Pith Number

pith:X36MMMOE

pith:2010:X36MMMOEZK3TBDUCJMENXPPBPA

not attested not anchored not stored refs pending

Computer Generated Images for Quadratic Rational Maps with a Periodic Critical Point

Daniel Jackson, Dustin Gage

arxiv:1009.3478 v1 · 2010-09-17 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X36MMMOEZK3TBDUCJMENXPPBPA}

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	2026-05-18T04:40:45.602053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

befcc631c4cab7308e824b08dbbde17820a35e9a41202e0a122a960d577813ad

Aliases

arxiv: 1009.3478 · arxiv_version: 1009.3478v1 · doi: 10.48550/arxiv.1009.3478 · pith_short_12: X36MMMOEZK3T · pith_short_16: X36MMMOEZK3TBDUC · pith_short_8: X36MMMOE

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/X36MMMOEZK3TBDUCJMENXPPBPA \
  | 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: befcc631c4cab7308e824b08dbbde17820a35e9a41202e0a122a960d577813ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0b60dd575f18e2a3c1ee6b3ed0fa822f4a018c15027b33c2f9b8367cd33ec2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-17T18:07:50Z",
    "title_canon_sha256": "76e366a3e294ef8985fb85dfb1f4cd6102b18ff364e6c7665c16be80889fc0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3478",
    "kind": "arxiv",
    "version": 1
  }
}