{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:NQBAAHY6YSOPDPHXEIODQE63UQ","short_pith_number":"pith:NQBAAHY6","canonical_record":{"source":{"id":"hep-ph/0503272","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2005-03-29T06:20:03Z","cross_cats_sorted":["hep-lat","nucl-th"],"title_canon_sha256":"a833508965f23f436cd25fa037c9dcd6a1f371d4eee352cb37e2de4805677061","abstract_canon_sha256":"76bcfd6b4d78e3d9858ea1de2620e71b251b7211e5045327dc58f3109a1e523e"},"schema_version":"1.0"},"canonical_sha256":"6c02001f1ec49cf1bcf7221c3813dba42dc735f36c056de13c2ef91c7c8cf386","source":{"kind":"arxiv","id":"hep-ph/0503272","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503272","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503272v4","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503272","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"NQBAAHY6YSOP","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_16","alias_value":"NQBAAHY6YSOPDPHX","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_8","alias_value":"NQBAAHY6","created_at":"2026-07-04T16:55:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:NQBAAHY6YSOPDPHXEIODQE63UQ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0503272","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2005-03-29T06:20:03Z","cross_cats_sorted":["hep-lat","nucl-th"],"title_canon_sha256":"a833508965f23f436cd25fa037c9dcd6a1f371d4eee352cb37e2de4805677061","abstract_canon_sha256":"76bcfd6b4d78e3d9858ea1de2620e71b251b7211e5045327dc58f3109a1e523e"},"schema_version":"1.0"},"canonical_sha256":"6c02001f1ec49cf1bcf7221c3813dba42dc735f36c056de13c2ef91c7c8cf386","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:38.554342Z","signature_b64":"MZJ4Eykws9z8rlKrz8r/btqRTu+f/SOLd5ju7dbjtTInZZWYjRocpGWAw7ALdS1L04davT4orlcqFsbOTrgvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c02001f1ec49cf1bcf7221c3813dba42dc735f36c056de13c2ef91c7c8cf386","last_reissued_at":"2026-07-04T16:55:38.553903Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:38.553903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0503272","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIUUiRL9iM4vcTl5cVy+oDdOP49twCX9j0LomlhfNFBMu7KVfG9v9qs9JuVoZHZ3LyLDERLHDRkc7crh4pgOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T00:12:42.824910Z"},"content_sha256":"9ddcd7474c25bfeae4da89b904f5480672c9835cabebb5e93dae97264fb04bef","schema_version":"1.0","event_id":"sha256:9ddcd7474c25bfeae4da89b904f5480672c9835cabebb5e93dae97264fb04bef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:NQBAAHY6YSOPDPHXEIODQE63UQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pion Superfluidity and Meson Properties at Finite Isospin Density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","nucl-th"],"primary_cat":"hep-ph","authors_text":"Lianyi He, Meng Jin, Pengfei Zhuang","submitted_at":"2005-03-29T06:20:03Z","abstract_excerpt":"We investigate pion superfluidity and its effect on meson properties and equation of state at finite temperature and isospin and baryon densities in the frame of standard flavor SU(2) NJL model. In mean field approximation to quarks and random phase approximation to mesons, the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum, and corresponding to the isospin symmetry spontaneous breaking, there is in the pion superfluidity phase a Goldstone mode which is the linear combination of the normal sigma and charged pion modes. We calculate numerically"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503272","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0503272/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7K/t1tqcu/+s8LqkrIcb1vEH65tqapLQqtNTNngoyxWXnjREBwy5oz4EyH0u6k5qOHr1EkTNMO8v86cC8YRJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T00:12:42.825247Z"},"content_sha256":"0840e1a2a7289278e08c702825060e991f7aef83573922abe1ec3b539e7a6332","schema_version":"1.0","event_id":"sha256:0840e1a2a7289278e08c702825060e991f7aef83573922abe1ec3b539e7a6332"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/bundle.json","state_url":"https://pith.science/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/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":"2026-08-21T00:12:42Z","links":{"resolver":"https://pith.science/pith/NQBAAHY6YSOPDPHXEIODQE63UQ","bundle":"https://pith.science/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/bundle.json","state":"https://pith.science/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQBAAHY6YSOPDPHXEIODQE63UQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:NQBAAHY6YSOPDPHXEIODQE63UQ","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":"76bcfd6b4d78e3d9858ea1de2620e71b251b7211e5045327dc58f3109a1e523e","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2005-03-29T06:20:03Z","title_canon_sha256":"a833508965f23f436cd25fa037c9dcd6a1f371d4eee352cb37e2de4805677061"},"schema_version":"1.0","source":{"id":"hep-ph/0503272","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503272","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503272v4","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503272","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"NQBAAHY6YSOP","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_16","alias_value":"NQBAAHY6YSOPDPHX","created_at":"2026-07-04T16:55:38Z"},{"alias_kind":"pith_short_8","alias_value":"NQBAAHY6","created_at":"2026-07-04T16:55:38Z"}],"graph_snapshots":[{"event_id":"sha256:0840e1a2a7289278e08c702825060e991f7aef83573922abe1ec3b539e7a6332","target":"graph","created_at":"2026-07-04T16:55:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/0503272/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate pion superfluidity and its effect on meson properties and equation of state at finite temperature and isospin and baryon densities in the frame of standard flavor SU(2) NJL model. In mean field approximation to quarks and random phase approximation to mesons, the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum, and corresponding to the isospin symmetry spontaneous breaking, there is in the pion superfluidity phase a Goldstone mode which is the linear combination of the normal sigma and charged pion modes. We calculate numerically","authors_text":"Lianyi He, Meng Jin, Pengfei Zhuang","cross_cats":["hep-lat","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2005-03-29T06:20:03Z","title":"Pion Superfluidity and Meson Properties at Finite Isospin Density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503272","kind":"arxiv","version":4},"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":"sha256:9ddcd7474c25bfeae4da89b904f5480672c9835cabebb5e93dae97264fb04bef","target":"record","created_at":"2026-07-04T16:55:38Z","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":"76bcfd6b4d78e3d9858ea1de2620e71b251b7211e5045327dc58f3109a1e523e","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2005-03-29T06:20:03Z","title_canon_sha256":"a833508965f23f436cd25fa037c9dcd6a1f371d4eee352cb37e2de4805677061"},"schema_version":"1.0","source":{"id":"hep-ph/0503272","kind":"arxiv","version":4}},"canonical_sha256":"6c02001f1ec49cf1bcf7221c3813dba42dc735f36c056de13c2ef91c7c8cf386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c02001f1ec49cf1bcf7221c3813dba42dc735f36c056de13c2ef91c7c8cf386","first_computed_at":"2026-07-04T16:55:38.553903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:55:38.553903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MZJ4Eykws9z8rlKrz8r/btqRTu+f/SOLd5ju7dbjtTInZZWYjRocpGWAw7ALdS1L04davT4orlcqFsbOTrgvAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:55:38.554342Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0503272","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ddcd7474c25bfeae4da89b904f5480672c9835cabebb5e93dae97264fb04bef","sha256:0840e1a2a7289278e08c702825060e991f7aef83573922abe1ec3b539e7a6332"],"state_sha256":"47c32ec01324a577622ca6ba39aab78fbcfc90d6e7d6fcd5f1fc8c0c1372379d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFkMV3EGRPeVWFCOMZYo2URAyCwrzRFwBBg6FQJZMDy62skBDLdCU6w7xeO/L3Rgw6J/GGfMfI1DFQuM+DTaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T00:12:42.828395Z","bundle_sha256":"a9d829651f89a781f86f069b8909a77035ea305c1b2a20bf049b725f528e46ef"}}