{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TNOFEFOOAIJIF6CF2PE74MXEY3","short_pith_number":"pith:TNOFEFOO","canonical_record":{"source":{"id":"1509.02415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-09-08T15:30:36Z","cross_cats_sorted":[],"title_canon_sha256":"b1825086051f9a7384f61c303d8579ebf3534c64e0282d8698877fdccefe1fcc","abstract_canon_sha256":"c6ba727aa73442bb66453d0439246c6418d009a699db8877b9d4e60f483b8103"},"schema_version":"1.0"},"canonical_sha256":"9b5c5215ce021282f845d3c9fe32e4c6d841d38fdefb2d65db6faa8857c6abdb","source":{"kind":"arxiv","id":"1509.02415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02415","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02415v1","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02415","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"TNOFEFOOAIJI","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TNOFEFOOAIJIF6CF","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TNOFEFOO","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TNOFEFOOAIJIF6CF2PE74MXEY3","target":"record","payload":{"canonical_record":{"source":{"id":"1509.02415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-09-08T15:30:36Z","cross_cats_sorted":[],"title_canon_sha256":"b1825086051f9a7384f61c303d8579ebf3534c64e0282d8698877fdccefe1fcc","abstract_canon_sha256":"c6ba727aa73442bb66453d0439246c6418d009a699db8877b9d4e60f483b8103"},"schema_version":"1.0"},"canonical_sha256":"9b5c5215ce021282f845d3c9fe32e4c6d841d38fdefb2d65db6faa8857c6abdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:40.962196Z","signature_b64":"TD4fF81N/Sy5+Upmv5Re+ocnozo5GoXfF+Q5Q/9P0Oq6Vv9MdUt6Mxf7D62TIR57UHcPseMf9FkL8kOLSnmIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b5c5215ce021282f845d3c9fe32e4c6d841d38fdefb2d65db6faa8857c6abdb","last_reissued_at":"2026-05-18T01:33:40.961573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:40.961573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.02415","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":"2026-05-18T01:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k8/5QMXGhKSm83PumG4OXVycRPBNovW3R/Ys/gC+iV1bwqI/QUpz2WaLL0+TV92Y4GhcnPQOUs2o6+rPnKzUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:14:35.625708Z"},"content_sha256":"ff287fa294e67011070e16c34a682a0c04000370a4683189d6a1ef1255b57c75","schema_version":"1.0","event_id":"sha256:ff287fa294e67011070e16c34a682a0c04000370a4683189d6a1ef1255b57c75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TNOFEFOOAIJIF6CF2PE74MXEY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Intermediate Value Theorem over a Valued Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Carla Massaza, Lea Terracini, Paolo Valabrega","submitted_at":"2015-09-08T15:30:36Z","abstract_excerpt":"The paper proves the intermediate value theorem for polynomials and power series over a valued field with divisible valuation group and infinite residue field. Some further results on the behaviour of the valuation are obtained using Hensel's Lemma."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02415","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":""},"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":"2026-05-18T01:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TlbIi3HqT7AnbxyMySjhx5G0pgsILDrB14XSAFPy/Yc4RaDVVpBr7wh/9sjzBN1q7JhwIcHmkzm7NqJvEbZ4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:14:35.626051Z"},"content_sha256":"64be21251277a131003d5126bb0aeeb80a34ae6c2107f4e55e47ed3b27676b04","schema_version":"1.0","event_id":"sha256:64be21251277a131003d5126bb0aeeb80a34ae6c2107f4e55e47ed3b27676b04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/bundle.json","state_url":"https://pith.science/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/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":"2026-06-20T23:14:35Z","links":{"resolver":"https://pith.science/pith/TNOFEFOOAIJIF6CF2PE74MXEY3","bundle":"https://pith.science/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/bundle.json","state":"https://pith.science/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TNOFEFOOAIJIF6CF2PE74MXEY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TNOFEFOOAIJIF6CF2PE74MXEY3","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":"c6ba727aa73442bb66453d0439246c6418d009a699db8877b9d4e60f483b8103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-09-08T15:30:36Z","title_canon_sha256":"b1825086051f9a7384f61c303d8579ebf3534c64e0282d8698877fdccefe1fcc"},"schema_version":"1.0","source":{"id":"1509.02415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02415","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02415v1","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02415","created_at":"2026-05-18T01:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"TNOFEFOOAIJI","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TNOFEFOOAIJIF6CF","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TNOFEFOO","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:64be21251277a131003d5126bb0aeeb80a34ae6c2107f4e55e47ed3b27676b04","target":"graph","created_at":"2026-05-18T01:33:40Z","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":"The paper proves the intermediate value theorem for polynomials and power series over a valued field with divisible valuation group and infinite residue field. Some further results on the behaviour of the valuation are obtained using Hensel's Lemma.","authors_text":"Carla Massaza, Lea Terracini, Paolo Valabrega","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-09-08T15:30:36Z","title":"On the Intermediate Value Theorem over a Valued Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02415","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:ff287fa294e67011070e16c34a682a0c04000370a4683189d6a1ef1255b57c75","target":"record","created_at":"2026-05-18T01:33:40Z","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":"c6ba727aa73442bb66453d0439246c6418d009a699db8877b9d4e60f483b8103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-09-08T15:30:36Z","title_canon_sha256":"b1825086051f9a7384f61c303d8579ebf3534c64e0282d8698877fdccefe1fcc"},"schema_version":"1.0","source":{"id":"1509.02415","kind":"arxiv","version":1}},"canonical_sha256":"9b5c5215ce021282f845d3c9fe32e4c6d841d38fdefb2d65db6faa8857c6abdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b5c5215ce021282f845d3c9fe32e4c6d841d38fdefb2d65db6faa8857c6abdb","first_computed_at":"2026-05-18T01:33:40.961573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:40.961573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TD4fF81N/Sy5+Upmv5Re+ocnozo5GoXfF+Q5Q/9P0Oq6Vv9MdUt6Mxf7D62TIR57UHcPseMf9FkL8kOLSnmIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:40.962196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff287fa294e67011070e16c34a682a0c04000370a4683189d6a1ef1255b57c75","sha256:64be21251277a131003d5126bb0aeeb80a34ae6c2107f4e55e47ed3b27676b04"],"state_sha256":"195871901da0c1a1ce3e2a55fded00d5d1d5791466c3adb19b26b349a94f670b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yHMyDqk5kbDd+CyR9375pq5BcdhzRWkz+q083wgyWEuSdozf9g93SSPbef6adG5OZJQEeRvtl9+1Mni17LbqDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:14:35.627929Z","bundle_sha256":"8241b11ef70cf4b245d76345e52236288441cda4d58e8afb525b54aba5a87532"}}