Pith Number

pith:CJE4OXNM

pith:2019:CJE4OXNMSBKG5TBOMN32XHJQQC

not attested not anchored not stored refs pending

Degree-d-invariant laminations

Dylan P. Thurston, Hyungryul Baik, John H. Hubbard, Kathryn A. Lindsey, Tan Lei, William P. Thurston, Yan Gao

arxiv:1906.05324 v1 · 2019-06-12 · 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{CJE4OXNMSBKG5TBOMN32XHJQQC}

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	2026-05-17T23:43:25.592556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1249c75dac90546ecc2e6377ab9d30808e00e2187e732da1e2044090018b1f2d

Aliases

arxiv: 1906.05324 · arxiv_version: 1906.05324v1 · doi: 10.48550/arxiv.1906.05324 · pith_short_12: CJE4OXNMSBKG · pith_short_16: CJE4OXNMSBKG5TBO · pith_short_8: CJE4OXNM

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/CJE4OXNMSBKG5TBOMN32XHJQQC \
  | 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: 1249c75dac90546ecc2e6377ab9d30808e00e2187e732da1e2044090018b1f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1d08724841463e5ecb83ace760e9909b00c1997d4e849b1c4a5a24c01559b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-12T18:44:34Z",
    "title_canon_sha256": "a25c2c0da35a5b09b20ecefc87a088e6ea27c7efcd84f0c671e6b2405716831a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05324",
    "kind": "arxiv",
    "version": 1
  }
}