{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CXYCLTZ3YIAJVUNZSSVYL4TPPH","short_pith_number":"pith:CXYCLTZ3","canonical_record":{"source":{"id":"2410.08552","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-11T06:04:46Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"9811c76fd53b7d6e776cf25440ea4ae58c18226cd544ac3dfbb5bb676acaa555","abstract_canon_sha256":"1ece85123d46147997de399e13917ee6423152df9aea58b2fc4352ea8891c492"},"schema_version":"1.0"},"canonical_sha256":"15f025cf3bc2009ad1b994ab85f26f79c31800e6ba3bd248fd8d4c5e46adeb31","source":{"kind":"arxiv","id":"2410.08552","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08552","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08552v2","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08552","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"CXYCLTZ3YIAJ","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_16","alias_value":"CXYCLTZ3YIAJVUNZ","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_8","alias_value":"CXYCLTZ3","created_at":"2026-07-05T10:44:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CXYCLTZ3YIAJVUNZSSVYL4TPPH","target":"record","payload":{"canonical_record":{"source":{"id":"2410.08552","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-11T06:04:46Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"9811c76fd53b7d6e776cf25440ea4ae58c18226cd544ac3dfbb5bb676acaa555","abstract_canon_sha256":"1ece85123d46147997de399e13917ee6423152df9aea58b2fc4352ea8891c492"},"schema_version":"1.0"},"canonical_sha256":"15f025cf3bc2009ad1b994ab85f26f79c31800e6ba3bd248fd8d4c5e46adeb31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:44:40.439335Z","signature_b64":"+CYnRU1+n2hMn15S8jV6sEMczEjpoRry6bZVOHSqWl7SzQCmrCvnxNlzKTyQlcFT0iYCHD3XKsKlcIoRTwnOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15f025cf3bc2009ad1b994ab85f26f79c31800e6ba3bd248fd8d4c5e46adeb31","last_reissued_at":"2026-07-05T10:44:40.438836Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:44:40.438836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.08552","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gns2MafoCxPUBYvrji2yD5jeU0W8bbsaGPytNGYLZwLEgd/tu7Lzi0gi/qeQQC1BeHpGXVn0GU5l2yiyTpqHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T05:32:00.152425Z"},"content_sha256":"1e47087d2d6e35bac918203f46cbb2aa351e24e373aa1fcb346ccc18a784f1db","schema_version":"1.0","event_id":"sha256:1e47087d2d6e35bac918203f46cbb2aa351e24e373aa1fcb346ccc18a784f1db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CXYCLTZ3YIAJVUNZSSVYL4TPPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical Continuum Limit of the String Field Theory Dual to Lattice Gauge Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Kiyoharu Kawana","submitted_at":"2024-10-11T06:04:46Z","abstract_excerpt":"We discuss the classical continuum limit of the string field theory dual to the $\\mathrm{SU}(N)$ lattice gauge theory and investigate various fundamental phenomena in the continuum theory at the mean-field level. Our construction of the continuum theory is based on the concept of {\\it area derivative}, which can be regarded as a generalization of the ordinary derivative $\\partial/\\partial x^\\mu$ to operators acting on functional fields $\\phi[C]$ on the loop space. The resultant continuum theory has a $\\mathbb{Z}_N^{}$ $1$-form global symmetry, which originates in the $\\mathbb{Z}_N^{}$ center s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08552","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.08552/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":"2026-07-05T10:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LQM8yudvJupsIkpqWgyqPq3kt8Kvz0Vjk2LU5zTjPEbfm4RY5cUJBxghxOuj4Rcd4x0F88LkLt8QSyXXjpL/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T05:32:00.152783Z"},"content_sha256":"fd546450a307a507cd3c6a54a2e751c213cfeb7f73fded7f7d2e4b9bcbbf0a24","schema_version":"1.0","event_id":"sha256:fd546450a307a507cd3c6a54a2e751c213cfeb7f73fded7f7d2e4b9bcbbf0a24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/bundle.json","state_url":"https://pith.science/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/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":"2026-07-17T05:32:00Z","links":{"resolver":"https://pith.science/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH","bundle":"https://pith.science/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/bundle.json","state":"https://pith.science/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXYCLTZ3YIAJVUNZSSVYL4TPPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CXYCLTZ3YIAJVUNZSSVYL4TPPH","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":"1ece85123d46147997de399e13917ee6423152df9aea58b2fc4352ea8891c492","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-11T06:04:46Z","title_canon_sha256":"9811c76fd53b7d6e776cf25440ea4ae58c18226cd544ac3dfbb5bb676acaa555"},"schema_version":"1.0","source":{"id":"2410.08552","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08552","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08552v2","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08552","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"CXYCLTZ3YIAJ","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_16","alias_value":"CXYCLTZ3YIAJVUNZ","created_at":"2026-07-05T10:44:40Z"},{"alias_kind":"pith_short_8","alias_value":"CXYCLTZ3","created_at":"2026-07-05T10:44:40Z"}],"graph_snapshots":[{"event_id":"sha256:fd546450a307a507cd3c6a54a2e751c213cfeb7f73fded7f7d2e4b9bcbbf0a24","target":"graph","created_at":"2026-07-05T10:44:40Z","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/2410.08552/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the classical continuum limit of the string field theory dual to the $\\mathrm{SU}(N)$ lattice gauge theory and investigate various fundamental phenomena in the continuum theory at the mean-field level. Our construction of the continuum theory is based on the concept of {\\it area derivative}, which can be regarded as a generalization of the ordinary derivative $\\partial/\\partial x^\\mu$ to operators acting on functional fields $\\phi[C]$ on the loop space. The resultant continuum theory has a $\\mathbb{Z}_N^{}$ $1$-form global symmetry, which originates in the $\\mathbb{Z}_N^{}$ center s","authors_text":"Kiyoharu Kawana","cross_cats":["hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-11T06:04:46Z","title":"Classical Continuum Limit of the String Field Theory Dual to Lattice Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08552","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":"sha256:1e47087d2d6e35bac918203f46cbb2aa351e24e373aa1fcb346ccc18a784f1db","target":"record","created_at":"2026-07-05T10:44:40Z","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":"1ece85123d46147997de399e13917ee6423152df9aea58b2fc4352ea8891c492","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-11T06:04:46Z","title_canon_sha256":"9811c76fd53b7d6e776cf25440ea4ae58c18226cd544ac3dfbb5bb676acaa555"},"schema_version":"1.0","source":{"id":"2410.08552","kind":"arxiv","version":2}},"canonical_sha256":"15f025cf3bc2009ad1b994ab85f26f79c31800e6ba3bd248fd8d4c5e46adeb31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15f025cf3bc2009ad1b994ab85f26f79c31800e6ba3bd248fd8d4c5e46adeb31","first_computed_at":"2026-07-05T10:44:40.438836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:40.438836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+CYnRU1+n2hMn15S8jV6sEMczEjpoRry6bZVOHSqWl7SzQCmrCvnxNlzKTyQlcFT0iYCHD3XKsKlcIoRTwnOCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:40.439335Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.08552","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e47087d2d6e35bac918203f46cbb2aa351e24e373aa1fcb346ccc18a784f1db","sha256:fd546450a307a507cd3c6a54a2e751c213cfeb7f73fded7f7d2e4b9bcbbf0a24"],"state_sha256":"23f93f308b37d99799f9bd0394188792f303e78410b576b226a7753cc6512cb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"px8cvWn9eTiWObMUbUZLAtIO1P8cw+RO4djBDuBn2h2Nyp7RPLDvcpYT4ldEZA5k/lCJCzc3grL8mwoau5MRCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T05:32:00.155211Z","bundle_sha256":"49445b50256fc6b5ec5a448bf40a8476ea75706a83ac92064dd21ba97c32b88e"}}