Pith Number

pith:JCHFYJEI

pith:2014:JCHFYJEIDK6VKRQAVVUHFCOMSV

not attested not anchored not stored refs pending

Entropy in Dimension One

William Thurston

arxiv:1402.2008 v1 · 2014-02-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCHFYJEIDK6VKRQAVVUHFCOMSV}

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	2026-05-18T02:59:32.709431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488e5c24881abd554600ad687289cc954159b88ea3f0a1f61e7ddaf259c573ce

Aliases

arxiv: 1402.2008 · arxiv_version: 1402.2008v1 · doi: 10.48550/arxiv.1402.2008 · pith_short_12: JCHFYJEIDK6V · pith_short_16: JCHFYJEIDK6VKRQA · pith_short_8: JCHFYJEI

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/JCHFYJEIDK6VKRQAVVUHFCOMSV \
  | 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: 488e5c24881abd554600ad687289cc954159b88ea3f0a1f61e7ddaf259c573ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4a11e0d1a7c78b266c41af0ed1470b1e5f96a937d53bd761cef31f89e769c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-09T23:47:18Z",
    "title_canon_sha256": "bce93e032eb77d62ee9138d9f282cd954c543cd837fc2644ed6f822fd7403e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2008",
    "kind": "arxiv",
    "version": 1
  }
}