Pith Number

pith:CETSKBFW

pith:2011:CETSKBFW7LSWPRWUZGNH7FPPMV

not attested not anchored not stored refs pending

On the q-Euler numbers and polynomials with weight 0

T. Kim

arxiv:1110.2090 v1 · 2011-10-10 · 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{CETSKBFW7LSWPRWUZGNH7FPPMV}

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	2026-05-18T04:11:18.980576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11272504b6fae567c6d4c99a7f95ef65761af0b4ea6721e1c156a8d15d5909d1

Aliases

arxiv: 1110.2090 · arxiv_version: 1110.2090v1 · doi: 10.48550/arxiv.1110.2090 · pith_short_12: CETSKBFW7LSW · pith_short_16: CETSKBFW7LSWPRWU · pith_short_8: CETSKBFW

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/CETSKBFW7LSWPRWUZGNH7FPPMV \
  | 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: 11272504b6fae567c6d4c99a7f95ef65761af0b4ea6721e1c156a8d15d5909d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad9a3d02e3fff4256efbc12fa7267a1b9d426f163159eb1b77b1de2f6f12a21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-10T16:13:04Z",
    "title_canon_sha256": "30fcc70bbf48e77337e55deee591b517b121069eb175e0348ab687edcb181dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2090",
    "kind": "arxiv",
    "version": 1
  }
}