Pith Number

pith:AYY4EPQP

pith:2013:AYY4EPQPJ4SQCD26NROBRSU6YE

not attested not anchored not stored refs pending

Crystal Structure on the Category of Modules over Colored Planar Rook Algebra

Bin Li

arxiv:1303.0410 v1 · 2013-03-02 · 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{AYY4EPQPJ4SQCD26NROBRSU6YE}

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	2026-05-18T03:31:56.173367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0631c23e0f4f25010f5e6c5c18ca9ec11d4c42e23b70ddcd11ce8b2003b20236

Aliases

arxiv: 1303.0410 · arxiv_version: 1303.0410v1 · doi: 10.48550/arxiv.1303.0410 · pith_short_12: AYY4EPQPJ4SQ · pith_short_16: AYY4EPQPJ4SQCD26 · pith_short_8: AYY4EPQP

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/AYY4EPQPJ4SQCD26NROBRSU6YE \
  | 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: 0631c23e0f4f25010f5e6c5c18ca9ec11d4c42e23b70ddcd11ce8b2003b20236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a11425d57018c149df9b7e6a696ba0401ca6d01e0781a38564c91e2198b898a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-02T18:06:44Z",
    "title_canon_sha256": "dc1af3a658854e495fcc9d46f57f3240e6e33f0e697595d7d627fd738540dd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0410",
    "kind": "arxiv",
    "version": 1
  }
}