{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:N46C3XYLTES6CTPZK5BNKGXURR","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":"af201eac951a9f5a3d8ee2259c7bbf091bfd8df5af1832d9248c53e3894caa8c","cross_cats_sorted":["cond-mat","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T12:34:45Z","title_canon_sha256":"f4caa4fbe76b9645e17b10226a35f8c98c5f46589b9e0b334f34ca8a698e4bc9"},"schema_version":"1.0","source":{"id":"hep-th/9607154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9607154","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9607154v2","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9607154","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"N46C3XYLTES6","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"N46C3XYLTES6CTPZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"N46C3XYL","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:1827fbcef5e91e866ba29cb99c80ae43155d5881e979f86d24e65401e6dc3e4d","target":"graph","created_at":"2026-05-18T01:06:00Z","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 derive exact analytical expressions for the critical amplitudes $A_\\psi$, $A_{gap}$ in the scaling laws for the fermion condensate $<\\bar \\psi \\psi> = A_\\psi m^{1/3} g^{2/3}$ and for the mass of the lightest state $M_{gap} = A_{gap} m^{2/3} g^{1/3}$ in the Schwinger model with two light flavors, $m \\ll g$. $A_\\psi$ and $A_{gap}$ are expressed via certain universal amplitude ratios being calculated recently in TBA technique and the known coefficient $A_{\\psi\\psi}$ in the scaling law $<\\bar \\psi \\psi (x) \\bar \\psi \\psi (0)> = A_{\\psi\\psi} (g/x)$ at the critical point. Numerically, $A_\\psi = -","authors_text":"A.V. Smilga","cross_cats":["cond-mat","hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T12:34:45Z","title":"Critical amplitudes in two-dimensional theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9607154","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":"sha256:73f17f3fb6844eeab80c8af38a46233242a60c0be08368f7beba5a7d7fd9fcb6","target":"record","created_at":"2026-05-18T01:06:00Z","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":"af201eac951a9f5a3d8ee2259c7bbf091bfd8df5af1832d9248c53e3894caa8c","cross_cats_sorted":["cond-mat","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T12:34:45Z","title_canon_sha256":"f4caa4fbe76b9645e17b10226a35f8c98c5f46589b9e0b334f34ca8a698e4bc9"},"schema_version":"1.0","source":{"id":"hep-th/9607154","kind":"arxiv","version":2}},"canonical_sha256":"6f3c2ddf0b9925e14df95742d51af48c7fe2570b58a4b9a9208fbf23d0dcb6a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f3c2ddf0b9925e14df95742d51af48c7fe2570b58a4b9a9208fbf23d0dcb6a2","first_computed_at":"2026-05-18T01:06:00.683150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:00.683150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NmAwvFYxTwhoqJFK8BUKLIn5k9MuTr/TBhW88qklv+Uxgmmz3zWvPPzxShM7Iy+4X7HybdtgATVaQWNvrExYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:00.683636Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9607154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73f17f3fb6844eeab80c8af38a46233242a60c0be08368f7beba5a7d7fd9fcb6","sha256:1827fbcef5e91e866ba29cb99c80ae43155d5881e979f86d24e65401e6dc3e4d"],"state_sha256":"f6f58f2d413c407fd38b4dc2a61de4944ab25256395fd9daa9c2d51bd6e186ce"}