{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:L32CS2YTTD2PQL4DGVWC4Q6HLA","short_pith_number":"pith:L32CS2YT","canonical_record":{"source":{"id":"0706.2880","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.HO","submitted_at":"2007-06-19T21:21:00Z","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"title_canon_sha256":"e512511b7f88b17da97b7258ae8120e5e5b10a3dffc18f6c0f3a24d23ea69770","abstract_canon_sha256":"22e3b059eea4692774a35db6f7c3c9d445df5e8dc6dfb0f932e12135f84ce47f"},"schema_version":"1.0"},"canonical_sha256":"5ef4296b1398f4f82f83356c2e43c75803e4a2bcf380f948fc2b3cea589c58cd","source":{"kind":"arxiv","id":"0706.2880","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2880","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2880v1","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2880","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_12","alias_value":"L32CS2YTTD2P","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_16","alias_value":"L32CS2YTTD2PQL4D","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_8","alias_value":"L32CS2YT","created_at":"2026-06-03T22:06:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:L32CS2YTTD2PQL4DGVWC4Q6HLA","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2880","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.HO","submitted_at":"2007-06-19T21:21:00Z","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"title_canon_sha256":"e512511b7f88b17da97b7258ae8120e5e5b10a3dffc18f6c0f3a24d23ea69770","abstract_canon_sha256":"22e3b059eea4692774a35db6f7c3c9d445df5e8dc6dfb0f932e12135f84ce47f"},"schema_version":"1.0"},"canonical_sha256":"5ef4296b1398f4f82f83356c2e43c75803e4a2bcf380f948fc2b3cea589c58cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T22:06:01.297858Z","signature_b64":"4qAJ9w0N8AqPWcy15KXFwHXbPIOrYPrnGCy8LXfvneyNzy5yrAszX3NSo4a4S52SdzKJprnrflUd0J3ueFFBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ef4296b1398f4f82f83356c2e43c75803e4a2bcf380f948fc2b3cea589c58cd","last_reissued_at":"2026-06-03T22:06:01.297361Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T22:06:01.297361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2880","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":"2026-06-03T22:06:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qK/wfQMTejQ0L1vx8j0TCKc7EpWs5aLqdOulqwvPU94SRC44YCcIlymCd5UUnZY6ioPrTf9felcHN+djkS7oDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:49:28.619457Z"},"content_sha256":"0304e0cac7fded1e2b0197eabc4f3ca6eb9b49aef507437e439ddc2ec76ecf6f","schema_version":"1.0","event_id":"sha256:0304e0cac7fded1e2b0197eabc4f3ca6eb9b49aef507437e439ddc2ec76ecf6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:L32CS2YTTD2PQL4DGVWC4Q6HLA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general method for investigating the roots of all equations by approximation","license":"","headline":"","cross_cats":["cs.NA","math.CA","math.NA"],"primary_cat":"math.HO","authors_text":"Leonhard Euler","submitted_at":"2007-06-19T21:21:00Z","abstract_excerpt":"Translation of the Latin original, \"Methodus generalis investigandi radices omnium aequationum per approximationem\" (1776). E643 in the Enestrom index. Euler gives a series to find powers of roots of polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2880","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/0706.2880/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":"2026-06-03T22:06:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTZym+qgpX41YRM/98seHSazfUlerYjjL5npKqnZrzbij5hDa/SSO0j/BSbXT/I3WVLEs1xpFL/cdfLCZur2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:49:28.620183Z"},"content_sha256":"4fa8baa862440981cccbc0d973b729f8d4b8fac4599a722b3ec466b90dade9b9","schema_version":"1.0","event_id":"sha256:4fa8baa862440981cccbc0d973b729f8d4b8fac4599a722b3ec466b90dade9b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/bundle.json","state_url":"https://pith.science/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/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":"2026-06-11T07:49:28Z","links":{"resolver":"https://pith.science/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA","bundle":"https://pith.science/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/bundle.json","state":"https://pith.science/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L32CS2YTTD2PQL4DGVWC4Q6HLA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:L32CS2YTTD2PQL4DGVWC4Q6HLA","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":"22e3b059eea4692774a35db6f7c3c9d445df5e8dc6dfb0f932e12135f84ce47f","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"license":"","primary_cat":"math.HO","submitted_at":"2007-06-19T21:21:00Z","title_canon_sha256":"e512511b7f88b17da97b7258ae8120e5e5b10a3dffc18f6c0f3a24d23ea69770"},"schema_version":"1.0","source":{"id":"0706.2880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2880","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2880v1","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2880","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_12","alias_value":"L32CS2YTTD2P","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_16","alias_value":"L32CS2YTTD2PQL4D","created_at":"2026-06-03T22:06:01Z"},{"alias_kind":"pith_short_8","alias_value":"L32CS2YT","created_at":"2026-06-03T22:06:01Z"}],"graph_snapshots":[{"event_id":"sha256:4fa8baa862440981cccbc0d973b729f8d4b8fac4599a722b3ec466b90dade9b9","target":"graph","created_at":"2026-06-03T22:06:01Z","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/0706.2880/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Translation of the Latin original, \"Methodus generalis investigandi radices omnium aequationum per approximationem\" (1776). E643 in the Enestrom index. Euler gives a series to find powers of roots of polynomials.","authors_text":"Leonhard Euler","cross_cats":["cs.NA","math.CA","math.NA"],"headline":"","license":"","primary_cat":"math.HO","submitted_at":"2007-06-19T21:21:00Z","title":"A general method for investigating the roots of all equations by approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2880","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":"sha256:0304e0cac7fded1e2b0197eabc4f3ca6eb9b49aef507437e439ddc2ec76ecf6f","target":"record","created_at":"2026-06-03T22:06:01Z","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":"22e3b059eea4692774a35db6f7c3c9d445df5e8dc6dfb0f932e12135f84ce47f","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"license":"","primary_cat":"math.HO","submitted_at":"2007-06-19T21:21:00Z","title_canon_sha256":"e512511b7f88b17da97b7258ae8120e5e5b10a3dffc18f6c0f3a24d23ea69770"},"schema_version":"1.0","source":{"id":"0706.2880","kind":"arxiv","version":1}},"canonical_sha256":"5ef4296b1398f4f82f83356c2e43c75803e4a2bcf380f948fc2b3cea589c58cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ef4296b1398f4f82f83356c2e43c75803e4a2bcf380f948fc2b3cea589c58cd","first_computed_at":"2026-06-03T22:06:01.297361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T22:06:01.297361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4qAJ9w0N8AqPWcy15KXFwHXbPIOrYPrnGCy8LXfvneyNzy5yrAszX3NSo4a4S52SdzKJprnrflUd0J3ueFFBBg==","signature_status":"signed_v1","signed_at":"2026-06-03T22:06:01.297858Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0304e0cac7fded1e2b0197eabc4f3ca6eb9b49aef507437e439ddc2ec76ecf6f","sha256:4fa8baa862440981cccbc0d973b729f8d4b8fac4599a722b3ec466b90dade9b9"],"state_sha256":"043c71f70e5b1eb4e5053624016cb06ee2924028b11d9f21aa1eaf159c1a2646"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G3VxNtKB/NYwrlx42GWEFg7/yINtUzSi0N8OezT8VfVB+UWZFJX7JLAmLfXaY8eLzt9CLENYtxd5+neO1tXaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:49:28.624254Z","bundle_sha256":"9b4e5928f45d904c877181afb64ac81e3bacb5256344b6635c9eeba34645a78b"}}