Pith Number

pith:A4U4OT7W

pith:2011:A4U4OT7WSYYNEVYF3CJU7HMLJM

not attested not anchored not stored refs pending

Laminations in the language of leaves

Alexander M. Blokh, Debra Mimbs, Kirsten I. S. Valkenburg, Lex G. Oversteegen

arxiv:1106.0273 v2 · 2011-06-01 · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4U4OT7WSYYNEVYF3CJU7HMLJM}

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	2026-05-18T01:22:52.685913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0729c74ff69630d25705d8934f9d8b4b1e826b666fa07300a830deeda5e6a159

Aliases

arxiv: 1106.0273 · arxiv_version: 1106.0273v2 · doi: 10.48550/arxiv.1106.0273 · pith_short_12: A4U4OT7WSYYN · pith_short_16: A4U4OT7WSYYNEVYF · pith_short_8: A4U4OT7W

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/A4U4OT7WSYYNEVYF3CJU7HMLJM \
  | 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: 0729c74ff69630d25705d8934f9d8b4b1e826b666fa07300a830deeda5e6a159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f7adf693a1d3e15d514b6779717686ec5263da953eeb823ddb77e19ec3801d",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-01T18:06:22Z",
    "title_canon_sha256": "2b999c56a3de81b3bb36fad25c965aa4e44b2c6b4c3c62a8472f503dbaf6d925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0273",
    "kind": "arxiv",
    "version": 2
  }
}