Pith Number

pith:7DBZR5GG

pith:2013:7DBZR5GGRL4BZ6SD5OU7C7XPUN

not attested not anchored not stored refs pending

A Class of Permutation Trinomials over Finite Fields

Xiang-dong Hou

arxiv:1303.0568 v1 · 2013-03-03 · 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{7DBZR5GGRL4BZ6SD5OU7C7XPUN}

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	2026-05-18T03:31:55.564685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c398f4c68af81cfa43eba9f17eefa377b8b8e8bc6c415dcb5a0dcf210315ce

Aliases

arxiv: 1303.0568 · arxiv_version: 1303.0568v1 · doi: 10.48550/arxiv.1303.0568 · pith_short_12: 7DBZR5GGRL4B · pith_short_16: 7DBZR5GGRL4BZ6SD · pith_short_8: 7DBZR5GG

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/7DBZR5GGRL4BZ6SD5OU7C7XPUN \
  | 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: f8c398f4c68af81cfa43eba9f17eefa377b8b8e8bc6c415dcb5a0dcf210315ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd0a5de0d4ac5c925b87e010294f5248eeb2c61a3ddbec579eb9b6579900236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-03T21:02:17Z",
    "title_canon_sha256": "f09615e522de9a98e2dfbf5ab81d32f06c51229aa15b2fb50832b4042989be30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0568",
    "kind": "arxiv",
    "version": 1
  }
}