Pith Number

pith:MNTJDRBA

pith:2013:MNTJDRBARIXGAZPQI5XQTV36GO

not attested not anchored not stored refs pending

On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomials

Jean-Christophe Novelli, Jean-Yves Thibon, Lenny Tevlin

arxiv:1304.6538 v1 · 2013-04-24 · 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{MNTJDRBARIXGAZPQI5XQTV36GO}

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	2026-05-18T03:27:12.787073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636691c4208a2e6065f0476f09d77e339f3658d69521821d67f4d5970b9f7531

Aliases

arxiv: 1304.6538 · arxiv_version: 1304.6538v1 · doi: 10.48550/arxiv.1304.6538 · pith_short_12: MNTJDRBARIXG · pith_short_16: MNTJDRBARIXGAZPQ · pith_short_8: MNTJDRBA

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/MNTJDRBARIXGAZPQI5XQTV36GO \
  | 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: 636691c4208a2e6065f0476f09d77e339f3658d69521821d67f4d5970b9f7531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202cfc3bede6f37b2ca275b18565936c8569d888d8b57da0380708f378585ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-24T10:16:00Z",
    "title_canon_sha256": "07bf634c2501bdae6f554812458207a12381bb6ff1cc15c8febcb50e0edd75cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6538",
    "kind": "arxiv",
    "version": 1
  }
}