Pith Number

pith:HFG7E5MA

pith:2011:HFG7E5MAAUESEWFPFLQYJ66JAN

not attested not anchored not stored refs pending

Periods of rational maps modulo primes

Benjamin Hutz, Dragos Ghioca, P\"ar Kurlberg, Robert L. Benedetto, Thomas J. Tucker, Thomas Scanlon

arxiv:1107.2816 v1 · 2011-07-14 · math.AG · 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{HFG7E5MAAUESEWFPFLQYJ66JAN}

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	2026-05-18T04:18:15.644274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394df2758005092258af2ae184fbc90352d059ca60d16a70aa60faa6bfed10cb

Aliases

arxiv: 1107.2816 · arxiv_version: 1107.2816v1 · doi: 10.48550/arxiv.1107.2816 · pith_short_12: HFG7E5MAAUES · pith_short_16: HFG7E5MAAUESEWFP · pith_short_8: HFG7E5MA

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/HFG7E5MAAUESEWFPFLQYJ66JAN \
  | 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: 394df2758005092258af2ae184fbc90352d059ca60d16a70aa60faa6bfed10cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fc006e7f2b56bc638a05c7f91833b8d52022ad20f8669afe8477144563348a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-14T13:35:46Z",
    "title_canon_sha256": "21755c62c049a89fe63879cc9de25b055d283770c5a5522be47d3e28a98f0171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2816",
    "kind": "arxiv",
    "version": 1
  }
}