Pith Number

pith:LQO4ZUNU

pith:2018:LQO4ZUNU5KTP6Z7FJ2GAGJZ5GY

not attested not anchored not stored refs pending

Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization

Manal Alshuqayr, Toshiki Nakashima

arxiv:1807.11081 v2 · 2018-07-29 · 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{LQO4ZUNU5KTP6Z7FJ2GAGJZ5GY}

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	2026-05-18T00:08:14.330388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1dccd1b4eaa6ff67e54e8c03273d3603a14a3f0af2b0fc74bca7f5c04384e9

Aliases

arxiv: 1807.11081 · arxiv_version: 1807.11081v2 · doi: 10.48550/arxiv.1807.11081 · pith_short_12: LQO4ZUNU5KTP · pith_short_16: LQO4ZUNU5KTP6Z7F · pith_short_8: LQO4ZUNU

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/LQO4ZUNU5KTP6Z7FJ2GAGJZ5GY \
  | 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: 5c1dccd1b4eaa6ff67e54e8c03273d3603a14a3f0af2b0fc74bca7f5c04384e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3106a78bcd6ffe95c1c795d0c7c52a5da28e5445d394187e4ed8d2f6d48876",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-29T16:42:19Z",
    "title_canon_sha256": "96719942daee0827b6cf861ddbdc5849db626c3332ccc26552d3f4ee3515c647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11081",
    "kind": "arxiv",
    "version": 2
  }
}