Pith Number

pith:OYGT3MOJ

pith:2013:OYGT3MOJ2DAWYHQ2IELVKROVIO

not attested not anchored not stored refs pending

A Class of Kazhdan-Lusztig R-Polynomials and q-Fibonacci Numbers

Michael X.X. Zhong, Neil J.Y. Fan, Peter L. Guo, William Y.C. Chen

arxiv:1312.2170 v1 · 2013-12-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYGT3MOJ2DAWYHQ2IELVKROVIO}

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	2026-05-18T03:05:11.062191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

760d3db1c9d0c16c1e1a41175545d543b93a2033ae2fc37a5d66a6487d5b8aa9

Aliases

arxiv: 1312.2170 · arxiv_version: 1312.2170v1 · doi: 10.48550/arxiv.1312.2170 · pith_short_12: OYGT3MOJ2DAW · pith_short_16: OYGT3MOJ2DAWYHQ2 · pith_short_8: OYGT3MOJ

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/OYGT3MOJ2DAWYHQ2IELVKROVIO \
  | 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: 760d3db1c9d0c16c1e1a41175545d543b93a2033ae2fc37a5d66a6487d5b8aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a3d7ae7c0f7ef94050bef0d475ac53b4b5ec19d5860052f914fe60fae8d387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-08T03:39:09Z",
    "title_canon_sha256": "7b2dce614624400cb83892afebbe85e739d35311dda9f4662f4d7bd444a76d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2170",
    "kind": "arxiv",
    "version": 1
  }
}