Pith Number

pith:P635PWPB

pith:2011:P635PWPB6VXTMLD42WY2KBWVFJ

not attested not anchored not stored refs pending

Multiplicity free Schur, skew Schur, and quasisymmetric Schur functions

Christine Bessenrodt, Stephanie van Willigenburg

arxiv:1105.4212 v2 · 2011-05-21 · 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{P635PWPB6VXTMLD42WY2KBWVFJ}

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	2026-05-18T03:00:50.076845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb7d7d9e1f56f362c7cd5b1a506d52a4b5c02da1e510739b634ee4a0d84ec81

Aliases

arxiv: 1105.4212 · arxiv_version: 1105.4212v2 · doi: 10.48550/arxiv.1105.4212 · pith_short_12: P635PWPB6VXT · pith_short_16: P635PWPB6VXTMLD4 · pith_short_8: P635PWPB

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/P635PWPB6VXTMLD42WY2KBWVFJ \
  | 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: 7fb7d7d9e1f56f362c7cd5b1a506d52a4b5c02da1e510739b634ee4a0d84ec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a624d9dc8ebd6e2866ba8679c6c1e8fa223980f617432e10a87ed7717b9607f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-21T04:13:26Z",
    "title_canon_sha256": "c173c090cd2f760e34a76a4526ac0d89d40cc68dfedc3592cfca04879704a9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4212",
    "kind": "arxiv",
    "version": 2
  }
}