Pith Number

pith:INLJ3C6O

pith:2011:INLJ3C6OH3TOXPRYSVD5CZAPKD

not attested not anchored not stored refs pending

Pi01 sets and tilings

Emmanuel Jeandel (LIF), Pascal Vanier (LIF)

arxiv:1102.1189 v2 · 2011-02-06 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INLJ3C6OH3TOXPRYSVD5CZAPKD}

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	2026-05-18T04:22:31.742547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43569d8bce3ee6ebbe389547d1640f50db5af41b0057758cb08ee305ff1e6151

Aliases

arxiv: 1102.1189 · arxiv_version: 1102.1189v2 · doi: 10.48550/arxiv.1102.1189 · pith_short_12: INLJ3C6OH3TO · pith_short_16: INLJ3C6OH3TOXPRY · pith_short_8: INLJ3C6O

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/INLJ3C6OH3TOXPRYSVD5CZAPKD \
  | 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: 43569d8bce3ee6ebbe389547d1640f50db5af41b0057758cb08ee305ff1e6151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682af0a3dfcc681ee14ca3849eece26d3f004d09c2b92cd60c3522040cda7b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-02-06T19:28:42Z",
    "title_canon_sha256": "bcb1e2d7847144aa98ebe484881e8b4e564a616f9a0bd2be5157224044d7bb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1189",
    "kind": "arxiv",
    "version": 2
  }
}