Pith Number

pith:ES2KWNQ2

pith:2015:ES2KWNQ2MVUPCP2JIXZELGSVND

not attested not anchored not stored refs pending

Generating functions of Chebyshev polynomials in three variables

M.A. Sokolov

arxiv:1502.08027 v1 · 2015-02-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ES2KWNQ2MVUPCP2JIXZELGSVND}

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	2026-05-18T02:26:01.554271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b4ab361a6568f13f4945f2459a5568caa93c50ced128bd9fa51f3a65228045

Aliases

arxiv: 1502.08027 · arxiv_version: 1502.08027v1 · doi: 10.48550/arxiv.1502.08027 · pith_short_12: ES2KWNQ2MVUP · pith_short_16: ES2KWNQ2MVUPCP2J · pith_short_8: ES2KWNQ2

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/ES2KWNQ2MVUPCP2JIXZELGSVND \
  | 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: 24b4ab361a6568f13f4945f2459a5568caa93c50ced128bd9fa51f3a65228045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3df235edff6701f95a7c0f64ebeebe0c98131c3519414d669d8ad474c03720",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-27T19:27:27Z",
    "title_canon_sha256": "a6168cc81ae55fa4a56d028d8e0eedccf737704a0331b74afb131f21aabd3d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.08027",
    "kind": "arxiv",
    "version": 1
  }
}