Pith Number

pith:PF7R4TVO

pith:2018:PF7R4TVO63VITWXS2O6QPWJWIO

not attested not anchored not stored refs pending

Full Classification of permutation rational functions and complete rational functions of degree three over finite fields

Andrea Ferraguti, Giacomo Micheli

arxiv:1805.03097 v2 · 2018-05-08 · math.NT · cs.CR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF7R4TVO63VITWXS2O6QPWJWIO}

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	2026-05-17T23:54:48.485471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797f1e4eaef6ea89daf2d3bd07d936438eac58263339ad1d1bd84cde5cee96ae

Aliases

arxiv: 1805.03097 · arxiv_version: 1805.03097v2 · doi: 10.48550/arxiv.1805.03097 · pith_short_12: PF7R4TVO63VI · pith_short_16: PF7R4TVO63VITWXS · pith_short_8: PF7R4TVO

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/PF7R4TVO63VITWXS2O6QPWJWIO \
  | 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: 797f1e4eaef6ea89daf2d3bd07d936438eac58263339ad1d1bd84cde5cee96ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001c7317f275eb4dfd9fa22c4f27d49b75a38d0d79c98f4fb80301960b0b5f5e",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-08T15:14:45Z",
    "title_canon_sha256": "3b1a2395df84902897d4c04899383f727715a2cdae029ff20b32d4bc04a7d40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03097",
    "kind": "arxiv",
    "version": 2
  }
}