Pith Number

pith:PH4NDWZ4

pith:2007:PH4NDWZ4ZOGOPEBT64PEJFTW4Q

not attested not anchored not stored refs pending

Permutation binomials over finite fields

Ariane M. Masuda, Michael E. Zieve

arxiv:0707.1108 v3 · 2007-07-07 · 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{PH4NDWZ4ZOGOPEBT64PEJFTW4Q}

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	2026-05-18T03:11:22.505782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f8d1db3ccb8ce79033f71e449676e4161ddd9181ad40c57d21c1e93558a61c

Aliases

arxiv: 0707.1108 · arxiv_version: 0707.1108v3 · doi: 10.48550/arxiv.0707.1108 · pith_short_12: PH4NDWZ4ZOGO · pith_short_16: PH4NDWZ4ZOGOPEBT · pith_short_8: PH4NDWZ4

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/PH4NDWZ4ZOGOPEBT64PEJFTW4Q \
  | 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: 79f8d1db3ccb8ce79033f71e449676e4161ddd9181ad40c57d21c1e93558a61c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f000792fe348db74d908b177ca54be2b2f17ae07f7d6a3b8e5c312bd46bf28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-07T19:43:00Z",
    "title_canon_sha256": "811d99b3086373f2c2052da9b3d2a4a79d3f85a13d58cd44243e4949babd8cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1108",
    "kind": "arxiv",
    "version": 3
  }
}