Pith Number

pith:RLH2K4BQ

pith:2013:RLH2K4BQOWG2PAZJZ5LVGP3HBA

not attested not anchored not stored refs pending

Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals

Alan Haynes, Christopher White

arxiv:1309.2562 v1 · 2013-09-10 · 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{RLH2K4BQOWG2PAZJZ5LVGP3HBA}

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	2026-05-18T03:13:44.243229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8acfa57030758da78329cf57533f67081b2924cf30a4dd6906cdc91031694f17

Aliases

arxiv: 1309.2562 · arxiv_version: 1309.2562v1 · doi: 10.48550/arxiv.1309.2562 · pith_short_12: RLH2K4BQOWG2 · pith_short_16: RLH2K4BQOWG2PAZJ · pith_short_8: RLH2K4BQ

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/RLH2K4BQOWG2PAZJZ5LVGP3HBA \
  | 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: 8acfa57030758da78329cf57533f67081b2924cf30a4dd6906cdc91031694f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f8da26658e07cd00f821b84cec4e17fdfecc8479c7d918f6b15760102dd2a1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-10T16:09:57Z",
    "title_canon_sha256": "14ecd3a43026f2d2ff4aa7194f6af623d4e4010d41a1dd3529590c8d3f51b92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2562",
    "kind": "arxiv",
    "version": 1
  }
}