Pith Number

pith:2US5DDCZ

pith:2017:2US5DDCZ7QOZPP2CMI3PH5DRXW

not attested not anchored not stored refs pending

A generalization of an identity due to Kimura and Ruehr

Jean-Paul Allouche

arxiv:1706.08929 v1 · 2017-06-27 · 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{2US5DDCZ7QOZPP2CMI3PH5DRXW}

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	2026-05-18T00:41:30.540018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d525d18c59fc1d97bf426236f3f471bdb94cb51cc38b93868f67e2e21b7c16f7

Aliases

arxiv: 1706.08929 · arxiv_version: 1706.08929v1 · doi: 10.48550/arxiv.1706.08929 · pith_short_12: 2US5DDCZ7QOZ · pith_short_16: 2US5DDCZ7QOZPP2C · pith_short_8: 2US5DDCZ

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/2US5DDCZ7QOZPP2CMI3PH5DRXW \
  | 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: d525d18c59fc1d97bf426236f3f471bdb94cb51cc38b93868f67e2e21b7c16f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969fd5775784173d0e79ae5d807141f1f89b64b1aac5dfda1f224ca9625a9f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-27T16:28:22Z",
    "title_canon_sha256": "fac46de03b16bf035e991e799a09b81b28884ee0f0db17de251e141f13c013bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08929",
    "kind": "arxiv",
    "version": 1
  }
}