Pith Number

pith:MA7VMNKI

pith:2019:MA7VMNKIBECHNPHH6VBYYKOPAX

not attested not anchored not stored refs pending

Ramanujan-Bernoulli numbers as moments of Racah polynomials

Fr\'ed\'eric Chapoton (IRMA)

arxiv:1905.09012 v1 · 2019-05-22 · 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{MA7VMNKIBECHNPHH6VBYYKOPAX}

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	2026-05-17T23:45:24.613886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603f563548090476bce7f5438c29cf05f2fec048cbcb407069fbbe68ae983a8b

Aliases

arxiv: 1905.09012 · arxiv_version: 1905.09012v1 · doi: 10.48550/arxiv.1905.09012 · pith_short_12: MA7VMNKIBECH · pith_short_16: MA7VMNKIBECHNPHH · pith_short_8: MA7VMNKI

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/MA7VMNKIBECHNPHH6VBYYKOPAX \
  | 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: 603f563548090476bce7f5438c29cf05f2fec048cbcb407069fbbe68ae983a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd0cd5258a86cbf5d1056905c6577541949606d48ed7e9c81ccd65a2a586165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-22T08:27:10Z",
    "title_canon_sha256": "ec10f3c55a7c1121a96cb1655feff90571e0097353544fa09d3d821dcd53efaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09012",
    "kind": "arxiv",
    "version": 1
  }
}