{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MQ2IPI3AW22TQPG3TLJMBNBBK3","short_pith_number":"pith:MQ2IPI3A","canonical_record":{"source":{"id":"2606.06542","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.HO","submitted_at":"2026-06-04T05:33:07Z","cross_cats_sorted":[],"title_canon_sha256":"bc2e21258453249d7f95984b2e321ea637628d766c775b066200e5a2613404fe","abstract_canon_sha256":"ebecdd239edf19b39d244ed5afd170719c3d844e90246161b3a5a52f96dd9f28"},"schema_version":"1.0"},"canonical_sha256":"643487a360b6b5383cdb9ad2c0b42156f196f21c8eb8da91f7cf63c6c47232d7","source":{"kind":"arxiv","id":"2606.06542","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06542","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06542v1","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06542","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"MQ2IPI3AW22T","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"MQ2IPI3AW22TQPG3","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"MQ2IPI3A","created_at":"2026-06-08T00:03:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MQ2IPI3AW22TQPG3TLJMBNBBK3","target":"record","payload":{"canonical_record":{"source":{"id":"2606.06542","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.HO","submitted_at":"2026-06-04T05:33:07Z","cross_cats_sorted":[],"title_canon_sha256":"bc2e21258453249d7f95984b2e321ea637628d766c775b066200e5a2613404fe","abstract_canon_sha256":"ebecdd239edf19b39d244ed5afd170719c3d844e90246161b3a5a52f96dd9f28"},"schema_version":"1.0"},"canonical_sha256":"643487a360b6b5383cdb9ad2c0b42156f196f21c8eb8da91f7cf63c6c47232d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T00:03:41.708223Z","signature_b64":"siQ6/u+CwWXP3T1xbSQoIMKkYeqKhgp6Xgk/0kXMFSI1yIsyScVgjUC+I2yofxyxGdWXQWjr1Qr7FJUM2j0vDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"643487a360b6b5383cdb9ad2c0b42156f196f21c8eb8da91f7cf63c6c47232d7","last_reissued_at":"2026-06-08T00:03:41.707399Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T00:03:41.707399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.06542","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":"2026-06-08T00:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RM0pmvrVs60cN9zbTRsUm+jaMiOhTpwruypNSrDvdOyRBBu34xKfl0agorY+dvwHtyC93IwaimHyObDhWDgUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:35:04.592961Z"},"content_sha256":"1d044ff20e1b46927d5547fff20423153810a8f73861abf335b84e3fa76e4026","schema_version":"1.0","event_id":"sha256:1d044ff20e1b46927d5547fff20423153810a8f73861abf335b84e3fa76e4026"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MQ2IPI3AW22TQPG3TLJMBNBBK3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"When infinity stopped being embarrassing: The doubly infinite series of Pierre Alphonse Laurent and the mathematical rehabilitation of singularities","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"B. Sriraman, N. Karjanto","submitted_at":"2026-06-04T05:33:07Z","abstract_excerpt":"For the better part of a century, isolated singularities were treated as pathological obstructions requiring elaborate avoidance strategies. Pierre Alphonse Laurent (1813--1854), a French military engineer at Le Havre, ended this avoidance in 1843 by extending Cauchy's Taylor-type theorem to doubly connected (annular) domains, producing the doubly infinite power series that now bears his name. Negative-power terms in the expansion encode precise geometric information about the singularity rather than signaling a breakdown of the formalism. Laurent's contribution arrived through an unhappy inst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06542","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/2606.06542/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":"2026-06-08T00:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDJtklJPDWQtBsb9jlxDJS7ZGTfQfeCCGaXEsnsNzenifah1TbS9DkWwHbAy0+I8R5uk3xqMkWIcTeyVmH58Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:35:04.593621Z"},"content_sha256":"d09b992a5dfad72cd6d81b86d3940fe160d3dc6521d99b345cea090802a07a89","schema_version":"1.0","event_id":"sha256:d09b992a5dfad72cd6d81b86d3940fe160d3dc6521d99b345cea090802a07a89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/bundle.json","state_url":"https://pith.science/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/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":"2026-06-30T22:35:04Z","links":{"resolver":"https://pith.science/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3","bundle":"https://pith.science/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/bundle.json","state":"https://pith.science/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MQ2IPI3AW22TQPG3TLJMBNBBK3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MQ2IPI3AW22TQPG3TLJMBNBBK3","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":"ebecdd239edf19b39d244ed5afd170719c3d844e90246161b3a5a52f96dd9f28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.HO","submitted_at":"2026-06-04T05:33:07Z","title_canon_sha256":"bc2e21258453249d7f95984b2e321ea637628d766c775b066200e5a2613404fe"},"schema_version":"1.0","source":{"id":"2606.06542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06542","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06542v1","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06542","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"MQ2IPI3AW22T","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"MQ2IPI3AW22TQPG3","created_at":"2026-06-08T00:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"MQ2IPI3A","created_at":"2026-06-08T00:03:41Z"}],"graph_snapshots":[{"event_id":"sha256:d09b992a5dfad72cd6d81b86d3940fe160d3dc6521d99b345cea090802a07a89","target":"graph","created_at":"2026-06-08T00:03:41Z","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/2606.06542/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the better part of a century, isolated singularities were treated as pathological obstructions requiring elaborate avoidance strategies. Pierre Alphonse Laurent (1813--1854), a French military engineer at Le Havre, ended this avoidance in 1843 by extending Cauchy's Taylor-type theorem to doubly connected (annular) domains, producing the doubly infinite power series that now bears his name. Negative-power terms in the expansion encode precise geometric information about the singularity rather than signaling a breakdown of the formalism. Laurent's contribution arrived through an unhappy inst","authors_text":"B. Sriraman, N. Karjanto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.HO","submitted_at":"2026-06-04T05:33:07Z","title":"When infinity stopped being embarrassing: The doubly infinite series of Pierre Alphonse Laurent and the mathematical rehabilitation of singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06542","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":"sha256:1d044ff20e1b46927d5547fff20423153810a8f73861abf335b84e3fa76e4026","target":"record","created_at":"2026-06-08T00:03:41Z","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":"ebecdd239edf19b39d244ed5afd170719c3d844e90246161b3a5a52f96dd9f28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.HO","submitted_at":"2026-06-04T05:33:07Z","title_canon_sha256":"bc2e21258453249d7f95984b2e321ea637628d766c775b066200e5a2613404fe"},"schema_version":"1.0","source":{"id":"2606.06542","kind":"arxiv","version":1}},"canonical_sha256":"643487a360b6b5383cdb9ad2c0b42156f196f21c8eb8da91f7cf63c6c47232d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"643487a360b6b5383cdb9ad2c0b42156f196f21c8eb8da91f7cf63c6c47232d7","first_computed_at":"2026-06-08T00:03:41.707399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T00:03:41.707399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"siQ6/u+CwWXP3T1xbSQoIMKkYeqKhgp6Xgk/0kXMFSI1yIsyScVgjUC+I2yofxyxGdWXQWjr1Qr7FJUM2j0vDg==","signature_status":"signed_v1","signed_at":"2026-06-08T00:03:41.708223Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d044ff20e1b46927d5547fff20423153810a8f73861abf335b84e3fa76e4026","sha256:d09b992a5dfad72cd6d81b86d3940fe160d3dc6521d99b345cea090802a07a89"],"state_sha256":"852ea0e2e5b840e822d7f67813e0b679ce81720787056d9faab7d53bd6b82265"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kL44KHQKIM+5wPnGWwnfApy2d3QgKW764GUbqbOLQt7db4HZJwbe5ryPZFk/CDS1B+1BKK6Clx8nzblSU6jUBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T22:35:04.596657Z","bundle_sha256":"7abfa0f803ad0d3325de49405c0ce46fc1a451f4dd0836262a0a3065b0ea8f57"}}