{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2VJ5N2GOCTQOMWNBWR5WNMVME7","short_pith_number":"pith:2VJ5N2GO","canonical_record":{"source":{"id":"1309.0437","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-02T15:21:01Z","cross_cats_sorted":["math.AG","math.MP","math.QA","quant-ph"],"title_canon_sha256":"f789e6676306a6e929869e36eb00bd64b34d42ba1cae17c3f63380dd1e63186f","abstract_canon_sha256":"6a05370dcfad3c9e90f2286a97062916dfa415c4e5458fee574b70bf50525f78"},"schema_version":"1.0"},"canonical_sha256":"d553d6e8ce14e0e659a1b47b66b2ac27d7fe94cf6e6a62daef0195dff144c9a5","source":{"kind":"arxiv","id":"1309.0437","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0437","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0437v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0437","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"2VJ5N2GOCTQO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2VJ5N2GOCTQOMWNB","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2VJ5N2GO","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2VJ5N2GOCTQOMWNBWR5WNMVME7","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0437","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-02T15:21:01Z","cross_cats_sorted":["math.AG","math.MP","math.QA","quant-ph"],"title_canon_sha256":"f789e6676306a6e929869e36eb00bd64b34d42ba1cae17c3f63380dd1e63186f","abstract_canon_sha256":"6a05370dcfad3c9e90f2286a97062916dfa415c4e5458fee574b70bf50525f78"},"schema_version":"1.0"},"canonical_sha256":"d553d6e8ce14e0e659a1b47b66b2ac27d7fe94cf6e6a62daef0195dff144c9a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:45.677788Z","signature_b64":"KLfNA2iuR1NcGhzs6rL0nK9fk0edCY/uCXHHJkUZ4iVNxLXVmC2hIw1TknxWNTzqnkbvlYMMSF4iPZm6knRTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d553d6e8ce14e0e659a1b47b66b2ac27d7fe94cf6e6a62daef0195dff144c9a5","last_reissued_at":"2026-05-18T02:29:45.677394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:45.677394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0437","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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4ARQfrqfcaPZinwxlhAaywEf2GqadDntRcjhA01ffIS60D7OJbizlCVxjP/vKiVY3eSVteH/oYS0eX+5XPsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:49:13.543222Z"},"content_sha256":"81e39206b48dc49c2a9970ae6baa265ef8fdf5b2814b67763ae04739d77fcac2","schema_version":"1.0","event_id":"sha256:81e39206b48dc49c2a9970ae6baa265ef8fdf5b2814b67763ae04739d77fcac2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2VJ5N2GOCTQOMWNBWR5WNMVME7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resurgent Deformation Quantisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.MP","math.QA","quant-ph"],"primary_cat":"math-ph","authors_text":"Axel de Goursac, Duco van Straten, Mauricio Garay","submitted_at":"2013-09-02T15:21:01Z","abstract_excerpt":"We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurgent operators with algebraic singularities. This algebra would be large enough to capture quantum effects that escape ordinary formal deformation quantisation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0437","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":""},"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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qw/vu8PHW6ayp+dv9Gx+emKcs43T6KXIC0EvRrVUkFUYBdCet/OmLX/ZfjkOlHnYEONoonu6SD8MQKNMFHZVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:49:13.543894Z"},"content_sha256":"ad1621887d6c9c5cee34949abb4d5aea0b7c4ddc0b4d9a4e21869fcb139da2fd","schema_version":"1.0","event_id":"sha256:ad1621887d6c9c5cee34949abb4d5aea0b7c4ddc0b4d9a4e21869fcb139da2fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/bundle.json","state_url":"https://pith.science/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/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":"2026-05-30T00:49:13Z","links":{"resolver":"https://pith.science/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7","bundle":"https://pith.science/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/bundle.json","state":"https://pith.science/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VJ5N2GOCTQOMWNBWR5WNMVME7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2VJ5N2GOCTQOMWNBWR5WNMVME7","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":"6a05370dcfad3c9e90f2286a97062916dfa415c4e5458fee574b70bf50525f78","cross_cats_sorted":["math.AG","math.MP","math.QA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-02T15:21:01Z","title_canon_sha256":"f789e6676306a6e929869e36eb00bd64b34d42ba1cae17c3f63380dd1e63186f"},"schema_version":"1.0","source":{"id":"1309.0437","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0437","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0437v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0437","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"2VJ5N2GOCTQO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2VJ5N2GOCTQOMWNB","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2VJ5N2GO","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:ad1621887d6c9c5cee34949abb4d5aea0b7c4ddc0b4d9a4e21869fcb139da2fd","target":"graph","created_at":"2026-05-18T02:29:45Z","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 construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurgent operators with algebraic singularities. This algebra would be large enough to capture quantum effects that escape ordinary formal deformation quantisation.","authors_text":"Axel de Goursac, Duco van Straten, Mauricio Garay","cross_cats":["math.AG","math.MP","math.QA","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-02T15:21:01Z","title":"Resurgent Deformation Quantisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0437","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":"sha256:81e39206b48dc49c2a9970ae6baa265ef8fdf5b2814b67763ae04739d77fcac2","target":"record","created_at":"2026-05-18T02:29:45Z","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":"6a05370dcfad3c9e90f2286a97062916dfa415c4e5458fee574b70bf50525f78","cross_cats_sorted":["math.AG","math.MP","math.QA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-02T15:21:01Z","title_canon_sha256":"f789e6676306a6e929869e36eb00bd64b34d42ba1cae17c3f63380dd1e63186f"},"schema_version":"1.0","source":{"id":"1309.0437","kind":"arxiv","version":2}},"canonical_sha256":"d553d6e8ce14e0e659a1b47b66b2ac27d7fe94cf6e6a62daef0195dff144c9a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d553d6e8ce14e0e659a1b47b66b2ac27d7fe94cf6e6a62daef0195dff144c9a5","first_computed_at":"2026-05-18T02:29:45.677394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:45.677394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KLfNA2iuR1NcGhzs6rL0nK9fk0edCY/uCXHHJkUZ4iVNxLXVmC2hIw1TknxWNTzqnkbvlYMMSF4iPZm6knRTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:45.677788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0437","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81e39206b48dc49c2a9970ae6baa265ef8fdf5b2814b67763ae04739d77fcac2","sha256:ad1621887d6c9c5cee34949abb4d5aea0b7c4ddc0b4d9a4e21869fcb139da2fd"],"state_sha256":"3d8625cff218ee242c97cd8f3236eb8067f8ac7d0a5bd7124e21be9074112c71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vg3jVRYHyQwspT6fmUqCOzTCRpbO4rqdw3kkprRv41ckypoYTmTnpkP9lbjc3GM52lXDhZQfsx2dBTSsB5vLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:49:13.547551Z","bundle_sha256":"a6daef1493231bc02a431a634c2b3b4ab4ab459da48fb8249084c8d6880530fa"}}