Pith Number

pith:RRKE4LJB

pith:2013:RRKE4LJBCAOG4NXBUS3S4KXTCW

not attested not anchored not stored refs pending

Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials

Alan J.X. Guo, Harry H.Y. Huang, Michael X.X. Zhong, Neil J.Y. Fan, Peter L. Guo, William Y.C. Chen

arxiv:1304.0061 v1 · 2013-03-30 · 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{RRKE4LJBCAOG4NXBUS3S4KXTCW}

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	2026-05-18T03:29:26.154546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c544e2d21101c6e36e1a4b72e2af315bf1841e3f539f4ce727835d521bf52c8

Aliases

arxiv: 1304.0061 · arxiv_version: 1304.0061v1 · doi: 10.48550/arxiv.1304.0061 · pith_short_12: RRKE4LJBCAOG · pith_short_16: RRKE4LJBCAOG4NXB · pith_short_8: RRKE4LJB

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/RRKE4LJBCAOG4NXBUS3S4KXTCW \
  | 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: 8c544e2d21101c6e36e1a4b72e2af315bf1841e3f539f4ce727835d521bf52c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce81ae58cfd572d42d2dcbf0c323191288d762ea06f97df989be10b1727024f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-30T02:19:15Z",
    "title_canon_sha256": "75d7ad2e1f1016080319e2777ab54663bf19205b79b5439dcb74837734592ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0061",
    "kind": "arxiv",
    "version": 1
  }
}