Pith Number

pith:O5CXQAXD

pith:2007:O5CXQAXDZ5YIDA6L2MP7K6JHD4

not attested not anchored not stored refs pending

The Modified q-Euler numbers and polynomials

T. Kim

arxiv:math/0702523 v1 · 2007-02-18 · 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{O5CXQAXDZ5YIDA6L2MP7K6JHD4}

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	2026-07-04T14:59:36.429598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77457802e3cf708183cbd31ff579271f2fb2eca15cddef148ecdc0da184857c7

Aliases

arxiv: math/0702523 · arxiv_version: math/0702523v1 · doi: 10.48550/arxiv.math/0702523 · pith_short_12: O5CXQAXDZ5YI · pith_short_16: O5CXQAXDZ5YIDA6L · pith_short_8: O5CXQAXD

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/O5CXQAXDZ5YIDA6L2MP7K6JHD4 \
  | 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: 77457802e3cf708183cbd31ff579271f2fb2eca15cddef148ecdc0da184857c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e3e5a510f5d9b8533b0f22e063fb6fa4a0d79cba011d01319a81b8c85be48d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-02-18T14:24:44Z",
    "title_canon_sha256": "fdaafd045cb528f7633eb6793925949730ef737330505c756aeea1cdf9d74d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702523",
    "kind": "arxiv",
    "version": 1
  }
}