83d43f11f9805930a169212999c985ca667c8d7"}}