Pith Number

pith:G5E2O3HW

pith:2012:G5E2O3HWOARUA4TQDKJWFCX2JP

not attested not anchored not stored refs pending

One-dimensional polynomial maps, periodic points and multipliers

Yuri G. Zarhin

arxiv:1207.3055 v6 · 2012-07-12 · math.AG · 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{G5E2O3HWOARUA4TQDKJWFCX2JP}

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	2026-05-18T01:56:24.283229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3749a76cf670234072701a93628afa4bf947d5959e53b17ac7a266bb3ab25421

Aliases

arxiv: 1207.3055 · arxiv_version: 1207.3055v6 · doi: 10.48550/arxiv.1207.3055 · pith_short_12: G5E2O3HWOARU · pith_short_16: G5E2O3HWOARUA4TQ · pith_short_8: G5E2O3HW

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/G5E2O3HWOARUA4TQDKJWFCX2JP \
  | 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: 3749a76cf670234072701a93628afa4bf947d5959e53b17ac7a266bb3ab25421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db735a606e90fa89c1c370fc7a35f10d0477c3ce1c6d904014a5d887d5b32811",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-12T18:37:30Z",
    "title_canon_sha256": "a10260014b6a515682adb84e193539da575e6d6aae8da24bd615e0a350804237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3055",
    "kind": "arxiv",
    "version": 6
  }
}