Pith Number

pith:QSJXSXYM

pith:2007:QSJXSXYMTNV4NJLM5GM3FUXLJA

not attested not anchored not stored refs pending

On some permutation polynomials over F_q of the form x^r*h(x^((q-1)/d)))

Michael E. Zieve

arxiv:0707.1110 v1 · 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{QSJXSXYMTNV4NJLM5GM3FUXLJA}

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	2026-05-18T03:11:22.499981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8493795f0c9b6bc6a56ce999b2d2eb4823bb5be9d1f3ea103fd9c4e962a90eac

Aliases

arxiv: 0707.1110 · arxiv_version: 0707.1110v1 · doi: 10.48550/arxiv.0707.1110 · pith_short_12: QSJXSXYMTNV4 · pith_short_16: QSJXSXYMTNV4NJLM · pith_short_8: QSJXSXYM

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/QSJXSXYMTNV4NJLM5GM3FUXLJA \
  | 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: 8493795f0c9b6bc6a56ce999b2d2eb4823bb5be9d1f3ea103fd9c4e962a90eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75e651e8f59a2499c4b5983951abf5c80fd0c075fda475eb7295c0d7ac8d503",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-07T20:04:17Z",
    "title_canon_sha256": "ebe0d276fa056dd18e5c025130593fc2c2114eb86c8c94fe3fb7037fa393cef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1110",
    "kind": "arxiv",
    "version": 1
  }
}