Pith Number

pith:JQ5PJFN2

pith:2025:JQ5PJFN2PCQ5RLL4ZODO2KPOPP

not attested not anchored not stored refs pending

Some classes of permutation pentanomials

Michael E. Zieve, Zhiguo Ding

arxiv:2501.04115 v1 · 2025-01-07 · 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{JQ5PJFN2PCQ5RLL4ZODO2KPOPP}

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	2026-07-05T09:58:30.317373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3af495ba78a1d8ad7ccb86ed29ee7bfbde8df0c0788994d957855817611cd4

Aliases

arxiv: 2501.04115 · arxiv_version: 2501.04115v1 · doi: 10.48550/arxiv.2501.04115 · pith_short_12: JQ5PJFN2PCQ5 · pith_short_16: JQ5PJFN2PCQ5RLL4 · pith_short_8: JQ5PJFN2

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/JQ5PJFN2PCQ5RLL4ZODO2KPOPP \
  | 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: 4c3af495ba78a1d8ad7ccb86ed29ee7bfbde8df0c0788994d957855817611cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c334ad5a758a9c1e71b9b39cae051d0e262d55f10e78ec71bcc6749913c394f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-07T19:50:34Z",
    "title_canon_sha256": "7d50c3081ef2f6e26482257c99f9d11187b6c06e4cc0250ad8f68fb1d6e8f9a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04115",
    "kind": "arxiv",
    "version": 1
  }
}