Pith Number

pith:UM7TGDTX

pith:2019:UM7TGDTX22FN7P3YQPHB25NDBP

not attested not anchored not stored refs pending

Permutation Binomials over Finite Fields

F. E. Brochero Mart\'inez, Jos\'e Alves Oliveira

arxiv:1907.09355 v1 · 2019-07-22 · 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{UM7TGDTX22FN7P3YQPHB25NDBP}

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	2026-05-17T23:39:59.420500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33f330e77d68adfbf7883ce1d75a30bd61aca4d0e0a2c15e9d870b058a84c4a

Aliases

arxiv: 1907.09355 · arxiv_version: 1907.09355v1 · doi: 10.48550/arxiv.1907.09355 · pith_short_12: UM7TGDTX22FN · pith_short_16: UM7TGDTX22FN7P3Y · pith_short_8: UM7TGDTX

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/UM7TGDTX22FN7P3YQPHB25NDBP \
  | 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: a33f330e77d68adfbf7883ce1d75a30bd61aca4d0e0a2c15e9d870b058a84c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e930e7f5974130a229433cfd662619850a98c23200f6c8cbc36fefc1640e8f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-22T14:51:55Z",
    "title_canon_sha256": "811d99b3086373f2c2052da9b3d2a4a79d3f85a13d58cd44243e4949babd8cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09355",
    "kind": "arxiv",
    "version": 1
  }
}