Pith Number

pith:L3HJXVRZ

pith:2002:L3HJXVRZ2DXAKAGWZ2RU7OCZQR

not attested not anchored not stored refs pending

Laminations and groups of homeomorphisms of the circle

Danny Calegari, Nathan M. Dunfield

arxiv:math/0203192 v2 · 2002-03-19 · 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{L3HJXVRZ2DXAKAGWZ2RU7OCZQR}

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	2026-05-18T01:38:29.629015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ece9bd639d0ee0500d6cea34fb859845d2e087ea7a616f15f94fac5bfa92d26

Aliases

arxiv: math/0203192 · arxiv_version: math/0203192v2 · doi: 10.48550/arxiv.math/0203192 · pith_short_12: L3HJXVRZ2DXA · pith_short_16: L3HJXVRZ2DXAKAGW · pith_short_8: L3HJXVRZ

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/L3HJXVRZ2DXAKAGWZ2RU7OCZQR \
  | 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: 5ece9bd639d0ee0500d6cea34fb859845d2e087ea7a616f15f94fac5bfa92d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec2e7fe80fad74d73d213a4df9c559674c252a1f4081c80bfe7e486bbb12834",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-03-19T14:35:21Z",
    "title_canon_sha256": "d7ad32e0a64f0cb241199fe291c01d27b2d5fbf0534f119d2ed931490414d824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203192",
    "kind": "arxiv",
    "version": 2
  }
}