Pith Number

pith:2KCIWF32

pith:2015:2KCIWF322MTXCR6QHZZBZQSTA2

not attested not anchored not stored refs pending

Periods of Iterated Rational Functions over a Finite Field

Charles Burnette, Eric Schmutz

arxiv:1508.04193 v3 · 2015-08-18 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KCIWF322MTXCR6QHZZBZQSTA2}

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	2026-05-18T00:53:15.929662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2848b177ad3277147d03e721cc25306b8fabc0e5a137b98bb86d4c62b7ac923

Aliases

arxiv: 1508.04193 · arxiv_version: 1508.04193v3 · doi: 10.48550/arxiv.1508.04193 · pith_short_12: 2KCIWF322MTX · pith_short_16: 2KCIWF322MTXCR6Q · pith_short_8: 2KCIWF32

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/2KCIWF322MTXCR6QHZZBZQSTA2 \
  | 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: d2848b177ad3277147d03e721cc25306b8fabc0e5a137b98bb86d4c62b7ac923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0649f9f0347c3cb28fbb51e213e4ba0492c074f90e5f8afd0b293463a03fb09",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-18T02:10:12Z",
    "title_canon_sha256": "7d8ad3832328f3b35660b68ffe46dd4ebe28a03876eacce2343f7f76ac4db063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04193",
    "kind": "arxiv",
    "version": 3
  }
}