Pith Number

pith:OXTZV5I6

pith:2010:OXTZV5I64VOGQEQFGS22J3CAKJ

not attested not anchored not stored refs pending

Integrality and rigidity for postcritically finite polynomials

Adam Epstein

arxiv:1010.2780 v1 · 2010-10-13 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXTZV5I64VOGQEQFGS22J3CAKJ}

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	2026-05-18T02:58:01.648783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e79af51ee55c68120534b5a4ec405257bbc9facffa6cb9d392474165391c31

Aliases

arxiv: 1010.2780 · arxiv_version: 1010.2780v1 · doi: 10.48550/arxiv.1010.2780 · pith_short_12: OXTZV5I64VOG · pith_short_16: OXTZV5I64VOGQEQF · pith_short_8: OXTZV5I6

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/OXTZV5I64VOGQEQFGS22J3CAKJ \
  | 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: 75e79af51ee55c68120534b5a4ec405257bbc9facffa6cb9d392474165391c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927d3ed84055fadde795c3375c644de957099ee45100ee514f0fc6d9050cfc8f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-13T21:26:52Z",
    "title_canon_sha256": "638a371f2606ab1e4f69c87a6f8f50065ef84e8dcace80850abf237610534196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2780",
    "kind": "arxiv",
    "version": 1
  }
}