Pith Number

pith:KHDKXFGD

pith:2012:KHDKXFGD4ABPOG5SSHY7YDP2P7

not attested not anchored not stored refs pending

Polynomial functions of degree 20 which are APN infinitely often

Florian Caullery

arxiv:1212.4638 v2 · 2012-12-19 · cs.IT · cs.CR · 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{KHDKXFGD4ABPOG5SSHY7YDP2P7}

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	2026-05-18T03:35:27.733890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c6ab94c3e002f71bb291f1fc0dfa7fd46dea991889371baa1e8f2af6922e87

Aliases

arxiv: 1212.4638 · arxiv_version: 1212.4638v2 · doi: 10.48550/arxiv.1212.4638 · pith_short_12: KHDKXFGD4ABP · pith_short_16: KHDKXFGD4ABPOG5S · pith_short_8: KHDKXFGD

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/KHDKXFGD4ABPOG5SSHY7YDP2P7 \
  | 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: 51c6ab94c3e002f71bb291f1fc0dfa7fd46dea991889371baa1e8f2af6922e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4110b05a085a39bb7095f94525ad1718f9252b7446f832d543a5ad0b71d8aa2e",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-19T12:27:24Z",
    "title_canon_sha256": "45ba8c6f7a1da915bad2c61191ecaa48d4a67e6e99a08bb793905354db330643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4638",
    "kind": "arxiv",
    "version": 2
  }
}