Pith Number

pith:GMLNL7NX

pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H

not attested not anchored not stored refs pending

Leafwise smoothing laminations

Danny Calegari

arxiv:math/0111119 v1 · 2001-11-09 · 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{GMLNL7NX4Z6LGTYMKRUIIWSX5H}

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	2026-05-18T02:41:33.186363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c

Aliases

arxiv: math/0111119 · arxiv_version: math/0111119v1 · doi: 10.48550/arxiv.math/0111119 · pith_short_12: GMLNL7NX4Z6L · pith_short_16: GMLNL7NX4Z6LGTYM · pith_short_8: GMLNL7NX

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/GMLNL7NX4Z6LGTYMKRUIIWSX5H \
  | 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: 3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d60a14445752719b0c74566513767ad07f4f5d41152988b2a741cdcda5bf96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-11-09T20:21:37Z",
    "title_canon_sha256": "6db09402dd27b3e4d26bfcd3b6f6cc1be1108d44c9d3bdece4d826992910d2b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111119",
    "kind": "arxiv",
    "version": 1
  }
}