Pith Number

pith:VIYDDNF7

pith:2011:VIYDDNF7U6L5Q2D5LQ3QQPUYPX

not attested not anchored not stored refs pending

Geometrization of postcritically finite branched coverings (revised)

Michael Yampolsky, Sylvain Bonnot

arxiv:1102.2247 v3 · 2011-02-10 · math.DS · 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{VIYDDNF7U6L5Q2D5LQ3QQPUYPX}

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	2026-05-18T03:56:35.436884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3031b4bfa797d8687d5c37083e987dfbc3709e43b93db6de704b5e3092ce06

Aliases

arxiv: 1102.2247 · arxiv_version: 1102.2247v3 · doi: 10.48550/arxiv.1102.2247 · pith_short_12: VIYDDNF7U6L5 · pith_short_16: VIYDDNF7U6L5Q2D5 · pith_short_8: VIYDDNF7

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/VIYDDNF7U6L5Q2D5LQ3QQPUYPX \
  | 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: aa3031b4bfa797d8687d5c37083e987dfbc3709e43b93db6de704b5e3092ce06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6820a942f78308736fda150d9c55b03f662b31c508e2ef917b688e5bded75e92",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-10T21:56:10Z",
    "title_canon_sha256": "27a0005423d73e8ec8aca32b4addd397f5f4f857bcb659d700175974da33f706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2247",
    "kind": "arxiv",
    "version": 3
  }
}