Pith Number

pith:UYO4IJ3Q

pith:2016:UYO4IJ3QER3UTQ6FHEANS4ILMY

not attested not anchored not stored refs pending

Some identities of Chebyshev polynomials arising from nonlinear differential equations

Dae San Kim, Dmitry V. Dolgy, Jong-Jin Seo, Taekyun Kim

arxiv:1602.05343 v1 · 2016-02-17 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYO4IJ3QER3UTQ6FHEANS4ILMY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:20:28.510476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61dc42770247749c3c53900d9710b661d229e56d5d31beff535d30051840b35

Aliases

arxiv: 1602.05343 · arxiv_version: 1602.05343v1 · doi: 10.48550/arxiv.1602.05343 · pith_short_12: UYO4IJ3QER3U · pith_short_16: UYO4IJ3QER3UTQ6F · pith_short_8: UYO4IJ3Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UYO4IJ3QER3UTQ6FHEANS4ILMY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a61dc42770247749c3c53900d9710b661d229e56d5d31beff535d30051840b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43eb89dec7f81dd6b6ca708457bed93f22851af51eeca28103cf1a37176dec28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-17T09:19:54Z",
    "title_canon_sha256": "162e9bfd2b586be720cf592dd179ff7d5de28f569a31cb4d9b0041f9ed45727f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05343",
    "kind": "arxiv",
    "version": 1
  }
}