Pith Number

pith:Z2FHVNE5

pith:2015:Z2FHVNE54OVS7NH3BQIEV2H6PZ

not attested not anchored not stored refs pending

A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2

Xun Xie

arxiv:1509.05991 v1 · 2015-09-20 · 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{Z2FHVNE54OVS7NH3BQIEV2H6PZ}

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	2026-05-18T01:32:36.147187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8a7ab49de3ab2fb4fb0c104ae8fe7e596cb7a8a6d88a2c6f2405901b626e0e

Aliases

arxiv: 1509.05991 · arxiv_version: 1509.05991v1 · doi: 10.48550/arxiv.1509.05991 · pith_short_12: Z2FHVNE54OVS · pith_short_16: Z2FHVNE54OVS7NH3 · pith_short_8: Z2FHVNE5

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/Z2FHVNE54OVS7NH3BQIEV2H6PZ \
  | 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: ce8a7ab49de3ab2fb4fb0c104ae8fe7e596cb7a8a6d88a2c6f2405901b626e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1989a074a8ec9cbb19f5da3d2910e3471f83b5be199e0bfb7d8bdb75aa6e621c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-20T10:16:26Z",
    "title_canon_sha256": "8c1ff3b2647990a7c8d9608daec8936955acbda2388b336af110ecebd90a9feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05991",
    "kind": "arxiv",
    "version": 1
  }
}