Pith Number

pith:QOGJ32KO

pith:2010:QOGJ32KOQYSQZZ5MGWTZ4SOODF

not attested not anchored not stored refs pending

Partitions, rooks, and symmetric functions in noncommuting variables

Bruce E. Sagan, Mahir Bilen Can

arxiv:1008.2950 v1 · 2010-08-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOGJ32KOQYSQZZ5MGWTZ4SOODF}

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	2026-05-18T04:42:04.082985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838c9de94e86250ce7ac35a79e49ce197732071b582b4fea175b71007a04ba36

Aliases

arxiv: 1008.2950 · arxiv_version: 1008.2950v1 · doi: 10.48550/arxiv.1008.2950 · pith_short_12: QOGJ32KOQYSQ · pith_short_16: QOGJ32KOQYSQZZ5M · pith_short_8: QOGJ32KO

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/QOGJ32KOQYSQZZ5MGWTZ4SOODF \
  | 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: 838c9de94e86250ce7ac35a79e49ce197732071b582b4fea175b71007a04ba36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecf5328e8c6f3229eac841896b06efacdf6fafd2463299480eeba17327c1f52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-17T19:23:18Z",
    "title_canon_sha256": "5b9ab5d542c2c71c2584f1a015b782e08950f5529d6594c854ff7fa0172335b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2950",
    "kind": "arxiv",
    "version": 1
  }
}