Pith Number

pith:QGL4OM5A

pith:2010:QGL4OM5AQSKYRDYST5A7B46IIM

not attested not anchored not stored refs pending

A plactic algebra of extremal weight crystals and the Cauchy identity for Schur operators

Jae-Hoon Kwon

arxiv:1007.0820 v1 · 2010-07-06 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGL4OM5AQSKYRDYST5A7B46IIM}

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	2026-05-18T02:30:01.536377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8197c733a08495888f129f41f0f3c84303f638d29e4b9824e15ead3f95ddbe11

Aliases

arxiv: 1007.0820 · arxiv_version: 1007.0820v1 · doi: 10.48550/arxiv.1007.0820 · pith_short_12: QGL4OM5AQSKY · pith_short_16: QGL4OM5AQSKYRDYS · pith_short_8: QGL4OM5A

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/QGL4OM5AQSKYRDYST5A7B46IIM \
  | 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: 8197c733a08495888f129f41f0f3c84303f638d29e4b9824e15ead3f95ddbe11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa513de4d0e54af60d43cfe06c1cf8b7c60c3bca38c85c4a3893bc46e2ff4726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-06T07:11:07Z",
    "title_canon_sha256": "fa192292920f6a34e10250a75b4208883ebec66c151db7d9202794969febe5cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0820",
    "kind": "arxiv",
    "version": 1
  }
}