Pith Number

pith:QVUIYUX4

pith:2016:QVUIYUX46RFLPD3YRBIKJVD5MG

not attested not anchored not stored refs pending

The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$

E.V. Damaskinsky, M.A. Sokolov

arxiv:1610.04155 v1 · 2016-10-13 · 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{QVUIYUX46RFLPD3YRBIKJVD5MG}

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	2026-05-18T00:34:52.588823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85688c52fcf44ab78f788850a4d47d61a0cd0bc441fcb0e7776312a4c6811eae

Aliases

arxiv: 1610.04155 · arxiv_version: 1610.04155v1 · doi: 10.48550/arxiv.1610.04155 · pith_short_12: QVUIYUX46RFL · pith_short_16: QVUIYUX46RFLPD3Y · pith_short_8: QVUIYUX4

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/QVUIYUX46RFLPD3YRBIKJVD5MG \
  | 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: 85688c52fcf44ab78f788850a4d47d61a0cd0bc441fcb0e7776312a4c6811eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef10dcac85b810a27d159c5696400eb43e8ed724cd0a7e5ee506d788134e38d3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-13T16:20:05Z",
    "title_canon_sha256": "5c6b27b7b0723e771d8987105da3c630bc9b646394b1a7e99bad523e94a4dd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04155",
    "kind": "arxiv",
    "version": 1
  }
}