Pith Number

pith:JQNBQ7AW

pith:2010:JQNBQ7AWAWJFC6MS7DQ7Z65QRC

not attested not anchored not stored refs pending

Skew quasisymmetric Schur functions and noncommutative Schur functions

Christine Bessenrodt, Kurt Luoto, Stephanie van Willigenburg

arxiv:1007.0994 v3 · 2010-07-06 · 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{JQNBQ7AWAWJFC6MS7DQ7Z65QRC}

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	2026-05-18T03:50:34.301263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1a187c160592517992f8e1fcfbb088b5d24410eb181163e3fdcedc5774967a

Aliases

arxiv: 1007.0994 · arxiv_version: 1007.0994v3 · doi: 10.48550/arxiv.1007.0994 · pith_short_12: JQNBQ7AWAWJF · pith_short_16: JQNBQ7AWAWJFC6MS · pith_short_8: JQNBQ7AW

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/JQNBQ7AWAWJFC6MS7DQ7Z65QRC \
  | 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: 4c1a187c160592517992f8e1fcfbb088b5d24410eb181163e3fdcedc5774967a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f209c7a900bfdd8dc223d369693bfdb353afebb14b41336937b4bab2284c2802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-06T20:01:31Z",
    "title_canon_sha256": "29a3ab245b0e19a0ed9700061de4669a41d107fd048470fb5ecbe5f8b2c6c108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0994",
    "kind": "arxiv",
    "version": 3
  }
}