Pith Number

pith:6DYYENQH

pith:2022:6DYYENQHDU7ATVKPXT5HGBALXF

not attested not anchored not stored refs pending

Proof of a conjecture involving derangements and roots of unity

Han Wang, Zhi-Wei Sun

arxiv:2206.02589 v3 · 2022-06-06 · math.CO · 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{6DYYENQHDU7ATVKPXT5HGBALXF}

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	2026-07-05T04:36:23.266303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f18236071d3e09d54fbcfa73040bb966b3667bdce4b4b8734fbcc02768dcff

Aliases

arxiv: 2206.02589 · arxiv_version: 2206.02589v3 · doi: 10.48550/arxiv.2206.02589 · pith_short_12: 6DYYENQHDU7A · pith_short_16: 6DYYENQHDU7ATVKP · pith_short_8: 6DYYENQH

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/6DYYENQHDU7ATVKPXT5HGBALXF \
  | 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: f0f18236071d3e09d54fbcfa73040bb966b3667bdce4b4b8734fbcc02768dcff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e548177c1365d3961400c0d683bd3ebd0cf3a49797c14f5ea147f5c2503d17e3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-06T14:32:58Z",
    "title_canon_sha256": "19fc2731e2d14c7db0fd90b7fe1fa8802d0f4a6547561f4138b47b66d8a28d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.02589",
    "kind": "arxiv",
    "version": 3
  }
}