Pith Number

pith:7F5MAFPY

pith:2018:7F5MAFPYBXNLGP6FKBWGDHIECU

not attested not anchored not stored refs pending

A classification of permutation polynomials of degree $7$ over finite fields

Xiang Fan

arxiv:1812.02080 v1 · 2018-12-05 · 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{7F5MAFPYBXNLGP6FKBWGDHIECU}

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	2026-05-17T23:44:58.294101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97ac015f80ddab33fc5506c619d041500588db0992d1c689cc5d25bb7650369

Aliases

arxiv: 1812.02080 · arxiv_version: 1812.02080v1 · doi: 10.48550/arxiv.1812.02080 · pith_short_12: 7F5MAFPYBXNL · pith_short_16: 7F5MAFPYBXNLGP6F · pith_short_8: 7F5MAFPY

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/7F5MAFPYBXNLGP6FKBWGDHIECU \
  | 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: f97ac015f80ddab33fc5506c619d041500588db0992d1c689cc5d25bb7650369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3956c65cebce92e88d498c0908dad14ffc2f7c2b328b18bb7b21a754569b6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-05T16:17:25Z",
    "title_canon_sha256": "48653a425253cfa93962fc3f51b18e7bfc4931cf4f5d310e91952fe4fd9ee475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02080",
    "kind": "arxiv",
    "version": 1
  }
}