Pith Number

pith:VWW4MK7O

pith:2021:VWW4MK7ORRJHKQ6TMYMU2FPQ2O

not attested not anchored not stored refs pending

Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery

Christoph Koutschan, Doron Zeilberger, Robert Dougherty-Bliss

arxiv:2101.08308 v1 · 2021-01-20 · 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{VWW4MK7ORRJHKQ6TMYMU2FPQ2O}

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.

Cited by

1 paper in Pith

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic

Receipt and verification

First computed	2026-07-05T02:08:34.008354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adadc62bee8c527543d366194d15f0d39df5532e1da3cf76232063a8136f3ede

Aliases

arxiv: 2101.08308 · arxiv_version: 2101.08308v1 · doi: 10.48550/arxiv.2101.08308 · pith_short_12: VWW4MK7ORRJH · pith_short_16: VWW4MK7ORRJHKQ6T · pith_short_8: VWW4MK7O

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/VWW4MK7ORRJHKQ6TMYMU2FPQ2O \
  | 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: adadc62bee8c527543d366194d15f0d39df5532e1da3cf76232063a8136f3ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc80ef9d2d6968d0068847cab99cd5086b56e4bb2c1a0ecb53af174b83bc53ed",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-20T20:23:05Z",
    "title_canon_sha256": "f1abadbb8d9a572c7b4ce8ca0acd3b972f5e68435a487d6b6d116c16b8a22fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08308",
    "kind": "arxiv",
    "version": 1
  }
}