{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:R3GUQVZ3ANFV4IQUQDN7XU63PD","short_pith_number":"pith:R3GUQVZ3","canonical_record":{"source":{"id":"0802.1232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-09T00:06:43Z","cross_cats_sorted":[],"title_canon_sha256":"d53e53e00e2dcb0dc81b2ca9cdf657fa01dea90b367ab906a6e803abec17e71d","abstract_canon_sha256":"c1ce51b8f0d6f590d4020928b9735c584deb5ee4bd7dd984fe22405ae85f6eb8"},"schema_version":"1.0"},"canonical_sha256":"8ecd48573b034b5e221480dbfbd3db78e8beab64d2114ec8014c86b324de74d4","source":{"kind":"arxiv","id":"0802.1232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.1232","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"arxiv_version","alias_value":"0802.1232v1","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.1232","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_12","alias_value":"R3GUQVZ3ANFV","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_16","alias_value":"R3GUQVZ3ANFV4IQU","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_8","alias_value":"R3GUQVZ3","created_at":"2026-07-04T17:29:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:R3GUQVZ3ANFV4IQUQDN7XU63PD","target":"record","payload":{"canonical_record":{"source":{"id":"0802.1232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-09T00:06:43Z","cross_cats_sorted":[],"title_canon_sha256":"d53e53e00e2dcb0dc81b2ca9cdf657fa01dea90b367ab906a6e803abec17e71d","abstract_canon_sha256":"c1ce51b8f0d6f590d4020928b9735c584deb5ee4bd7dd984fe22405ae85f6eb8"},"schema_version":"1.0"},"canonical_sha256":"8ecd48573b034b5e221480dbfbd3db78e8beab64d2114ec8014c86b324de74d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:29:20.626417Z","signature_b64":"unkNiTzp9unKJQFhActiIAbQqxrKL/hCXBAnZcI6evtkuYpt4Y7nD8Wz1GcPFUyzTgxczbwS0Hi4WRpPGiGlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ecd48573b034b5e221480dbfbd3db78e8beab64d2114ec8014c86b324de74d4","last_reissued_at":"2026-07-04T17:29:20.626031Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:29:20.626031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0802.1232","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":"2026-07-04T17:29:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmRUI3ao/gKZ9EbJ2Vq1GH//KVWzAaE24iEtpZO5MO/mLibKk9+/X+3UVNv5ItnRYTO3BDHkTqtHJ+S9RIamBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:56:40.844494Z"},"content_sha256":"02aedb6f8211e44c8a8650b95089e5dbd68bdd20cc6f94f30490c1220051128f","schema_version":"1.0","event_id":"sha256:02aedb6f8211e44c8a8650b95089e5dbd68bdd20cc6f94f30490c1220051128f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:R3GUQVZ3ANFV4IQUQDN7XU63PD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"QCD-like Theories on R_3\\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mikhail Shifman, Mithat Unsal","submitted_at":"2008-02-09T00:06:43Z","abstract_excerpt":"We consider QCD-like theories with one massless fermion in various representations of the gauge group SU$(N)$. The theories are formulated on $R_3\\times S_1$. In the decompactification limit of large $r(S_1)$ all these theories are characterized by confinement, mass gap and spontaneous breaking of a (discrete) chiral symmetry ($\\chi$SB). At small $r(S_1)$, in order to stabilize the vacua of these theories at a center-symmetric point, we suggest to perform a double trace deformation. With these deformation, the theories at hand are at weak coupling at small $r(S_1)$ and yet exhibit basic featur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.1232","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/0802.1232/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":"2026-07-04T17:29:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPN6BMf2wOEoLdXS/OoeTDWAiblnl7qazZxZjFxzgIcN2qJZqTeN7jj8HENhyaOPMdjflwxEI9sqX8RrR+1UCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:56:40.845022Z"},"content_sha256":"3fe033c92907d200047e9e7ed01764e109d18fcdafe6962d4090a77d0174fa29","schema_version":"1.0","event_id":"sha256:3fe033c92907d200047e9e7ed01764e109d18fcdafe6962d4090a77d0174fa29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/bundle.json","state_url":"https://pith.science/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/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":"2026-08-09T23:56:40Z","links":{"resolver":"https://pith.science/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD","bundle":"https://pith.science/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/bundle.json","state":"https://pith.science/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R3GUQVZ3ANFV4IQUQDN7XU63PD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:R3GUQVZ3ANFV4IQUQDN7XU63PD","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":"c1ce51b8f0d6f590d4020928b9735c584deb5ee4bd7dd984fe22405ae85f6eb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-09T00:06:43Z","title_canon_sha256":"d53e53e00e2dcb0dc81b2ca9cdf657fa01dea90b367ab906a6e803abec17e71d"},"schema_version":"1.0","source":{"id":"0802.1232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.1232","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"arxiv_version","alias_value":"0802.1232v1","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.1232","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_12","alias_value":"R3GUQVZ3ANFV","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_16","alias_value":"R3GUQVZ3ANFV4IQU","created_at":"2026-07-04T17:29:20Z"},{"alias_kind":"pith_short_8","alias_value":"R3GUQVZ3","created_at":"2026-07-04T17:29:20Z"}],"graph_snapshots":[{"event_id":"sha256:3fe033c92907d200047e9e7ed01764e109d18fcdafe6962d4090a77d0174fa29","target":"graph","created_at":"2026-07-04T17:29:20Z","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/0802.1232/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider QCD-like theories with one massless fermion in various representations of the gauge group SU$(N)$. The theories are formulated on $R_3\\times S_1$. In the decompactification limit of large $r(S_1)$ all these theories are characterized by confinement, mass gap and spontaneous breaking of a (discrete) chiral symmetry ($\\chi$SB). At small $r(S_1)$, in order to stabilize the vacua of these theories at a center-symmetric point, we suggest to perform a double trace deformation. With these deformation, the theories at hand are at weak coupling at small $r(S_1)$ and yet exhibit basic featur","authors_text":"Mikhail Shifman, Mithat Unsal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-09T00:06:43Z","title":"QCD-like Theories on R_3\\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.1232","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":"sha256:02aedb6f8211e44c8a8650b95089e5dbd68bdd20cc6f94f30490c1220051128f","target":"record","created_at":"2026-07-04T17:29:20Z","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":"c1ce51b8f0d6f590d4020928b9735c584deb5ee4bd7dd984fe22405ae85f6eb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-09T00:06:43Z","title_canon_sha256":"d53e53e00e2dcb0dc81b2ca9cdf657fa01dea90b367ab906a6e803abec17e71d"},"schema_version":"1.0","source":{"id":"0802.1232","kind":"arxiv","version":1}},"canonical_sha256":"8ecd48573b034b5e221480dbfbd3db78e8beab64d2114ec8014c86b324de74d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ecd48573b034b5e221480dbfbd3db78e8beab64d2114ec8014c86b324de74d4","first_computed_at":"2026-07-04T17:29:20.626031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:29:20.626031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"unkNiTzp9unKJQFhActiIAbQqxrKL/hCXBAnZcI6evtkuYpt4Y7nD8Wz1GcPFUyzTgxczbwS0Hi4WRpPGiGlAA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:29:20.626417Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.1232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02aedb6f8211e44c8a8650b95089e5dbd68bdd20cc6f94f30490c1220051128f","sha256:3fe033c92907d200047e9e7ed01764e109d18fcdafe6962d4090a77d0174fa29"],"state_sha256":"4404564faf65fd84c3b0717cc31f0d9d3c9cd3177f56be2e24c65812614ad245"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rA56sfqSZeqAvqXu2Jk0drtfSV5jrbpVeqJK/a8gri63JsOYKsSvOF8ud3xcjfYFfpjybjw1vWisZfPDgZr6BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:56:40.848590Z","bundle_sha256":"21ef14bcb85851acbf398398ad4fc749cbeff0752ae2f406130fe84667ed8136"}}