Pith Number

pith:JOF4SQF3

pith:2010:JOF4SQF3IIITEAJZ2YXRVZUQ5N

not attested not anchored not stored refs pending

Thurston equivalence to a rational map is decidable

Mark Braverman, Michael Yampolsky, Sylvain Bonnot

arxiv:1009.5713 v1 · 2010-09-28 · math.DS · math.GT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOF4SQF3IIITEAJZ2YXRVZUQ5N}

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	2026-05-18T04:40:09.082755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8bc940bb4211320139d62f1ae690eb7223d0c15d210551e30a558eaae481aa

Aliases

arxiv: 1009.5713 · arxiv_version: 1009.5713v1 · doi: 10.48550/arxiv.1009.5713 · pith_short_12: JOF4SQF3IIIT · pith_short_16: JOF4SQF3IIITEAJZ · pith_short_8: JOF4SQF3

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/JOF4SQF3IIITEAJZ2YXRVZUQ5N \
  | 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: 4b8bc940bb4211320139d62f1ae690eb7223d0c15d210551e30a558eaae481aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a79d304559feda916e508227bfd60d026c99b0fadb54966403da4ef43009d7a",
    "cross_cats_sorted": [
      "math.GT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-28T22:37:53Z",
    "title_canon_sha256": "6c610a21e333b237995eca35a3eeca88d3bec2fa8199447ffe632291c5037001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5713",
    "kind": "arxiv",
    "version": 1
  }
}