{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WIW634NWVCNXDF6E2D75K5AHU4","short_pith_number":"pith:WIW634NW","canonical_record":{"source":{"id":"1602.04096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-12T16:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"ae83144f74d401c4be130a9a1084365f0d8dc7a2427afb83eab965a30407c435","abstract_canon_sha256":"a3b3294252f2f1ad6c15631dacd3d25484ddf4c0f9715ca4be4492833e68177a"},"schema_version":"1.0"},"canonical_sha256":"b22dedf1b6a89b7197c4d0ffd57407a72333814ccd365d649fc5dd34231ab5a3","source":{"kind":"arxiv","id":"1602.04096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04096","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04096v1","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04096","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"pith_short_12","alias_value":"WIW634NWVCNX","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WIW634NWVCNXDF6E","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WIW634NW","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WIW634NWVCNXDF6E2D75K5AHU4","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-12T16:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"ae83144f74d401c4be130a9a1084365f0d8dc7a2427afb83eab965a30407c435","abstract_canon_sha256":"a3b3294252f2f1ad6c15631dacd3d25484ddf4c0f9715ca4be4492833e68177a"},"schema_version":"1.0"},"canonical_sha256":"b22dedf1b6a89b7197c4d0ffd57407a72333814ccd365d649fc5dd34231ab5a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:30.762841Z","signature_b64":"HVPqYRG/rDHcRh/O5IA21JRqsW7/9eZnUEaIc7BKp2PNxiud77dHhLMgf2xYSg996YGhvvBeoTKvcQd9lqy0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b22dedf1b6a89b7197c4d0ffd57407a72333814ccd365d649fc5dd34231ab5a3","last_reissued_at":"2026-05-18T01:03:30.762250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:30.762250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04096","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":"2026-05-18T01:03:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLfZ5Z4uQqUS/zh8HVNna22ju9aULNoukKs6H6MfeLifJ3pxO36YL3XnGyhVSN+yRNXv4/4oJCekJVaEmf/TCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:55:32.228158Z"},"content_sha256":"15f449f12de439a433c29f71d32ece1e3801e887c9b5abf7c48733f36c263705","schema_version":"1.0","event_id":"sha256:15f449f12de439a433c29f71d32ece1e3801e887c9b5abf7c48733f36c263705"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WIW634NWVCNXDF6E2D75K5AHU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dae San Kim, Taekyun Kim","submitted_at":"2016-02-12T16:06:06Z","abstract_excerpt":"In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04096","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":"2026-05-18T01:03:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bdFBMOD4g3yT4UsQVMqfOYEOKIobWRyjNmhns2xB50We8ouKqjzA1ndJ0kXo6CldkwRifxKilZNuGaMaSbtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:55:32.228548Z"},"content_sha256":"9eaa950e075e6f4b95dbb747b987abad91d277839fb71d6aadc30374769aa662","schema_version":"1.0","event_id":"sha256:9eaa950e075e6f4b95dbb747b987abad91d277839fb71d6aadc30374769aa662"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WIW634NWVCNXDF6E2D75K5AHU4/bundle.json","state_url":"https://pith.science/pith/WIW634NWVCNXDF6E2D75K5AHU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WIW634NWVCNXDF6E2D75K5AHU4/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":"2026-06-06T20:55:32Z","links":{"resolver":"https://pith.science/pith/WIW634NWVCNXDF6E2D75K5AHU4","bundle":"https://pith.science/pith/WIW634NWVCNXDF6E2D75K5AHU4/bundle.json","state":"https://pith.science/pith/WIW634NWVCNXDF6E2D75K5AHU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WIW634NWVCNXDF6E2D75K5AHU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WIW634NWVCNXDF6E2D75K5AHU4","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":"a3b3294252f2f1ad6c15631dacd3d25484ddf4c0f9715ca4be4492833e68177a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-12T16:06:06Z","title_canon_sha256":"ae83144f74d401c4be130a9a1084365f0d8dc7a2427afb83eab965a30407c435"},"schema_version":"1.0","source":{"id":"1602.04096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04096","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04096v1","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04096","created_at":"2026-05-18T01:03:30Z"},{"alias_kind":"pith_short_12","alias_value":"WIW634NWVCNX","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WIW634NWVCNXDF6E","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WIW634NW","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:9eaa950e075e6f4b95dbb747b987abad91d277839fb71d6aadc30374769aa662","target":"graph","created_at":"2026-05-18T01:03:30Z","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, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials.","authors_text":"Dae San Kim, Taekyun Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-12T16:06:06Z","title":"A note on Hermite polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04096","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":"sha256:15f449f12de439a433c29f71d32ece1e3801e887c9b5abf7c48733f36c263705","target":"record","created_at":"2026-05-18T01:03:30Z","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":"a3b3294252f2f1ad6c15631dacd3d25484ddf4c0f9715ca4be4492833e68177a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-12T16:06:06Z","title_canon_sha256":"ae83144f74d401c4be130a9a1084365f0d8dc7a2427afb83eab965a30407c435"},"schema_version":"1.0","source":{"id":"1602.04096","kind":"arxiv","version":1}},"canonical_sha256":"b22dedf1b6a89b7197c4d0ffd57407a72333814ccd365d649fc5dd34231ab5a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b22dedf1b6a89b7197c4d0ffd57407a72333814ccd365d649fc5dd34231ab5a3","first_computed_at":"2026-05-18T01:03:30.762250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:30.762250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HVPqYRG/rDHcRh/O5IA21JRqsW7/9eZnUEaIc7BKp2PNxiud77dHhLMgf2xYSg996YGhvvBeoTKvcQd9lqy0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:30.762841Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15f449f12de439a433c29f71d32ece1e3801e887c9b5abf7c48733f36c263705","sha256:9eaa950e075e6f4b95dbb747b987abad91d277839fb71d6aadc30374769aa662"],"state_sha256":"41d03d717929a79e85f1bd28532a627ae067f0820b43ddf81ab8ac11f728b198"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSa993HcYHrr04IJXVV1d2MfERAax1X/uQBS/QK/4Of6geNPuEeJzMiooCya1yFjMdR0M0kX4mjfWAPb0kDjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:55:32.231516Z","bundle_sha256":"ddd970fe5c118c3fd9d6c85c9aaae17feeaebe01a2ae947972c7176a8dfe21b2"}}