{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GXI7ZNW2QJX3233CTFN32D6XKE","short_pith_number":"pith:GXI7ZNW2","canonical_record":{"source":{"id":"1403.2365","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-10T19:46:44Z","cross_cats_sorted":[],"title_canon_sha256":"638d6daaaa18e3e7c270cd8283911519b4f74fa4b36b64a46f5d0c0f6b4810f9","abstract_canon_sha256":"bddd099d57ecaf9797b012e4b7a7dce091f2386ad295a3b5cf76bee9c6c19ec1"},"schema_version":"1.0"},"canonical_sha256":"35d1fcb6da826fbd6f62995bbd0fd751303f8d541d8b79477c59ff109625d523","source":{"kind":"arxiv","id":"1403.2365","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2365","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2365v3","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2365","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"GXI7ZNW2QJX3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GXI7ZNW2QJX3233C","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GXI7ZNW2","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GXI7ZNW2QJX3233CTFN32D6XKE","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2365","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-10T19:46:44Z","cross_cats_sorted":[],"title_canon_sha256":"638d6daaaa18e3e7c270cd8283911519b4f74fa4b36b64a46f5d0c0f6b4810f9","abstract_canon_sha256":"bddd099d57ecaf9797b012e4b7a7dce091f2386ad295a3b5cf76bee9c6c19ec1"},"schema_version":"1.0"},"canonical_sha256":"35d1fcb6da826fbd6f62995bbd0fd751303f8d541d8b79477c59ff109625d523","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:09.359719Z","signature_b64":"ySoXwX4Wveyv6usUNCSecJ/RjgjsPVo+eCQKhp92SxQ5oZ1cBhQbsx/BVPulxmhtZPRq9rMVnGCBfi/GO1CDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35d1fcb6da826fbd6f62995bbd0fd751303f8d541d8b79477c59ff109625d523","last_reissued_at":"2026-05-18T01:44:09.359073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:09.359073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2365","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6gFYihngW0UFxHYlXhZFfea0fGqXPVLNelNoB6FABcyrJTm5dm/MbCaIeFqMJsNIeQg4NluWvz9LK2+ncM1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:34:34.448527Z"},"content_sha256":"e97a7de7f306d0df1f8749a54bb621618b57cec74b92fe0b18cb8af7be86aec7","schema_version":"1.0","event_id":"sha256:e97a7de7f306d0df1f8749a54bb621618b57cec74b92fe0b18cb8af7be86aec7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GXI7ZNW2QJX3233CTFN32D6XKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Janus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hao-Yu Sun, Nathan P. Moore, Nesty R.Torres-Chicon, Ori J. Ganor","submitted_at":"2014-03-10T19:46:44Z","abstract_excerpt":"We develop an equivalence between two Hilbert spaces: (i) the space of states of $U(1)^n$ Chern-Simons theory with a certain class of tridiagonal matrices of coupling constants (with corners) on $T^2$; and (ii) the space of ground states of strings on an associated mapping torus with $T^2$ fiber. The equivalence is deduced by studying the space of ground states of $SL(2,Z)$-twisted circle compactifications of $U(1)$ gauge theory, connected with a Janus configuration, and further compactified on $T^2$. The equality of dimensions of the two Hilbert spaces (i) and (ii) is equivalent to a known id"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2365","kind":"arxiv","version":3},"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":"2026-05-18T01:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EELYfIN572qeFdFQRR3m47AfYd5FYjpk9Zh4JouEVmY5WLCPvo0Q5s4EnHsTq3CP2ZW1EiWJmr715uSajz2gDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:34:34.448874Z"},"content_sha256":"daba8bd2f29073b65ad3bee76e68bf3df02a10128f64784cb235665ddc0628fa","schema_version":"1.0","event_id":"sha256:daba8bd2f29073b65ad3bee76e68bf3df02a10128f64784cb235665ddc0628fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GXI7ZNW2QJX3233CTFN32D6XKE/bundle.json","state_url":"https://pith.science/pith/GXI7ZNW2QJX3233CTFN32D6XKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GXI7ZNW2QJX3233CTFN32D6XKE/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":"2026-06-04T06:34:34Z","links":{"resolver":"https://pith.science/pith/GXI7ZNW2QJX3233CTFN32D6XKE","bundle":"https://pith.science/pith/GXI7ZNW2QJX3233CTFN32D6XKE/bundle.json","state":"https://pith.science/pith/GXI7ZNW2QJX3233CTFN32D6XKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GXI7ZNW2QJX3233CTFN32D6XKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GXI7ZNW2QJX3233CTFN32D6XKE","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":"bddd099d57ecaf9797b012e4b7a7dce091f2386ad295a3b5cf76bee9c6c19ec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-10T19:46:44Z","title_canon_sha256":"638d6daaaa18e3e7c270cd8283911519b4f74fa4b36b64a46f5d0c0f6b4810f9"},"schema_version":"1.0","source":{"id":"1403.2365","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2365","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2365v3","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2365","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"GXI7ZNW2QJX3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GXI7ZNW2QJX3233C","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GXI7ZNW2","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:daba8bd2f29073b65ad3bee76e68bf3df02a10128f64784cb235665ddc0628fa","target":"graph","created_at":"2026-05-18T01:44:09Z","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 develop an equivalence between two Hilbert spaces: (i) the space of states of $U(1)^n$ Chern-Simons theory with a certain class of tridiagonal matrices of coupling constants (with corners) on $T^2$; and (ii) the space of ground states of strings on an associated mapping torus with $T^2$ fiber. The equivalence is deduced by studying the space of ground states of $SL(2,Z)$-twisted circle compactifications of $U(1)$ gauge theory, connected with a Janus configuration, and further compactified on $T^2$. The equality of dimensions of the two Hilbert spaces (i) and (ii) is equivalent to a known id","authors_text":"Hao-Yu Sun, Nathan P. Moore, Nesty R.Torres-Chicon, Ori J. Ganor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-10T19:46:44Z","title":"Janus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2365","kind":"arxiv","version":3},"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:e97a7de7f306d0df1f8749a54bb621618b57cec74b92fe0b18cb8af7be86aec7","target":"record","created_at":"2026-05-18T01:44:09Z","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":"bddd099d57ecaf9797b012e4b7a7dce091f2386ad295a3b5cf76bee9c6c19ec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-10T19:46:44Z","title_canon_sha256":"638d6daaaa18e3e7c270cd8283911519b4f74fa4b36b64a46f5d0c0f6b4810f9"},"schema_version":"1.0","source":{"id":"1403.2365","kind":"arxiv","version":3}},"canonical_sha256":"35d1fcb6da826fbd6f62995bbd0fd751303f8d541d8b79477c59ff109625d523","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35d1fcb6da826fbd6f62995bbd0fd751303f8d541d8b79477c59ff109625d523","first_computed_at":"2026-05-18T01:44:09.359073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:09.359073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ySoXwX4Wveyv6usUNCSecJ/RjgjsPVo+eCQKhp92SxQ5oZ1cBhQbsx/BVPulxmhtZPRq9rMVnGCBfi/GO1CDDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:09.359719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2365","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e97a7de7f306d0df1f8749a54bb621618b57cec74b92fe0b18cb8af7be86aec7","sha256:daba8bd2f29073b65ad3bee76e68bf3df02a10128f64784cb235665ddc0628fa"],"state_sha256":"413c6c391f79786e442ca021451b3cfaace61f688f68abcafadf5dfea6136eca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lug/tJCQB6QNZGyM31KkskUIyUe1tGoX6HE2BoZxBBcUCqmT4mRNR6zqUCRUpW4fOqYOv1Ni+6mI4LqX1kxrAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:34:34.450972Z","bundle_sha256":"8d8097698741f18c38d5b8fb2d98c1a06ad33a223997a5835a5dea2440b63bd7"}}