Pith Number

pith:E2HEHU3J

pith:2002:E2HEHU3JTEYIYNZ3TKHCYTPHIE

not attested not anchored not stored refs pending

Promoting Essential Laminations

Danny Calegari

arxiv:math/0210148 v3 · 2002-10-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2HEHU3JTEYIYNZ3TKHCYTPHIE}

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	2026-05-18T01:38:29.397919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268e43d36999308c373b9a8e2c4de741004d1de9da09cf65c9e9c1bedd3fe7bf

Aliases

arxiv: math/0210148 · arxiv_version: math/0210148v3 · doi: 10.48550/arxiv.math/0210148 · pith_short_12: E2HEHU3JTEYI · pith_short_16: E2HEHU3JTEYIYNZ3 · pith_short_8: E2HEHU3J

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/E2HEHU3JTEYIYNZ3TKHCYTPHIE \
  | 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: 268e43d36999308c373b9a8e2c4de741004d1de9da09cf65c9e9c1bedd3fe7bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8ac26408bd2d3e1662e63af55fb5972af875185bafced10eb6a72025388813",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-10-10T00:53:52Z",
    "title_canon_sha256": "351c3a58ae148be00b0b27832c55602cad512a8dba6669f94eb75db7fb5e247e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210148",
    "kind": "arxiv",
    "version": 3
  }
}