Pith Number

pith:POATERDW

pith:2010:POATERDW2E2PSZGHE2IMFKXEDF

not attested not anchored not stored refs pending

Cohomological growth rates and Kazhdan-Lusztig polynomials

Brian Parshall, Leonard Scott

arxiv:1004.4013 v3 · 2010-04-22 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POATERDW2E2PSZGHE2IMFKXEDF}

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	2026-05-18T04:42:14.536683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b81324476d134f964c72690c2aae41958dbd438be7b15b998fe5c8368fa35e0

Aliases

arxiv: 1004.4013 · arxiv_version: 1004.4013v3 · doi: 10.48550/arxiv.1004.4013 · pith_short_12: POATERDW2E2P · pith_short_16: POATERDW2E2PSZGH · pith_short_8: POATERDW

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/POATERDW2E2PSZGHE2IMFKXEDF \
  | 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: 7b81324476d134f964c72690c2aae41958dbd438be7b15b998fe5c8368fa35e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d6fb78e2aaa9544ba6c3055dad602c4d30b4da515bc3142dbb412860ae61e9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-22T21:03:25Z",
    "title_canon_sha256": "0461562d24d87436fd49cc07e9e14866ce7e8b6768ff1449ef04ee35faffe14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4013",
    "kind": "arxiv",
    "version": 3
  }
}