Pith Number

pith:X6WDNQQ7

pith:2019:X6WDNQQ7RIOGGU2IJW3TIPKUHL

not attested not anchored not stored refs pending

Further results on some classes of permutation polynomials over finite fields

Xiaogang Liu

arxiv:1907.03386 v1 · 2019-07-08 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6WDNQQ7RIOGGU2IJW3TIPKUHL}

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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	2026-05-17T23:41:16.365496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfac36c21f8a1c6353484db7343d543ad9d2205ba0bb33cff0ba6802c86107c1

Aliases

arxiv: 1907.03386 · arxiv_version: 1907.03386v1 · doi: 10.48550/arxiv.1907.03386 · pith_short_12: X6WDNQQ7RIOG · pith_short_16: X6WDNQQ7RIOGGU2I · pith_short_8: X6WDNQQ7

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/X6WDNQQ7RIOGGU2IJW3TIPKUHL \
  | 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: bfac36c21f8a1c6353484db7343d543ad9d2205ba0bb33cff0ba6802c86107c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0065775289225495c0f12c92cfdc2b69805bbe7d670c313a9a258405b780f2f7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-07-08T02:30:07Z",
    "title_canon_sha256": "26c22b4ab82a7f7809106205d3a6129dcd1fba99cc200874154ae2711af5825a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03386",
    "kind": "arxiv",
    "version": 1
  }
}