Pith Number

pith:7BQF2QBI

pith:2010:7BQF2QBILCMELYJE5QVYFGQGA5

not attested not anchored not stored refs pending

A finiteness result for post-critically finite polynomials

Patrick Ingram

arxiv:1010.3393 v2 · 2010-10-17 · math.NT · 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{7BQF2QBILCMELYJE5QVYFGQGA5}

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	2026-05-18T04:28:47.799746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8605d4028589845e124ec2b829a06075718ce1d18bac902fb447d0f1ee8c311

Aliases

arxiv: 1010.3393 · arxiv_version: 1010.3393v2 · doi: 10.48550/arxiv.1010.3393 · pith_short_12: 7BQF2QBILCME · pith_short_16: 7BQF2QBILCMELYJE · pith_short_8: 7BQF2QBI

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/7BQF2QBILCMELYJE5QVYFGQGA5 \
  | 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: f8605d4028589845e124ec2b829a06075718ce1d18bac902fb447d0f1ee8c311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060ba88fc12281393c39024b76e3f09cb286d2f01f4ce2c2f5f4c2840f52e239",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-17T02:59:27Z",
    "title_canon_sha256": "df4f261fb6d3aee48cd93abf57bfb284c3862944e23d4369f599dc8197515fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3393",
    "kind": "arxiv",
    "version": 2
  }
}