{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DAA5GNM3AIVVLAZ6BROOJW34MZ","short_pith_number":"pith:DAA5GNM3","canonical_record":{"source":{"id":"1111.6425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-28T12:11:02Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"5a306a10ea2859b6373e6245be8aa7f65a2d5f4573824f346d7d93a391fe40ae","abstract_canon_sha256":"6222c5e48eec6d4cd4c5ae02beb11376893ee741a1e17be353f6328e776fd899"},"schema_version":"1.0"},"canonical_sha256":"1801d3359b022b55833e0c5ce4db7c666778ef1754f1704f3794ba29ba9e1a9b","source":{"kind":"arxiv","id":"1111.6425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6425","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6425v1","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6425","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"DAA5GNM3AIVV","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DAA5GNM3AIVVLAZ6","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DAA5GNM3","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DAA5GNM3AIVVLAZ6BROOJW34MZ","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-28T12:11:02Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"5a306a10ea2859b6373e6245be8aa7f65a2d5f4573824f346d7d93a391fe40ae","abstract_canon_sha256":"6222c5e48eec6d4cd4c5ae02beb11376893ee741a1e17be353f6328e776fd899"},"schema_version":"1.0"},"canonical_sha256":"1801d3359b022b55833e0c5ce4db7c666778ef1754f1704f3794ba29ba9e1a9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:30.086730Z","signature_b64":"XtuIe23qC0NypQMtKgquNISyLJDysbfi/U5YxqecNkN2pXT+lvbl5bbIyYNjdLsOMu2AKr8/2wVP9qA8P5cIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1801d3359b022b55833e0c5ce4db7c666778ef1754f1704f3794ba29ba9e1a9b","last_reissued_at":"2026-05-18T04:07:30.085229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:30.085229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6425","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":"2026-05-18T04:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2oH6NePPzTlcavf4skxXIiZrdcbYSjlCbb79EjE6A2WUaZ9h9e3L2q16ozj5wXIIi2q3Gcs5gDPldPBjGS5iBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:51:03.635722Z"},"content_sha256":"cbe368be379b81e13d5413712d909cb1ee6af5d538cbef3a4ba6caac3da2ab96","schema_version":"1.0","event_id":"sha256:cbe368be379b81e13d5413712d909cb1ee6af5d538cbef3a4ba6caac3da2ab96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DAA5GNM3AIVVLAZ6BROOJW34MZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generating the mass gap of the sine-Gordon model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"V. Pangon","submitted_at":"2011-11-28T12:11:02Z","abstract_excerpt":"We discuss in this study the possibility of finding a finite mass gap in the broken phase of the sine-Gordon model in $d=2$ using the functional flows. We demonstrate that the signal of the presence of massive excitations, a finite positively-curved {\\em blocked} potential around its minima, is recovered only in our treatment. The usual results based on the flow of the Fourier expansion of the {\\em blocked} action are then shown to actually fit a singularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6425","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":"2026-05-18T04:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KtCXarZVXzQCs9xVns82/0ufqd3B25KdZhwvMxONWBZY7Z7yQ8FnaEzJu8wJ/0vfuQo2BzbZ1YPM3mf3ffzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:51:03.636086Z"},"content_sha256":"ab6ef56381865f1cb2cdb21cb40152bc42b0830fdd3f3899ae8aa1008e73b3b9","schema_version":"1.0","event_id":"sha256:ab6ef56381865f1cb2cdb21cb40152bc42b0830fdd3f3899ae8aa1008e73b3b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/bundle.json","state_url":"https://pith.science/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/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":"2026-06-28T15:51:03Z","links":{"resolver":"https://pith.science/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ","bundle":"https://pith.science/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/bundle.json","state":"https://pith.science/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAA5GNM3AIVVLAZ6BROOJW34MZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DAA5GNM3AIVVLAZ6BROOJW34MZ","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":"6222c5e48eec6d4cd4c5ae02beb11376893ee741a1e17be353f6328e776fd899","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-28T12:11:02Z","title_canon_sha256":"5a306a10ea2859b6373e6245be8aa7f65a2d5f4573824f346d7d93a391fe40ae"},"schema_version":"1.0","source":{"id":"1111.6425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6425","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6425v1","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6425","created_at":"2026-05-18T04:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"DAA5GNM3AIVV","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DAA5GNM3AIVVLAZ6","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DAA5GNM3","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:ab6ef56381865f1cb2cdb21cb40152bc42b0830fdd3f3899ae8aa1008e73b3b9","target":"graph","created_at":"2026-05-18T04:07:30Z","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 discuss in this study the possibility of finding a finite mass gap in the broken phase of the sine-Gordon model in $d=2$ using the functional flows. We demonstrate that the signal of the presence of massive excitations, a finite positively-curved {\\em blocked} potential around its minima, is recovered only in our treatment. The usual results based on the flow of the Fourier expansion of the {\\em blocked} action are then shown to actually fit a singularity.","authors_text":"V. Pangon","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-28T12:11:02Z","title":"Generating the mass gap of the sine-Gordon model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6425","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:cbe368be379b81e13d5413712d909cb1ee6af5d538cbef3a4ba6caac3da2ab96","target":"record","created_at":"2026-05-18T04:07:30Z","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":"6222c5e48eec6d4cd4c5ae02beb11376893ee741a1e17be353f6328e776fd899","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-28T12:11:02Z","title_canon_sha256":"5a306a10ea2859b6373e6245be8aa7f65a2d5f4573824f346d7d93a391fe40ae"},"schema_version":"1.0","source":{"id":"1111.6425","kind":"arxiv","version":1}},"canonical_sha256":"1801d3359b022b55833e0c5ce4db7c666778ef1754f1704f3794ba29ba9e1a9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1801d3359b022b55833e0c5ce4db7c666778ef1754f1704f3794ba29ba9e1a9b","first_computed_at":"2026-05-18T04:07:30.085229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:30.085229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XtuIe23qC0NypQMtKgquNISyLJDysbfi/U5YxqecNkN2pXT+lvbl5bbIyYNjdLsOMu2AKr8/2wVP9qA8P5cIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:30.086730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbe368be379b81e13d5413712d909cb1ee6af5d538cbef3a4ba6caac3da2ab96","sha256:ab6ef56381865f1cb2cdb21cb40152bc42b0830fdd3f3899ae8aa1008e73b3b9"],"state_sha256":"cebb64e009a15e9cb211cc40942f1cdd0dc8aefea4a1df1b72795f3f8027c80a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BeAocPpeSTOHKzuIV1wHHuvQmJLUPKyIkFN2gdgrvWmkB1J4CIPmiievTIpJK2aSvLAEfQWEqomu0VjSpEp2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T15:51:03.637973Z","bundle_sha256":"ac50960364539258fc7d7b157b907741e141140e5ca045530686d2beae247c21"}}