{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:G32E2PV7XXM2BP66APE6WJJO3J","short_pith_number":"pith:G32E2PV7","canonical_record":{"source":{"id":"2605.31588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T17:55:11Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"title_canon_sha256":"cb220382941335923871acb5a020535f0008982b506cb812a3cdd73434cefd75","abstract_canon_sha256":"a1c7b0e2f8b24b00037315703f1e683a420fa04f0f029b08c583598aabec8d6c"},"schema_version":"1.0"},"canonical_sha256":"36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0","source":{"kind":"arxiv","id":"2605.31588","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31588","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31588v1","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31588","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_12","alias_value":"G32E2PV7XXM2","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_16","alias_value":"G32E2PV7XXM2BP66","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_8","alias_value":"G32E2PV7","created_at":"2026-06-01T02:04:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:G32E2PV7XXM2BP66APE6WJJO3J","target":"record","payload":{"canonical_record":{"source":{"id":"2605.31588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T17:55:11Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"title_canon_sha256":"cb220382941335923871acb5a020535f0008982b506cb812a3cdd73434cefd75","abstract_canon_sha256":"a1c7b0e2f8b24b00037315703f1e683a420fa04f0f029b08c583598aabec8d6c"},"schema_version":"1.0"},"canonical_sha256":"36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T02:04:14.567852Z","signature_b64":"hAJDFMK5UidcGSJ5180Kn086E/gVsD9ZWt3oodJke8EJSxQrR5bJV6WV9Ue3MogJzOEaE7tgOr/ZpoMgyJI9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0","last_reissued_at":"2026-06-01T02:04:14.567415Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T02:04:14.567415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.31588","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":"2026-06-01T02:04:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1kfwAzoHfTooWa8BRATPwQeJQ+ZwhGxi4aYKBegtieGW4/vXolP+XefMLYu+G6P43yBNgWDksLKdXzq34hdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:20:22.461590Z"},"content_sha256":"98bba2ea5c3e417e13b9db6e1c07cbe1fbe58ff04b681eeba3309dc5246e9cdf","schema_version":"1.0","event_id":"sha256:98bba2ea5c3e417e13b9db6e1c07cbe1fbe58ff04b681eeba3309dc5246e9cdf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:G32E2PV7XXM2BP66APE6WJJO3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two roles of Alexander in two Kashaev phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GT","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Alexei Morozov, Dmitry Galakhov","submitted_at":"2026-05-29T17:55:11Z","abstract_excerpt":"The crucial feature of resurgence theory is the ambiguity of non-perturbative behavior, reflected either in the different choices of integration contours or in the existence of several solutions to Ward identities. This is well illustrated by considering exactly solvable models, of which the prominent example is Chern-Simons theory. Its important chapter, which should have a direct generalization to arbitrary Yang-Mills, is the consideration of Wilson averages in the double-scaling limit of large representation and small coupling. For historical reasons, we call it a Kashaev limit. It possesse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31588","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/2605.31588/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":"2026-06-01T02:04:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/eG3aq9KRyUO6YO8p2yeqq1F+nSZriH8UzwtbfRsU69Jl2xRst3TQJOoeJTF+5PlUlKSn86z1/QqVXCheuyLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:20:22.461967Z"},"content_sha256":"9be15ddd240e5923609561854bb201fd30d655217c47cf649ae0d2896d4a11f0","schema_version":"1.0","event_id":"sha256:9be15ddd240e5923609561854bb201fd30d655217c47cf649ae0d2896d4a11f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G32E2PV7XXM2BP66APE6WJJO3J/bundle.json","state_url":"https://pith.science/pith/G32E2PV7XXM2BP66APE6WJJO3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G32E2PV7XXM2BP66APE6WJJO3J/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":"2026-06-30T16:20:22Z","links":{"resolver":"https://pith.science/pith/G32E2PV7XXM2BP66APE6WJJO3J","bundle":"https://pith.science/pith/G32E2PV7XXM2BP66APE6WJJO3J/bundle.json","state":"https://pith.science/pith/G32E2PV7XXM2BP66APE6WJJO3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G32E2PV7XXM2BP66APE6WJJO3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:G32E2PV7XXM2BP66APE6WJJO3J","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":"a1c7b0e2f8b24b00037315703f1e683a420fa04f0f029b08c583598aabec8d6c","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T17:55:11Z","title_canon_sha256":"cb220382941335923871acb5a020535f0008982b506cb812a3cdd73434cefd75"},"schema_version":"1.0","source":{"id":"2605.31588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31588","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31588v1","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31588","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_12","alias_value":"G32E2PV7XXM2","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_16","alias_value":"G32E2PV7XXM2BP66","created_at":"2026-06-01T02:04:14Z"},{"alias_kind":"pith_short_8","alias_value":"G32E2PV7","created_at":"2026-06-01T02:04:14Z"}],"graph_snapshots":[{"event_id":"sha256:9be15ddd240e5923609561854bb201fd30d655217c47cf649ae0d2896d4a11f0","target":"graph","created_at":"2026-06-01T02:04:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.31588/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The crucial feature of resurgence theory is the ambiguity of non-perturbative behavior, reflected either in the different choices of integration contours or in the existence of several solutions to Ward identities. This is well illustrated by considering exactly solvable models, of which the prominent example is Chern-Simons theory. Its important chapter, which should have a direct generalization to arbitrary Yang-Mills, is the consideration of Wilson averages in the double-scaling limit of large representation and small coupling. For historical reasons, we call it a Kashaev limit. It possesse","authors_text":"Alexei Morozov, Dmitry Galakhov","cross_cats":["math-ph","math.GT","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T17:55:11Z","title":"Two roles of Alexander in two Kashaev phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31588","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":"sha256:98bba2ea5c3e417e13b9db6e1c07cbe1fbe58ff04b681eeba3309dc5246e9cdf","target":"record","created_at":"2026-06-01T02:04:14Z","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":"a1c7b0e2f8b24b00037315703f1e683a420fa04f0f029b08c583598aabec8d6c","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T17:55:11Z","title_canon_sha256":"cb220382941335923871acb5a020535f0008982b506cb812a3cdd73434cefd75"},"schema_version":"1.0","source":{"id":"2605.31588","kind":"arxiv","version":1}},"canonical_sha256":"36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0","first_computed_at":"2026-06-01T02:04:14.567415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T02:04:14.567415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hAJDFMK5UidcGSJ5180Kn086E/gVsD9ZWt3oodJke8EJSxQrR5bJV6WV9Ue3MogJzOEaE7tgOr/ZpoMgyJI9BA==","signature_status":"signed_v1","signed_at":"2026-06-01T02:04:14.567852Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98bba2ea5c3e417e13b9db6e1c07cbe1fbe58ff04b681eeba3309dc5246e9cdf","sha256:9be15ddd240e5923609561854bb201fd30d655217c47cf649ae0d2896d4a11f0"],"state_sha256":"4444c08d04cdf38204feb8e5c057c72bbd8829815032483dbd3a959de95ce2ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3EumnNFOwKrhAgLH90mO1h+gu/gOY5Uc7Is2CS/xnHs7M52e/QVqr6F6lTewReypBbnjioQSWWvmkPASLCXnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:20:22.464795Z","bundle_sha256":"65a6ecb18238e87ce5dcbd40e6380e4b54c76af803206a33bc788ed6f97ceb07"}}