{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KB4TM53BKYZKID6DGZ26JMPD74","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":"c24f65555bf98d305c0734f1eb40018cdc419dc58b00c46f6d08d32ad505ee76","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T15:21:08Z","title_canon_sha256":"0bf4e00c72d589ded02c90b65b53f930a10773bc34e7e2fc93a9f4a5ffdc7f64"},"schema_version":"1.0","source":{"id":"2010.13655","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13655","created_at":"2026-07-05T02:18:18Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13655v2","created_at":"2026-07-05T02:18:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13655","created_at":"2026-07-05T02:18:18Z"},{"alias_kind":"pith_short_12","alias_value":"KB4TM53BKYZK","created_at":"2026-07-05T02:18:18Z"},{"alias_kind":"pith_short_16","alias_value":"KB4TM53BKYZKID6D","created_at":"2026-07-05T02:18:18Z"},{"alias_kind":"pith_short_8","alias_value":"KB4TM53B","created_at":"2026-07-05T02:18:18Z"}],"graph_snapshots":[{"event_id":"sha256:5af46d5662aabda83972321034ed274c49679bea215d0cc35a5f947a41e6b0ff","target":"graph","created_at":"2026-07-05T02:18:18Z","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/2010.13655/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider two-flavor chiral perturbation theory ($\\chi$PT) at finite isospin chemical potential $\\mu_I$ and finite temperature $T$. We calculate the effective potential and the quark and pion condensates as functions of $T$ and $\\mu_I$ to next-to-leading order in the low-energy expansion in the presence of a pionic source. We map out the phase diagram in the $\\mu_I$--$T$ plane. Numerically, we find that the transition to the pion-condensed phase is second order in the region of validity of $\\chi$PT, which is in agreement with model calculations and lattice simulations. Finally, we calculate ","authors_text":"Jens O. Andersen, Martin A. Mojahed, Prabal Adhikari","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T15:21:08Z","title":"Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13655","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":"sha256:1d4bbf30289576c99ca1154267061917d478e6b76344cd4afaf5b6ea1238593b","target":"record","created_at":"2026-07-05T02:18:18Z","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":"c24f65555bf98d305c0734f1eb40018cdc419dc58b00c46f6d08d32ad505ee76","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T15:21:08Z","title_canon_sha256":"0bf4e00c72d589ded02c90b65b53f930a10773bc34e7e2fc93a9f4a5ffdc7f64"},"schema_version":"1.0","source":{"id":"2010.13655","kind":"arxiv","version":2}},"canonical_sha256":"50793677615632a40fc33675e4b1e3ff2e30c1b73be1bc123c689e2cbfb968bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50793677615632a40fc33675e4b1e3ff2e30c1b73be1bc123c689e2cbfb968bd","first_computed_at":"2026-07-05T02:18:18.572862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:18:18.572862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2dwBW2f3qLKJMXnUiHp+8NoSWL3f600F0oP1x2wV9gRg8lpETbFR9zxHuJ6L4bc6UtXETg50ppYH0Vl/4KYVBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:18:18.573286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.13655","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d4bbf30289576c99ca1154267061917d478e6b76344cd4afaf5b6ea1238593b","sha256:5af46d5662aabda83972321034ed274c49679bea215d0cc35a5f947a41e6b0ff"],"state_sha256":"bd7c44059f996ecea09624513429526f16e0fa016d3a2830a1a992ced2e8b896"}