{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:O77QWLGUV3SE2LO3FEXIO4YRVR","short_pith_number":"pith:O77QWLGU","canonical_record":{"source":{"id":"1709.06048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-18T17:11:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"7c9b8aa88d92cb9445fc140f17831b0b1fb64ea170083309e63119ca3027caad","abstract_canon_sha256":"11d079a2d24ad3793a239c954b11a34252ecba41d74cc5037aca548371319228"},"schema_version":"1.0"},"canonical_sha256":"77ff0b2cd4aee44d2ddb292e877311ac677532f7ccae54a52d543018f217ae02","source":{"kind":"arxiv","id":"1709.06048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06048","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06048v1","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06048","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"O77QWLGUV3SE","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O77QWLGUV3SE2LO3","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O77QWLGU","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:O77QWLGUV3SE2LO3FEXIO4YRVR","target":"record","payload":{"canonical_record":{"source":{"id":"1709.06048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-18T17:11:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"7c9b8aa88d92cb9445fc140f17831b0b1fb64ea170083309e63119ca3027caad","abstract_canon_sha256":"11d079a2d24ad3793a239c954b11a34252ecba41d74cc5037aca548371319228"},"schema_version":"1.0"},"canonical_sha256":"77ff0b2cd4aee44d2ddb292e877311ac677532f7ccae54a52d543018f217ae02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:14.034673Z","signature_b64":"mj3AcjycSt0NOUEf36QE0AZd3crsA2Nin0FiPB4IdrBkbgS0ymqL5M0N3SPhU17H7HWJo/f+4tAfPZlvIGefCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77ff0b2cd4aee44d2ddb292e877311ac677532f7ccae54a52d543018f217ae02","last_reissued_at":"2026-05-18T00:28:14.033876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:14.033876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.06048","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":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bZADZs+R0DxkOJ3wupjIoGUSE2Ue3MTY4/DxHYukrfdhN/YrSQdn13ZJ8JLazhdnmcHEz4jfQVELYAyHhqbOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:09:24.881207Z"},"content_sha256":"a8ab2738ae69a1c84b22231b5b6371385650ff08bad266dac6f0399ee9718a6e","schema_version":"1.0","event_id":"sha256:a8ab2738ae69a1c84b22231b5b6371385650ff08bad266dac6f0399ee9718a6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:O77QWLGUV3SE2LO3FEXIO4YRVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"hep-lat","authors_text":"Shailesh Chandrasekharan, Venkitesh Ayyar","submitted_at":"2017-09-18T17:11:10Z","abstract_excerpt":"Using the example of a two dimensional four-fermion lattice field theory we demonstrate that Feynman diagrams can generate a mass gap when massless fermions interact via a marginally relevant coupling. We introduce an infrared cutoff through the finite system size so that the perturbation series for the partition function and observables become convergent. We then use the Monte Carlo approach to sample sufficiently high orders of diagrams to expose the presence of a mass gap in the lattice model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06048","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":""},"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":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N7KXnjLEjx2Pi8j6hvsV6aCKjcg1SwUxVAC1iG0vom1daB+g9cJJUZfeAGIqYsf4jXBO/YklFNExBPXlp+PeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:09:24.881876Z"},"content_sha256":"501eafc26a12113e553261eff61e9085764e7b2263d6a73a7117e99228196bd5","schema_version":"1.0","event_id":"sha256:501eafc26a12113e553261eff61e9085764e7b2263d6a73a7117e99228196bd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/bundle.json","state_url":"https://pith.science/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/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":"2026-05-26T11:09:24Z","links":{"resolver":"https://pith.science/pith/O77QWLGUV3SE2LO3FEXIO4YRVR","bundle":"https://pith.science/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/bundle.json","state":"https://pith.science/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O77QWLGUV3SE2LO3FEXIO4YRVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O77QWLGUV3SE2LO3FEXIO4YRVR","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":"11d079a2d24ad3793a239c954b11a34252ecba41d74cc5037aca548371319228","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-18T17:11:10Z","title_canon_sha256":"7c9b8aa88d92cb9445fc140f17831b0b1fb64ea170083309e63119ca3027caad"},"schema_version":"1.0","source":{"id":"1709.06048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06048","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06048v1","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06048","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"O77QWLGUV3SE","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O77QWLGUV3SE2LO3","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O77QWLGU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:501eafc26a12113e553261eff61e9085764e7b2263d6a73a7117e99228196bd5","target":"graph","created_at":"2026-05-18T00:28:14Z","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":"Using the example of a two dimensional four-fermion lattice field theory we demonstrate that Feynman diagrams can generate a mass gap when massless fermions interact via a marginally relevant coupling. We introduce an infrared cutoff through the finite system size so that the perturbation series for the partition function and observables become convergent. We then use the Monte Carlo approach to sample sufficiently high orders of diagrams to expose the presence of a mass gap in the lattice model.","authors_text":"Shailesh Chandrasekharan, Venkitesh Ayyar","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-18T17:11:10Z","title":"Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06048","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:a8ab2738ae69a1c84b22231b5b6371385650ff08bad266dac6f0399ee9718a6e","target":"record","created_at":"2026-05-18T00:28:14Z","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":"11d079a2d24ad3793a239c954b11a34252ecba41d74cc5037aca548371319228","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-18T17:11:10Z","title_canon_sha256":"7c9b8aa88d92cb9445fc140f17831b0b1fb64ea170083309e63119ca3027caad"},"schema_version":"1.0","source":{"id":"1709.06048","kind":"arxiv","version":1}},"canonical_sha256":"77ff0b2cd4aee44d2ddb292e877311ac677532f7ccae54a52d543018f217ae02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77ff0b2cd4aee44d2ddb292e877311ac677532f7ccae54a52d543018f217ae02","first_computed_at":"2026-05-18T00:28:14.033876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:14.033876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mj3AcjycSt0NOUEf36QE0AZd3crsA2Nin0FiPB4IdrBkbgS0ymqL5M0N3SPhU17H7HWJo/f+4tAfPZlvIGefCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:14.034673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8ab2738ae69a1c84b22231b5b6371385650ff08bad266dac6f0399ee9718a6e","sha256:501eafc26a12113e553261eff61e9085764e7b2263d6a73a7117e99228196bd5"],"state_sha256":"b48123c7a6f79f5204445c7fc9e8c18816122c9234ef40430e4011db48a70abe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pl2qwjGed7udEgxCV5ou+B08Cc7Z4JRHd5GpF3KLlZ6ECLwg/S06Xb9jZ+qPngQKiLB/9cEM1RS6lFrj19sUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:09:24.885411Z","bundle_sha256":"c002dec8a4c46d3343bae52a201f3035e96414171ba0453bf512480ed4d51666"}}