Pith Number

pith:UOXGGRPS

pith:2013:UOXGGRPSGLDSIOTGR235YPXGRB

not attested not anchored not stored refs pending

q-Bernoulli polynomials and q-umbral calculus

Dae San Kim, Taekyun Kim

arxiv:1306.6895 v1 · 2013-06-28 · 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{UOXGGRPSGLDSIOTGR235YPXGRB}

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	2026-05-18T03:19:35.862169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ae6345f232c7243a668eb7dc3ee6884a893ae4ece6d0aeb4ddee56684caf8f

Aliases

arxiv: 1306.6895 · arxiv_version: 1306.6895v1 · doi: 10.48550/arxiv.1306.6895 · pith_short_12: UOXGGRPSGLDS · pith_short_16: UOXGGRPSGLDSIOTG · pith_short_8: UOXGGRPS

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/UOXGGRPSGLDSIOTGR235YPXGRB \
  | 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: a3ae6345f232c7243a668eb7dc3ee6884a893ae4ece6d0aeb4ddee56684caf8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638d5060effa4ada6ab8990df4954728bb1c74f8ce6c10c2915e73bb82133926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-28T17:11:38Z",
    "title_canon_sha256": "04291baf683ae824a0eeca5a49f335761cec16527c07f0b3dc4edf854d9c1b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6895",
    "kind": "arxiv",
    "version": 1
  }
}