Pith Number

pith:BM6CVKXI

pith:2013:BM6CVKXIWKJKDV4IH6AGSJQFLN

not attested not anchored not stored refs pending

Small dynamical heights for quadratic polynomials and rational functions

Colin White, Robert L. Benedetto, Ruqian Chen, Trevor Hyde, Yordanka Kovacheva

arxiv:1312.0491 v2 · 2013-12-02 · 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{BM6CVKXIWKJKDV4IH6AGSJQFLN}

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	2026-05-18T02:30:15.820889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3c2aaae8b292a1d7883f806926055b4e0e623cb74a49313e9f44cfd7520f6c

Aliases

arxiv: 1312.0491 · arxiv_version: 1312.0491v2 · doi: 10.48550/arxiv.1312.0491 · pith_short_12: BM6CVKXIWKJK · pith_short_16: BM6CVKXIWKJKDV4I · pith_short_8: BM6CVKXI

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/BM6CVKXIWKJKDV4IH6AGSJQFLN \
  | 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: 0b3c2aaae8b292a1d7883f806926055b4e0e623cb74a49313e9f44cfd7520f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4058bf9a2e9542f572f0169462faae965963f2c66e018a2eb4cbb24e365c6740",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-02T15:37:34Z",
    "title_canon_sha256": "7bc3d6eb9d0898337f292c3959f3655056343c409d8a471b9c6a76462ebddd1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0491",
    "kind": "arxiv",
    "version": 2
  }
}