{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:N46C3XYLTES6CTPZK5BNKGXURR","short_pith_number":"pith:N46C3XYL","schema_version":"1.0","canonical_sha256":"6f3c2ddf0b9925e14df95742d51af48c7fe2570b58a4b9a9208fbf23d0dcb6a2","source":{"kind":"arxiv","id":"hep-th/9607154","version":2},"attestation_state":"computed","paper":{"title":"Critical amplitudes in two-dimensional theories","license":"","headline":"","cross_cats":["cond-mat","hep-lat"],"primary_cat":"hep-th","authors_text":"A.V. Smilga","submitted_at":"1996-07-18T12:34:45Z","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 = -"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9607154","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T12:34:45Z","cross_cats_sorted":["cond-mat","hep-lat"],"title_canon_sha256":"f4caa4fbe76b9645e17b10226a35f8c98c5f46589b9e0b334f34ca8a698e4bc9","abstract_canon_sha256":"af201eac951a9f5a3d8ee2259c7bbf091bfd8df5af1832d9248c53e3894caa8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:00.683636Z","signature_b64":"NmAwvFYxTwhoqJFK8BUKLIn5k9MuTr/TBhW88qklv+Uxgmmz3zWvPPzxShM7Iy+4X7HybdtgATVaQWNvrExYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f3c2ddf0b9925e14df95742d51af48c7fe2570b58a4b9a9208fbf23d0dcb6a2","last_reissued_at":"2026-05-18T01:06:00.683150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:00.683150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical amplitudes in two-dimensional theories","license":"","headline":"","cross_cats":["cond-mat","hep-lat"],"primary_cat":"hep-th","authors_text":"A.V. Smilga","submitted_at":"1996-07-18T12:34:45Z","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 = -"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9607154","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9607154","created_at":"2026-05-18T01:06:00.683232+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9607154v2","created_at":"2026-05-18T01:06:00.683232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9607154","created_at":"2026-05-18T01:06:00.683232+00:00"},{"alias_kind":"pith_short_12","alias_value":"N46C3XYLTES6","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"N46C3XYLTES6CTPZ","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"N46C3XYL","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.08042","citing_title":"The two-flavor Schwinger model at 50: Solving Coleman's puzzles","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR","json":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR.json","graph_json":"https://pith.science/api/pith-number/N46C3XYLTES6CTPZK5BNKGXURR/graph.json","events_json":"https://pith.science/api/pith-number/N46C3XYLTES6CTPZK5BNKGXURR/events.json","paper":"https://pith.science/paper/N46C3XYL"},"agent_actions":{"view_html":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR","download_json":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR.json","view_paper":"https://pith.science/paper/N46C3XYL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9607154&json=true","fetch_graph":"https://pith.science/api/pith-number/N46C3XYLTES6CTPZK5BNKGXURR/graph.json","fetch_events":"https://pith.science/api/pith-number/N46C3XYLTES6CTPZK5BNKGXURR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR/action/storage_attestation","attest_author":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR/action/author_attestation","sign_citation":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR/action/citation_signature","submit_replication":"https://pith.science/pith/N46C3XYLTES6CTPZK5BNKGXURR/action/replication_record"}},"created_at":"2026-05-18T01:06:00.683232+00:00","updated_at":"2026-05-18T01:06:00.683232+00:00"}