{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:I7RK5YJ4OUR7AYDRQFFETKYAS7","short_pith_number":"pith:I7RK5YJ4","canonical_record":{"source":{"id":"1612.02727","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-08T16:57:31Z","cross_cats_sorted":["math.HO"],"title_canon_sha256":"66061e9c6b8f0d792997cd50b38198fe43a02e8fa2191d3a0d0db5ef95c739d4","abstract_canon_sha256":"73af55d021b5bd744d006eee96fbd058e69014deaa2bd8698ac5b76e38d9b216"},"schema_version":"1.0"},"canonical_sha256":"47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59","source":{"kind":"arxiv","id":"1612.02727","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02727","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02727v2","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02727","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"I7RK5YJ4OUR7","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I7RK5YJ4OUR7AYDR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I7RK5YJ4","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:I7RK5YJ4OUR7AYDRQFFETKYAS7","target":"record","payload":{"canonical_record":{"source":{"id":"1612.02727","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-08T16:57:31Z","cross_cats_sorted":["math.HO"],"title_canon_sha256":"66061e9c6b8f0d792997cd50b38198fe43a02e8fa2191d3a0d0db5ef95c739d4","abstract_canon_sha256":"73af55d021b5bd744d006eee96fbd058e69014deaa2bd8698ac5b76e38d9b216"},"schema_version":"1.0"},"canonical_sha256":"47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:39.821866Z","signature_b64":"C/SrwszjeyVBlOrh8/e8pKiae0yqeJ1wqmwSpi3AZX7t/PJkKnEPba/HtpYowN9xcao4kh0UOJyJPzoisbEYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59","last_reissued_at":"2026-05-18T00:38:39.821506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:39.821506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.02727","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":"2026-05-18T00:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DXvWqNnMmQ+FRdLzb/3Uxnif+pMaWF/g9KYyu2YFPWPjfMgapXPvzcb3lfEIqIE8LbMc3USQywBQguvkmfpXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:17:57.340356Z"},"content_sha256":"423619fb63f172495013ed8d9f46cbd63e9a3e85fbb829b1bf25ea56e06560be","schema_version":"1.0","event_id":"sha256:423619fb63f172495013ed8d9f46cbd63e9a3e85fbb829b1bf25ea56e06560be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:I7RK5YJ4OUR7AYDRQFFETKYAS7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental theorem of Algebra - A Nevanlinna theoretic proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.HO"],"primary_cat":"math.CV","authors_text":"Bikash Chakraborty","submitted_at":"2016-12-08T16:57:31Z","abstract_excerpt":"There are several proofs of the Fundamental Theorem of Algebra, mainly using algebra, analysis and topology. In this article, we have shown that the Fundamental Theorem of Algebra can be proved using Nevanlinna's first fundamental theorem as well as second fundamental theorem also."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02727","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":"2026-05-18T00:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"waak9vE8E5B51ObiCMbWVYSEpdJbbHVgn1f4tlmTy4DVS6ExRtJLehue7KeQrBUgwNhQhcWIAZKn3bYznI6SDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:17:57.340705Z"},"content_sha256":"582de8ca8d514aefb5275f3c539f1287f09f121db95e737c025a50fd23e58365","schema_version":"1.0","event_id":"sha256:582de8ca8d514aefb5275f3c539f1287f09f121db95e737c025a50fd23e58365"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/bundle.json","state_url":"https://pith.science/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/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":"2026-06-23T19:17:57Z","links":{"resolver":"https://pith.science/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7","bundle":"https://pith.science/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/bundle.json","state":"https://pith.science/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7RK5YJ4OUR7AYDRQFFETKYAS7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I7RK5YJ4OUR7AYDRQFFETKYAS7","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":"73af55d021b5bd744d006eee96fbd058e69014deaa2bd8698ac5b76e38d9b216","cross_cats_sorted":["math.HO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-08T16:57:31Z","title_canon_sha256":"66061e9c6b8f0d792997cd50b38198fe43a02e8fa2191d3a0d0db5ef95c739d4"},"schema_version":"1.0","source":{"id":"1612.02727","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02727","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02727v2","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02727","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"I7RK5YJ4OUR7","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I7RK5YJ4OUR7AYDR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I7RK5YJ4","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:582de8ca8d514aefb5275f3c539f1287f09f121db95e737c025a50fd23e58365","target":"graph","created_at":"2026-05-18T00:38:39Z","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":"There are several proofs of the Fundamental Theorem of Algebra, mainly using algebra, analysis and topology. In this article, we have shown that the Fundamental Theorem of Algebra can be proved using Nevanlinna's first fundamental theorem as well as second fundamental theorem also.","authors_text":"Bikash Chakraborty","cross_cats":["math.HO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-08T16:57:31Z","title":"Fundamental theorem of Algebra - A Nevanlinna theoretic proof"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02727","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":"sha256:423619fb63f172495013ed8d9f46cbd63e9a3e85fbb829b1bf25ea56e06560be","target":"record","created_at":"2026-05-18T00:38:39Z","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":"73af55d021b5bd744d006eee96fbd058e69014deaa2bd8698ac5b76e38d9b216","cross_cats_sorted":["math.HO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-08T16:57:31Z","title_canon_sha256":"66061e9c6b8f0d792997cd50b38198fe43a02e8fa2191d3a0d0db5ef95c739d4"},"schema_version":"1.0","source":{"id":"1612.02727","kind":"arxiv","version":2}},"canonical_sha256":"47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59","first_computed_at":"2026-05-18T00:38:39.821506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:39.821506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C/SrwszjeyVBlOrh8/e8pKiae0yqeJ1wqmwSpi3AZX7t/PJkKnEPba/HtpYowN9xcao4kh0UOJyJPzoisbEYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:39.821866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02727","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:423619fb63f172495013ed8d9f46cbd63e9a3e85fbb829b1bf25ea56e06560be","sha256:582de8ca8d514aefb5275f3c539f1287f09f121db95e737c025a50fd23e58365"],"state_sha256":"1db214507b96fdaff1862c07a24e40170eed1c640542b1dacb95dcdd71dd0794"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YwjS6/X+qvkUcgOa49ZtUUmHhAWZHY4+QXUJ4MCz7AKfHYC9jap/sTc5qUKPWFX/FkZoO7H0Jz/mMavvxUnsAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:17:57.342664Z","bundle_sha256":"cb64c80b9230d7cc3f5939d3d6839e0edeeac533b8d937d6dbd0a589d6314313"}}