Pith Number

pith:LAT2L37D

pith:2018:LAT2L37DEDTJJTRLSSPKSR7DWV

not attested not anchored not stored refs pending

On permutations of $\{1,\ldots,n\}$ and related topics

Zhi-Wei Sun

arxiv:1811.10503 v6 · 2018-11-26 · 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{LAT2L37DEDTJJTRLSSPKSR7DWV}

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	2026-07-05T02:25:58.503306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5827a5efe320e694ce2b949ea947e3b5762603a367e4ae75c5b9d08e2118b8bc

Aliases

arxiv: 1811.10503 · arxiv_version: 1811.10503v6 · doi: 10.48550/arxiv.1811.10503 · pith_short_12: LAT2L37DEDTJ · pith_short_16: LAT2L37DEDTJJTRL · pith_short_8: LAT2L37D

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/LAT2L37DEDTJJTRLSSPKSR7DWV \
  | 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: 5827a5efe320e694ce2b949ea947e3b5762603a367e4ae75c5b9d08e2118b8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3725483bca2d3824ae2aa330a94a57fb258b0fd0aeeee821e2d604bfb86f82ae",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-26T16:56:03Z",
    "title_canon_sha256": "a9034b0409c9ceddd70c7544c60485934640e7d60ea6a830953562a6c272d35d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10503",
    "kind": "arxiv",
    "version": 6
  }
}