Pith Number

pith:VMIYFJQW

pith:2022:VMIYFJQW652G3WPS6WLT44PYOV

not attested not anchored not stored refs pending

What is a combinatorial interpretation?

Igor Pak

arxiv:2209.06142 v1 · 2022-09-13 · math.CO · cs.CC · 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{VMIYFJQW652G3WPS6WLT44PYOV}

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.

Cited by

1 paper in Pith

An introduction to the symmetric group algebra

Receipt and verification

First computed	2026-07-05T04:57:20.448780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1182a616f7746dd9f2f5973e71f8754091dc65eb69c7afaa7245de08b3a9ed

Aliases

arxiv: 2209.06142 · arxiv_version: 2209.06142v1 · doi: 10.48550/arxiv.2209.06142 · pith_short_12: VMIYFJQW652G · pith_short_16: VMIYFJQW652G3WPS · pith_short_8: VMIYFJQW

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/VMIYFJQW652G3WPS6WLT44PYOV \
  | 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: ab1182a616f7746dd9f2f5973e71f8754091dc65eb69c7afaa7245de08b3a9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2dfc43734b1ee99aa2e9eceab379dd280eb2fc45da9655e33437a2f6600200c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-13T16:31:46Z",
    "title_canon_sha256": "cd4f93d28821b27f7fa6cdc75a00ef4f6bdeb29e08f7f843c3d9b0b7190897fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06142",
    "kind": "arxiv",
    "version": 1
  }
}