{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:ESKOS64C2VXFAWZTW5XHHH35Z6","short_pith_number":"pith:ESKOS64C","canonical_record":{"source":{"id":"hep-ph/0508220","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-22T11:55:47Z","cross_cats_sorted":[],"title_canon_sha256":"8c1969a5bd8276d51b7c8b10421989199172e1d4e31588587275da27893acce2","abstract_canon_sha256":"ea15eae961ad8401d46fa52fe6684e549abaa29cfaf4df496e26b39e1921ac45"},"schema_version":"1.0"},"canonical_sha256":"2494e97b82d56e505b33b76e739f7dcfa3c9307af96ac063e9244dc457919289","source":{"kind":"arxiv","id":"hep-ph/0508220","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0508220","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0508220v1","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0508220","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"ESKOS64C2VXF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ESKOS64C2VXFAWZT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ESKOS64C","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:ESKOS64C2VXFAWZTW5XHHH35Z6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0508220","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-22T11:55:47Z","cross_cats_sorted":[],"title_canon_sha256":"8c1969a5bd8276d51b7c8b10421989199172e1d4e31588587275da27893acce2","abstract_canon_sha256":"ea15eae961ad8401d46fa52fe6684e549abaa29cfaf4df496e26b39e1921ac45"},"schema_version":"1.0"},"canonical_sha256":"2494e97b82d56e505b33b76e739f7dcfa3c9307af96ac063e9244dc457919289","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:10.582171Z","signature_b64":"RugszmKpIlIjjSW5n4wswbmM2KGXBck05V1jzkScauDF0tFU6/hoJnbk30mip7TNyzN+R74zbybBETfXxvsZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2494e97b82d56e505b33b76e739f7dcfa3c9307af96ac063e9244dc457919289","last_reissued_at":"2026-05-18T01:06:10.581616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:10.581616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0508220","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":"2026-05-18T01:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPpdfznCgB+OPHx/6xehU8mSRcFPNoD3U1FHvnbG3jfRjCITpBqDlcsvEL1TMjAPddZTjKxrXnJvM26rJ0nRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:42:56.172729Z"},"content_sha256":"481234382f615e6dde7e7a9db0935b058d485f0b4d31d4166e568445dc5f7856","schema_version":"1.0","event_id":"sha256:481234382f615e6dde7e7a9db0935b058d485f0b4d31d4166e568445dc5f7856"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:ESKOS64C2VXFAWZTW5XHHH35Z6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultra-Relativistic Expansion of Ideal Fluid with Linear Equation of State","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.S.Borshch, V.I.Zhdanov","submitted_at":"2005-08-22T11:55:47Z","abstract_excerpt":"We study solutions of the relativistic hydrodynamical equations, which describe spherical or cylindrical expansion of ideal fluid. We derived approximate solutions involving two arbitrary functions, which describe asymptotic behavior of expanding fireballs in ultra-relativistic limit. In case of a sufficiently stiff linear equation of state the solution may be represented in form of an asymptotic series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508220","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":"2026-05-18T01:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aXBsC0qMAlWxi1RIRHjzLsKcH8FDfdRvZdBciAApq4iOa/gTL+EfrpT2hvYz7+hGTRaCWpaptwKlnli8+d0KDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:42:56.173067Z"},"content_sha256":"d007bf2d1b4a497650daea071635ee50669090fec8f8f687eaacfda6665e2891","schema_version":"1.0","event_id":"sha256:d007bf2d1b4a497650daea071635ee50669090fec8f8f687eaacfda6665e2891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/bundle.json","state_url":"https://pith.science/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/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":"2026-07-02T20:42:56Z","links":{"resolver":"https://pith.science/pith/ESKOS64C2VXFAWZTW5XHHH35Z6","bundle":"https://pith.science/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/bundle.json","state":"https://pith.science/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESKOS64C2VXFAWZTW5XHHH35Z6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:ESKOS64C2VXFAWZTW5XHHH35Z6","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":"ea15eae961ad8401d46fa52fe6684e549abaa29cfaf4df496e26b39e1921ac45","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-22T11:55:47Z","title_canon_sha256":"8c1969a5bd8276d51b7c8b10421989199172e1d4e31588587275da27893acce2"},"schema_version":"1.0","source":{"id":"hep-ph/0508220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0508220","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0508220v1","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0508220","created_at":"2026-05-18T01:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"ESKOS64C2VXF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ESKOS64C2VXFAWZT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ESKOS64C","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d007bf2d1b4a497650daea071635ee50669090fec8f8f687eaacfda6665e2891","target":"graph","created_at":"2026-05-18T01:06:10Z","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 study solutions of the relativistic hydrodynamical equations, which describe spherical or cylindrical expansion of ideal fluid. We derived approximate solutions involving two arbitrary functions, which describe asymptotic behavior of expanding fireballs in ultra-relativistic limit. In case of a sufficiently stiff linear equation of state the solution may be represented in form of an asymptotic series.","authors_text":"M.S.Borshch, V.I.Zhdanov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-08-22T11:55:47Z","title":"Ultra-Relativistic Expansion of Ideal Fluid with Linear Equation of State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508220","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":"sha256:481234382f615e6dde7e7a9db0935b058d485f0b4d31d4166e568445dc5f7856","target":"record","created_at":"2026-05-18T01:06:10Z","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":"ea15eae961ad8401d46fa52fe6684e549abaa29cfaf4df496e26b39e1921ac45","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-22T11:55:47Z","title_canon_sha256":"8c1969a5bd8276d51b7c8b10421989199172e1d4e31588587275da27893acce2"},"schema_version":"1.0","source":{"id":"hep-ph/0508220","kind":"arxiv","version":1}},"canonical_sha256":"2494e97b82d56e505b33b76e739f7dcfa3c9307af96ac063e9244dc457919289","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2494e97b82d56e505b33b76e739f7dcfa3c9307af96ac063e9244dc457919289","first_computed_at":"2026-05-18T01:06:10.581616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:10.581616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RugszmKpIlIjjSW5n4wswbmM2KGXBck05V1jzkScauDF0tFU6/hoJnbk30mip7TNyzN+R74zbybBETfXxvsZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:10.582171Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0508220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:481234382f615e6dde7e7a9db0935b058d485f0b4d31d4166e568445dc5f7856","sha256:d007bf2d1b4a497650daea071635ee50669090fec8f8f687eaacfda6665e2891"],"state_sha256":"b4f0ce66ebf41aa1ab88065dd9efb83db495d9d78e3114faba1dbcc071b2da26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gp0hwZONy2RzUusdBRfuKDLs0qR9dbD0+akI5n4etkestaKeer32ldIIj4je609pAfbrVZu7OWEAI1JhUsVNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:42:56.175128Z","bundle_sha256":"ff3d3413bdc8a7e53039e4f001ab35f717a9d2555529d925ef950740af72176d"}}