Pith Number

pith:GBHRQ7C4

pith:2026:GBHRQ7C4DPHCXJPL7X3TOMU5GZ

not attested not anchored not stored refs pending

On Kazhdan--Lusztig basis elements having no reversal factorization

Ben Spahiu, Jiayuan Wang, Mark Skandera, Tommy Parisi

arxiv:2605.21733 v1 · 2026-05-20 · 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{GBHRQ7C4DPHCXJPL7X3TOMU5GZ}

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	2026-05-22T01:03:29.814584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304f187c5c1bce2ba5ebfdf737329d3671e86f0f50cc8c60c1be8e4db42ac0f9

Aliases

arxiv: 2605.21733 · arxiv_version: 2605.21733v1 · doi: 10.48550/arxiv.2605.21733 · pith_short_12: GBHRQ7C4DPHC · pith_short_16: GBHRQ7C4DPHCXJPL · pith_short_8: GBHRQ7C4

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/GBHRQ7C4DPHCXJPL7X3TOMU5GZ \
  | 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: 304f187c5c1bce2ba5ebfdf737329d3671e86f0f50cc8c60c1be8e4db42ac0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b695070afa6f57d67782b76620f75a48e867017524ac2e3f7cb135b72e98e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T20:48:39Z",
    "title_canon_sha256": "9e52ff197f56adb20b513dc404025f360d375011ee2e6e14f228538c8ef3d93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21733",
    "kind": "arxiv",
    "version": 1
  }
}