Pith Number

pith:TBTBDAYW

pith:2010:TBTBDAYWVKB3MQY6G3RRBZ2SCV

not attested not anchored not stored refs pending

Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp

Cheon-Seoung Ryoo, Min-Soo Kim, Taekyun Kim

arxiv:1008.0233 v1 · 2010-08-02 · 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{TBTBDAYWVKB3MQY6G3RRBZ2SCV}

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	2026-05-18T04:42:43.726075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9866118316aa83b6431e36e310e752154461ba69e08a60cd9ef887272dc60102

Aliases

arxiv: 1008.0233 · arxiv_version: 1008.0233v1 · doi: 10.48550/arxiv.1008.0233 · pith_short_12: TBTBDAYWVKB3 · pith_short_16: TBTBDAYWVKB3MQY6 · pith_short_8: TBTBDAYW

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/TBTBDAYWVKB3MQY6G3RRBZ2SCV \
  | 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: 9866118316aa83b6431e36e310e752154461ba69e08a60cd9ef887272dc60102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387d0858dcf11256f4276d2b063c4859fd2eb0d37bc0c83ce65f343334c51377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-02T06:29:23Z",
    "title_canon_sha256": "eaeafe4add0d36b519cc77c3d819cf94a78f2acdf8626c4925682107bd705cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0233",
    "kind": "arxiv",
    "version": 1
  }
}