{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ROWAY3OTPVWUEQOFVJEZ2HZMOZ","short_pith_number":"pith:ROWAY3OT","canonical_record":{"source":{"id":"2209.15546","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-30T15:47:41Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"4c93e30065dfbc578b798e6457dab39909c18bbda8bb68e912355bf2ab40a615","abstract_canon_sha256":"68d174a61ad5f6eb8064f7e35f2e0b723bac94aa37c90d5a5505775c3e23717f"},"schema_version":"1.0"},"canonical_sha256":"8bac0c6dd37d6d4241c5aa499d1f2c7647a096fbf4ddbc2585fff6b1a728db9a","source":{"kind":"arxiv","id":"2209.15546","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.15546","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"arxiv_version","alias_value":"2209.15546v1","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.15546","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_12","alias_value":"ROWAY3OTPVWU","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_16","alias_value":"ROWAY3OTPVWUEQOF","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_8","alias_value":"ROWAY3OT","created_at":"2026-07-05T06:36:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ROWAY3OTPVWUEQOFVJEZ2HZMOZ","target":"record","payload":{"canonical_record":{"source":{"id":"2209.15546","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-30T15:47:41Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"4c93e30065dfbc578b798e6457dab39909c18bbda8bb68e912355bf2ab40a615","abstract_canon_sha256":"68d174a61ad5f6eb8064f7e35f2e0b723bac94aa37c90d5a5505775c3e23717f"},"schema_version":"1.0"},"canonical_sha256":"8bac0c6dd37d6d4241c5aa499d1f2c7647a096fbf4ddbc2585fff6b1a728db9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:36:23.187176Z","signature_b64":"N/sbA6JoPz9oS5D7HT/RAhkwkNz3XnLZkS4TeTdQYpWZuzllbAqGbngiyWBhyBiitF1xu0oO21n4gEWQnnA2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bac0c6dd37d6d4241c5aa499d1f2c7647a096fbf4ddbc2585fff6b1a728db9a","last_reissued_at":"2026-07-05T06:36:23.186753Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:36:23.186753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.15546","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":"2026-07-05T06:36:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTjexAFOOGZMDHJ5nw21wfqG0DlQ3dLtxG+62Q5PRc/iJuygYhpJ+XnKQSpEU5ktQWgqdeWap6eTTFwTAup9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:44:49.389244Z"},"content_sha256":"b8529a3e52457bc027b504783925cddac8efe0a56d3b346508c3ad6525212899","schema_version":"1.0","event_id":"sha256:b8529a3e52457bc027b504783925cddac8efe0a56d3b346508c3ad6525212899"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ROWAY3OTPVWUEQOFVJEZ2HZMOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ising Model on the Affine Plane","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Evan K. Owen, Richard C. Brower","submitted_at":"2022-09-30T15:47:41Z","abstract_excerpt":"We demonstrate that the Ising model on a general triangular graph with 3 distinct couplings $K_1,K_2,K_3$ corresponds to an affine transformed conformal field theory (CFT). Full conformal invariance of the $c= 1/2$ minimal CFT is restored by introducing a metric on the lattice through the map $\\sinh(2K_i) = \\ell^*_i/ \\ell_i$ which relates critical couplings to the ratio of the dual hexagonal and triangular edge lengths. Applied to a 2d toroidal lattice, this provides an exact lattice formulation in the continuum limit to the Ising CFT as a function of the modular parameter. This example can be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.15546","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.15546/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":"2026-07-05T06:36:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4kmwgTNH7UwsIPvZULwq5ZVAAQ45S33ZP2csz+1Bug6ISkbcvORqsm2ImGxk3dy8ez4StYerUNDPlJNVqH3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:44:49.389896Z"},"content_sha256":"542d2f19816824f09148c157a8eef2314010814e896f24866c43912750c521d5","schema_version":"1.0","event_id":"sha256:542d2f19816824f09148c157a8eef2314010814e896f24866c43912750c521d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/bundle.json","state_url":"https://pith.science/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/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":"2026-08-05T19:44:49Z","links":{"resolver":"https://pith.science/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ","bundle":"https://pith.science/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/bundle.json","state":"https://pith.science/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROWAY3OTPVWUEQOFVJEZ2HZMOZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ROWAY3OTPVWUEQOFVJEZ2HZMOZ","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":"68d174a61ad5f6eb8064f7e35f2e0b723bac94aa37c90d5a5505775c3e23717f","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-30T15:47:41Z","title_canon_sha256":"4c93e30065dfbc578b798e6457dab39909c18bbda8bb68e912355bf2ab40a615"},"schema_version":"1.0","source":{"id":"2209.15546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.15546","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"arxiv_version","alias_value":"2209.15546v1","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.15546","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_12","alias_value":"ROWAY3OTPVWU","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_16","alias_value":"ROWAY3OTPVWUEQOF","created_at":"2026-07-05T06:36:23Z"},{"alias_kind":"pith_short_8","alias_value":"ROWAY3OT","created_at":"2026-07-05T06:36:23Z"}],"graph_snapshots":[{"event_id":"sha256:542d2f19816824f09148c157a8eef2314010814e896f24866c43912750c521d5","target":"graph","created_at":"2026-07-05T06:36:23Z","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/2209.15546/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate that the Ising model on a general triangular graph with 3 distinct couplings $K_1,K_2,K_3$ corresponds to an affine transformed conformal field theory (CFT). Full conformal invariance of the $c= 1/2$ minimal CFT is restored by introducing a metric on the lattice through the map $\\sinh(2K_i) = \\ell^*_i/ \\ell_i$ which relates critical couplings to the ratio of the dual hexagonal and triangular edge lengths. Applied to a 2d toroidal lattice, this provides an exact lattice formulation in the continuum limit to the Ising CFT as a function of the modular parameter. This example can be","authors_text":"Evan K. Owen, Richard C. Brower","cross_cats":["hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-30T15:47:41Z","title":"Ising Model on the Affine Plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.15546","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:b8529a3e52457bc027b504783925cddac8efe0a56d3b346508c3ad6525212899","target":"record","created_at":"2026-07-05T06:36:23Z","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":"68d174a61ad5f6eb8064f7e35f2e0b723bac94aa37c90d5a5505775c3e23717f","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-30T15:47:41Z","title_canon_sha256":"4c93e30065dfbc578b798e6457dab39909c18bbda8bb68e912355bf2ab40a615"},"schema_version":"1.0","source":{"id":"2209.15546","kind":"arxiv","version":1}},"canonical_sha256":"8bac0c6dd37d6d4241c5aa499d1f2c7647a096fbf4ddbc2585fff6b1a728db9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bac0c6dd37d6d4241c5aa499d1f2c7647a096fbf4ddbc2585fff6b1a728db9a","first_computed_at":"2026-07-05T06:36:23.186753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:36:23.186753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N/sbA6JoPz9oS5D7HT/RAhkwkNz3XnLZkS4TeTdQYpWZuzllbAqGbngiyWBhyBiitF1xu0oO21n4gEWQnnA2Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:36:23.187176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.15546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8529a3e52457bc027b504783925cddac8efe0a56d3b346508c3ad6525212899","sha256:542d2f19816824f09148c157a8eef2314010814e896f24866c43912750c521d5"],"state_sha256":"84ad504af2ca2acb6cf1c95a26d3f8f1f9de38b9862b647123da9c94890c59db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnJsOB1qTJRXtQB9PXQdENrkl396oi8TDDUjYNE/WT1wD7/j07ywCfh0NWoOJv/dwQq7dNeGKcOmmdMDExCZDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:44:49.396525Z","bundle_sha256":"fb36827c0e3fd6e9c6ce69ed8ada93541cd604d04539a82aea245cce3583b84a"}}