Pith Number

pith:L4MN4VSY

pith:2007:L4MN4VSYZAWJBWUTVX5OSK5347

not attested not anchored not stored refs pending

An algebraic formulation of Thurston's characterization of rational functions

Kevin M. Pilgrim

arxiv:0708.3385 v2 · 2007-08-24 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4MN4VSYZAWJBWUTVX5OSK5347}

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	2026-05-18T04:32:22.335268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f18de5658c82c90da93adfae92bbbe7d1226d3e2d8534f791b4944473568e49

Aliases

arxiv: 0708.3385 · arxiv_version: 0708.3385v2 · doi: 10.48550/arxiv.0708.3385 · pith_short_12: L4MN4VSYZAWJ · pith_short_16: L4MN4VSYZAWJBWUT · pith_short_8: L4MN4VSY

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/L4MN4VSYZAWJBWUTVX5OSK5347 \
  | 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: 5f18de5658c82c90da93adfae92bbbe7d1226d3e2d8534f791b4944473568e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2dcfad9c73b2c06524200c8412703b267a3f2e04bbf34aa923d15078e2bb65b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-08-24T19:14:35Z",
    "title_canon_sha256": "ae05f2f4d7d8bd14ee0a1183bb507999f26443eb3f998cea31d630905941c546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3385",
    "kind": "arxiv",
    "version": 2
  }
}