Pith Number

pith:RQNQWZT3

pith:2004:RQNQWZT3WBBTZ6IJWDITJ6F4IA

not attested not anchored not stored refs pending

Identities concerning Bernoulli and Euler polynomials

Hao Pan, Zhi-Wei Sun

arxiv:math/0409035 v4 · 2004-09-02 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQNQWZT3WBBTZ6IJWDITJ6F4IA}

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	2026-07-04T14:50:07.021938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c1b0b667bb0433cf909b0d134f8bc403689f52353218601adc17d784f479011

Aliases

arxiv: math/0409035 · arxiv_version: math/0409035v4 · doi: 10.48550/arxiv.math/0409035 · pith_short_12: RQNQWZT3WBBT · pith_short_16: RQNQWZT3WBBTZ6IJ · pith_short_8: RQNQWZT3

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/RQNQWZT3WBBTZ6IJWDITJ6F4IA \
  | 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: 8c1b0b667bb0433cf909b0d134f8bc403689f52353218601adc17d784f479011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b326b3f70ab0924192f018c23724387a0241e66e74a9587820b34d1bbf90526",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-09-02T19:20:48Z",
    "title_canon_sha256": "cf10c3e5bd889162fbb2dd1a052bdef0913a75b41a1998fa0980e4e271c1a7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409035",
    "kind": "arxiv",
    "version": 4
  }
}