Pith Number

pith:3VW2WH5Z

pith:2013:3VW2WH5Z4G7SUMIYSNEDM2F4YI

not attested not anchored not stored refs pending

Quantum Lakshmibai-Seshadri paths and root operators

Anne Schilling, Cristian Lenart, Daisuke Sagaki, Mark Shimozono, Satoshi Naito

arxiv:1308.3529 v2 · 2013-08-16 · math.QA · 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{3VW2WH5Z4G7SUMIYSNEDM2F4YI}

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	2026-05-18T00:49:52.900273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6dab1fb9e1bf2a311893483668bcc22e98955c1c15ff7191311c36df1ff731

Aliases

arxiv: 1308.3529 · arxiv_version: 1308.3529v2 · doi: 10.48550/arxiv.1308.3529 · pith_short_12: 3VW2WH5Z4G7S · pith_short_16: 3VW2WH5Z4G7SUMIY · pith_short_8: 3VW2WH5Z

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/3VW2WH5Z4G7SUMIYSNEDM2F4YI \
  | 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: dd6dab1fb9e1bf2a311893483668bcc22e98955c1c15ff7191311c36df1ff731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "635d36e628c832a05348eae6023ef52085fd7066b638ab6ea4fdf90c01309dee",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-16T00:46:38Z",
    "title_canon_sha256": "d73b357ec1009e9c8962d9d4df35d5adaa6116725d26df15317306644591a586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3529",
    "kind": "arxiv",
    "version": 2
  }
}