Pith Number

pith:SFIRO2DY

pith:2008:SFIRO2DYTVSSSEJ6CEJSEDKML5

not attested not anchored not stored refs pending

A non-commutative generalization of $k$-Schur functions

F. Descouens, M. Zabrocki, N. Bergeron

arxiv:0804.0944 v1 · 2008-04-07 · 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{SFIRO2DYTVSSSEJ6CEJSEDKML5}

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	2026-05-18T01:00:10.762694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91511768789d6529113e1113220d4c5f78c825f1b2183b056c3dac63026f93a3

Aliases

arxiv: 0804.0944 · arxiv_version: 0804.0944v1 · doi: 10.48550/arxiv.0804.0944 · pith_short_12: SFIRO2DYTVSS · pith_short_16: SFIRO2DYTVSSSEJ6 · pith_short_8: SFIRO2DY

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/SFIRO2DYTVSSSEJ6CEJSEDKML5 \
  | 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: 91511768789d6529113e1113220d4c5f78c825f1b2183b056c3dac63026f93a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5a7e28cc717b8952508be66fa65e7f05adb779b5fb6ca7d7b6c57790a3de79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-07T01:10:12Z",
    "title_canon_sha256": "9bf18358055a824d282b112448ccc5a4211784c6a3711742b605d000364a3f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0944",
    "kind": "arxiv",
    "version": 1
  }
}