Pith Number

pith:XB7VKXLL

pith:2013:XB7VKXLLKDBXU2B4GP2Y3PEW5Y

not attested not anchored not stored refs pending

The immaculate basis of the non-commutative symmetric functions

Chris Berg, Franco Saliola, Luis Serrano, Mike Zabrocki, Nantel Bergeron

arxiv:1303.4801 v1 · 2013-03-20 · 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{XB7VKXLLKDBXU2B4GP2Y3PEW5Y}

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	2026-05-18T03:30:24.815071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87f555d6b50c37a683c33f58dbc96ee249ddbf4c2447554e807f6fc46e90f4f

Aliases

arxiv: 1303.4801 · arxiv_version: 1303.4801v1 · doi: 10.48550/arxiv.1303.4801 · pith_short_12: XB7VKXLLKDBX · pith_short_16: XB7VKXLLKDBXU2B4 · pith_short_8: XB7VKXLL

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/XB7VKXLLKDBXU2B4GP2Y3PEW5Y \
  | 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: b87f555d6b50c37a683c33f58dbc96ee249ddbf4c2447554e807f6fc46e90f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e7f9c2762f2eb0a07b0be4da0838530084a2168eaef78bb9cf5713af753a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-20T00:37:12Z",
    "title_canon_sha256": "f2acc54023b9290225f649d7823bc64b427ffa315c23b05c95b2f4396f99926a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4801",
    "kind": "arxiv",
    "version": 1
  }
}