Pith Number

pith:CZUE2YYM

pith:2018:CZUE2YYMF3NIOCY5MNABXZRCK2

not attested not anchored not stored refs pending

Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths

Daisuke Sagaki, Fumihiko Nomoto, Satoshi Naito

arxiv:1803.01727 v1 · 2018-03-02 · 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{CZUE2YYMF3NIOCY5MNABXZRCK2}

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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	2026-05-18T00:21:59.727591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16684d630c2eda870b1d63401be6225685495dcf9a298b29d76621af2fd286f4

Aliases

arxiv: 1803.01727 · arxiv_version: 1803.01727v1 · doi: 10.48550/arxiv.1803.01727 · pith_short_12: CZUE2YYMF3NI · pith_short_16: CZUE2YYMF3NIOCY5 · pith_short_8: CZUE2YYM

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/CZUE2YYMF3NIOCY5MNABXZRCK2 \
  | 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: 16684d630c2eda870b1d63401be6225685495dcf9a298b29d76621af2fd286f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7015b04bd36782e2b4693f656b959a6ce2327ba0b03d6e88c9b466a2ff148e0e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-02T15:15:14Z",
    "title_canon_sha256": "701f17251bc3edb10ae16d1ac46efaeff4e3f5b8c1f27ba5eb885f31d07555cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01727",
    "kind": "arxiv",
    "version": 1
  }
}