{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:7LYA5LYRF57NN5BO42QHBLIGL4","short_pith_number":"pith:7LYA5LYR","canonical_record":{"source":{"id":"0710.2800","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-10-15T13:19:29Z","cross_cats_sorted":[],"title_canon_sha256":"8c7118144718d8a12c217eda82a99c9d73c30b9d5bf6d164d6450e412882993a","abstract_canon_sha256":"e95bc81f8436452203d4466f67e8736fcaf283f260b7333d66624943f1810fc8"},"schema_version":"1.0"},"canonical_sha256":"faf00eaf112f7ed6f42ee6a070ad065f2d5d96763160f902b5846da5e64fc5c7","source":{"kind":"arxiv","id":"0710.2800","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.2800","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"arxiv_version","alias_value":"0710.2800v1","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.2800","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_12","alias_value":"7LYA5LYRF57N","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_16","alias_value":"7LYA5LYRF57NN5BO","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_8","alias_value":"7LYA5LYR","created_at":"2026-07-04T15:04:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:7LYA5LYRF57NN5BO42QHBLIGL4","target":"record","payload":{"canonical_record":{"source":{"id":"0710.2800","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-10-15T13:19:29Z","cross_cats_sorted":[],"title_canon_sha256":"8c7118144718d8a12c217eda82a99c9d73c30b9d5bf6d164d6450e412882993a","abstract_canon_sha256":"e95bc81f8436452203d4466f67e8736fcaf283f260b7333d66624943f1810fc8"},"schema_version":"1.0"},"canonical_sha256":"faf00eaf112f7ed6f42ee6a070ad065f2d5d96763160f902b5846da5e64fc5c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:04:56.740963Z","signature_b64":"PaU5FV8oOVA0173te2a1T1rQ3kW+WFaStwY9GLK7spXPnE6TjskZoXxQeI7PhbgS3jOUDvLijlM1csKB9e3QCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faf00eaf112f7ed6f42ee6a070ad065f2d5d96763160f902b5846da5e64fc5c7","last_reissued_at":"2026-07-04T15:04:56.740567Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:04:56.740567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.2800","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":"2026-07-04T15:04:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPWgJqh4dwqEZTux8e49zB6M5pwCsYSpRqz64KZcm47nBjknwXNfXVQrNSREdoc5oQOdTXnGCSSDeAMTjbMJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:06:32.172418Z"},"content_sha256":"751c9f6d848063e6c76aae7abb2a56a5588373ee10c1b480bf41de2adf885fe4","schema_version":"1.0","event_id":"sha256:751c9f6d848063e6c76aae7abb2a56a5588373ee10c1b480bf41de2adf885fe4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:7LYA5LYRF57NN5BO42QHBLIGL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A weight two phenomenon for the moduli of rank one local systems on open varieties","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Carlos T. Simpson (JAD)","submitted_at":"2007-10-15T13:19:29Z","abstract_excerpt":"The twistor space of representations on an open variety maps to a weight two space of local monodromy transformations around a divisor component at infinty. The space of $\\sigma$-invariant sections of this slope-two bundle over the twistor line is a real 3 dimensional space whose parameters correspond to the complex residue of the Higgs field, and the real parabolic weight of a harmonic bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.2800","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/0710.2800/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":"2026-07-04T15:04:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwJNaaXuh46Cophbp+A/+WcTqJntMZ49LgHgxBtRz1c+ZuSfozCHylincTiAwAv/OrP2Z2fQDHfbQr1ygJljAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:06:32.172752Z"},"content_sha256":"9434fccd5957f3ce47bf6da30a401f98d9019db040276088e5e2da0e34d7e314","schema_version":"1.0","event_id":"sha256:9434fccd5957f3ce47bf6da30a401f98d9019db040276088e5e2da0e34d7e314"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LYA5LYRF57NN5BO42QHBLIGL4/bundle.json","state_url":"https://pith.science/pith/7LYA5LYRF57NN5BO42QHBLIGL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LYA5LYRF57NN5BO42QHBLIGL4/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":"2026-08-21T11:06:32Z","links":{"resolver":"https://pith.science/pith/7LYA5LYRF57NN5BO42QHBLIGL4","bundle":"https://pith.science/pith/7LYA5LYRF57NN5BO42QHBLIGL4/bundle.json","state":"https://pith.science/pith/7LYA5LYRF57NN5BO42QHBLIGL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LYA5LYRF57NN5BO42QHBLIGL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7LYA5LYRF57NN5BO42QHBLIGL4","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":"e95bc81f8436452203d4466f67e8736fcaf283f260b7333d66624943f1810fc8","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-10-15T13:19:29Z","title_canon_sha256":"8c7118144718d8a12c217eda82a99c9d73c30b9d5bf6d164d6450e412882993a"},"schema_version":"1.0","source":{"id":"0710.2800","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.2800","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"arxiv_version","alias_value":"0710.2800v1","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.2800","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_12","alias_value":"7LYA5LYRF57N","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_16","alias_value":"7LYA5LYRF57NN5BO","created_at":"2026-07-04T15:04:56Z"},{"alias_kind":"pith_short_8","alias_value":"7LYA5LYR","created_at":"2026-07-04T15:04:56Z"}],"graph_snapshots":[{"event_id":"sha256:9434fccd5957f3ce47bf6da30a401f98d9019db040276088e5e2da0e34d7e314","target":"graph","created_at":"2026-07-04T15:04:56Z","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/0710.2800/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The twistor space of representations on an open variety maps to a weight two space of local monodromy transformations around a divisor component at infinty. The space of $\\sigma$-invariant sections of this slope-two bundle over the twistor line is a real 3 dimensional space whose parameters correspond to the complex residue of the Higgs field, and the real parabolic weight of a harmonic bundle.","authors_text":"Carlos T. Simpson (JAD)","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-10-15T13:19:29Z","title":"A weight two phenomenon for the moduli of rank one local systems on open varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.2800","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":"sha256:751c9f6d848063e6c76aae7abb2a56a5588373ee10c1b480bf41de2adf885fe4","target":"record","created_at":"2026-07-04T15:04:56Z","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":"e95bc81f8436452203d4466f67e8736fcaf283f260b7333d66624943f1810fc8","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-10-15T13:19:29Z","title_canon_sha256":"8c7118144718d8a12c217eda82a99c9d73c30b9d5bf6d164d6450e412882993a"},"schema_version":"1.0","source":{"id":"0710.2800","kind":"arxiv","version":1}},"canonical_sha256":"faf00eaf112f7ed6f42ee6a070ad065f2d5d96763160f902b5846da5e64fc5c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faf00eaf112f7ed6f42ee6a070ad065f2d5d96763160f902b5846da5e64fc5c7","first_computed_at":"2026-07-04T15:04:56.740567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:04:56.740567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PaU5FV8oOVA0173te2a1T1rQ3kW+WFaStwY9GLK7spXPnE6TjskZoXxQeI7PhbgS3jOUDvLijlM1csKB9e3QCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:04:56.740963Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.2800","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:751c9f6d848063e6c76aae7abb2a56a5588373ee10c1b480bf41de2adf885fe4","sha256:9434fccd5957f3ce47bf6da30a401f98d9019db040276088e5e2da0e34d7e314"],"state_sha256":"1b6ac89b59a03f984a0bdebd0bc65eadf1f00e5062ae1ceb9e325e5e2eac97e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lt7JyfBtwg27O8sm0MU2RYupVpS+ZnkY1IrkkaaAF1y9z1hR4HzEOnwn3aMbbdVBNQ/rEGJZq4Rahc1WvH4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T11:06:32.177326Z","bundle_sha256":"82249747aeb793b0418c5bf4f83ef1ac3850122cf00e7cbe46241183e0630531"}}