Pith Number

pith:475JZGBT

pith:2026:475JZGBTHMHHFE6MUENPCJ2E5K

not attested not anchored not stored refs pending

Almost All Vectorial Functions Have Trivial Extended-Affine Stabilizers

Keita Ishizuka

arxiv:2602.06668 v3 · 2026-02-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{475JZGBTHMHHFE6MUENPCJ2E5K}

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	2026-05-25T02:01:14.476670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fa9c98333b0e7293cca11af12744ea8f257fe919a3aab9fce856721017125a

Aliases

arxiv: 2602.06668 · arxiv_version: 2602.06668v3 · doi: 10.48550/arxiv.2602.06668 · pith_short_12: 475JZGBTHMHH · pith_short_16: 475JZGBTHMHHFE6M · pith_short_8: 475JZGBT

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/475JZGBTHMHHFE6MUENPCJ2E5K \
  | 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: e7fa9c98333b0e7293cca11af12744ea8f257fe919a3aab9fce856721017125a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d3a7d77c7f6b20bb1fea5715739a88c60483bf0f353ee25fd93ef3cbea05a6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-06T12:53:38Z",
    "title_canon_sha256": "fa30692f1fad2ff96c3131aaf5a7425be6362a3f9a769539b55cbb0a067ebcbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06668",
    "kind": "arxiv",
    "version": 3
  }
}