Pith Number

pith:44XA6JNR

pith:2013:44XA6JNR7U3LMZYYH25ZXQVGXW

not attested not anchored not stored refs pending

p-adic invariant integral on Zp associated with the Changhee q-Bernoulli polynomials

Jong Jin Seo, Taekyun Kim

arxiv:1307.0173 v1 · 2013-06-30 · 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{44XA6JNR7U3LMZYYH25ZXQVGXW}

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	2026-05-18T03:19:34.087143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72e0f25b1fd36b667183ebb9bc2a6bdb7cf10de57842c9657ae3e3985abaecc

Aliases

arxiv: 1307.0173 · arxiv_version: 1307.0173v1 · doi: 10.48550/arxiv.1307.0173 · pith_short_12: 44XA6JNR7U3L · pith_short_16: 44XA6JNR7U3LMZYY · pith_short_8: 44XA6JNR

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/44XA6JNR7U3LMZYYH25ZXQVGXW \
  | 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: e72e0f25b1fd36b667183ebb9bc2a6bdb7cf10de57842c9657ae3e3985abaecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205709b64f5443f27390327f386993c4d8f71bccb7ebd145a8ad9df9e0d24dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-30T03:08:13Z",
    "title_canon_sha256": "f01416aa06455ef8ef2f14c950f0541f28ed37f9f01cdcc0df4acaa86dafd2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0173",
    "kind": "arxiv",
    "version": 1
  }
}