{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IOUABDT5F42IZILZQG4PHZS3RI","short_pith_number":"pith:IOUABDT5","canonical_record":{"source":{"id":"1403.4486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T14:51:10Z","cross_cats_sorted":[],"title_canon_sha256":"6579eecaac94864ffe0ad4d51efdbeb8d3f4e0133613dbce00a65396ce881865","abstract_canon_sha256":"c3fb19e0833d7f9d912bb4d21f504731ea9fab2585cf89c3412750a4c695468e"},"schema_version":"1.0"},"canonical_sha256":"43a8008e7d2f348ca17981b8f3e65b8a1c94550c98c6461abe4b0cd2387828f7","source":{"kind":"arxiv","id":"1403.4486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4486","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4486v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4486","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"IOUABDT5F42I","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IOUABDT5F42IZILZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IOUABDT5","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IOUABDT5F42IZILZQG4PHZS3RI","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T14:51:10Z","cross_cats_sorted":[],"title_canon_sha256":"6579eecaac94864ffe0ad4d51efdbeb8d3f4e0133613dbce00a65396ce881865","abstract_canon_sha256":"c3fb19e0833d7f9d912bb4d21f504731ea9fab2585cf89c3412750a4c695468e"},"schema_version":"1.0"},"canonical_sha256":"43a8008e7d2f348ca17981b8f3e65b8a1c94550c98c6461abe4b0cd2387828f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:05.665934Z","signature_b64":"/0W46+BmPE5VZzph2U20u9BipuZFFYDfj5FANvrhd4Gxp60oGojwv7XrD07Y0Fjww3WIYRhy8w7gQ2C1ptpoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43a8008e7d2f348ca17981b8f3e65b8a1c94550c98c6461abe4b0cd2387828f7","last_reissued_at":"2026-05-18T02:56:05.665501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:05.665501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4486","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":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HAg9UR7AqbI+A2nl89oDepsv0hMxjGEe6ELh7BEnhP+POEswTJLacDxrxjuOlrvzmXAe/0aqSiEpxULPwelNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:28:39.935733Z"},"content_sha256":"0aca3ffa9470bc9c17bbe20d807b814dbf016f01c59f967c3c6fb958280e80ad","schema_version":"1.0","event_id":"sha256:0aca3ffa9470bc9c17bbe20d807b814dbf016f01c59f967c3c6fb958280e80ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IOUABDT5F42IZILZQG4PHZS3RI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local polynomials and the Montel Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"J. M. Almira, L. Sz\\'ekelyhidi","submitted_at":"2014-03-18T14:51:10Z","abstract_excerpt":"In this paper local polynomials on Abelian groups are characterized by a \"local\" Fr\\'echet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain Montel-type theorems on commutative groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4486","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":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"whljQfAQVZmIO/GUmjfdEzkcguv8CPrAnZ3UeNHMRSK7TNASyjz152oR7qoZqA/mD9nQAe822N0jxXbFPfBjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:28:39.936083Z"},"content_sha256":"b59a68c71f0135a5c32dfdd35a576571ca3eb7a179756bbc95e89bffbb4a05c7","schema_version":"1.0","event_id":"sha256:b59a68c71f0135a5c32dfdd35a576571ca3eb7a179756bbc95e89bffbb4a05c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOUABDT5F42IZILZQG4PHZS3RI/bundle.json","state_url":"https://pith.science/pith/IOUABDT5F42IZILZQG4PHZS3RI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOUABDT5F42IZILZQG4PHZS3RI/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":"2026-06-03T07:28:39Z","links":{"resolver":"https://pith.science/pith/IOUABDT5F42IZILZQG4PHZS3RI","bundle":"https://pith.science/pith/IOUABDT5F42IZILZQG4PHZS3RI/bundle.json","state":"https://pith.science/pith/IOUABDT5F42IZILZQG4PHZS3RI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOUABDT5F42IZILZQG4PHZS3RI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IOUABDT5F42IZILZQG4PHZS3RI","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":"c3fb19e0833d7f9d912bb4d21f504731ea9fab2585cf89c3412750a4c695468e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T14:51:10Z","title_canon_sha256":"6579eecaac94864ffe0ad4d51efdbeb8d3f4e0133613dbce00a65396ce881865"},"schema_version":"1.0","source":{"id":"1403.4486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4486","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4486v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4486","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"IOUABDT5F42I","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IOUABDT5F42IZILZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IOUABDT5","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:b59a68c71f0135a5c32dfdd35a576571ca3eb7a179756bbc95e89bffbb4a05c7","target":"graph","created_at":"2026-05-18T02:56:05Z","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":"In this paper local polynomials on Abelian groups are characterized by a \"local\" Fr\\'echet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain Montel-type theorems on commutative groups.","authors_text":"J. M. Almira, L. Sz\\'ekelyhidi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T14:51:10Z","title":"Local polynomials and the Montel Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4486","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":"sha256:0aca3ffa9470bc9c17bbe20d807b814dbf016f01c59f967c3c6fb958280e80ad","target":"record","created_at":"2026-05-18T02:56:05Z","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":"c3fb19e0833d7f9d912bb4d21f504731ea9fab2585cf89c3412750a4c695468e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T14:51:10Z","title_canon_sha256":"6579eecaac94864ffe0ad4d51efdbeb8d3f4e0133613dbce00a65396ce881865"},"schema_version":"1.0","source":{"id":"1403.4486","kind":"arxiv","version":1}},"canonical_sha256":"43a8008e7d2f348ca17981b8f3e65b8a1c94550c98c6461abe4b0cd2387828f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43a8008e7d2f348ca17981b8f3e65b8a1c94550c98c6461abe4b0cd2387828f7","first_computed_at":"2026-05-18T02:56:05.665501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.665501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/0W46+BmPE5VZzph2U20u9BipuZFFYDfj5FANvrhd4Gxp60oGojwv7XrD07Y0Fjww3WIYRhy8w7gQ2C1ptpoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.665934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0aca3ffa9470bc9c17bbe20d807b814dbf016f01c59f967c3c6fb958280e80ad","sha256:b59a68c71f0135a5c32dfdd35a576571ca3eb7a179756bbc95e89bffbb4a05c7"],"state_sha256":"6f08961e3b9286968fefab0006e3beabe8ffaa3d74212d32b7b987733d101d95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EHVEF6Oonimy7WeYvkFB9lBQrTcDEz333gMshoLCxlRL01/5iZGi6sNWxeLC0n/5xwg+STHsJpc5B7T9iZSCDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:28:39.938088Z","bundle_sha256":"8c83b75b3a8d94fffb2b4451f151d7093df1922e3adda3d251a85632319fad9c"}}