Pith Number

pith:I7HXEFU4

pith:2022:I7HXEFU4KM74IJ7ARBYZFK5LZF

not attested not anchored not stored refs pending

Calculating the $p$-canonical basis of Hecke algebras

Geordie Williamson, Joel Gibson, Lars Thorge Jensen

arxiv:2204.04924 v2 · 2022-04-11 · 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{I7HXEFU4KM74IJ7ARBYZFK5LZF}

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.

Cited by

1 paper in Pith

Idempotents, traces, and dimensions in Hecke categories

Receipt and verification

First computed	2026-07-05T04:45:00.999780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cf72169c533fc427e0887192ababc97b40667e9d51ecdcd9b3b7730fd47e71

Aliases

arxiv: 2204.04924 · arxiv_version: 2204.04924v2 · doi: 10.48550/arxiv.2204.04924 · pith_short_12: I7HXEFU4KM74 · pith_short_16: I7HXEFU4KM74IJ7A · pith_short_8: I7HXEFU4

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/I7HXEFU4KM74IJ7ARBYZFK5LZF \
  | 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: 47cf72169c533fc427e0887192ababc97b40667e9d51ecdcd9b3b7730fd47e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b1a40d105ec9a682671d1c819728a93a944e9a349ae203499da278c9ce7645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-04-11T07:52:38Z",
    "title_canon_sha256": "8a5acfda9edd5983e8427223c274f38954539cd888ee9b50ac3843e1bcbb5a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04924",
    "kind": "arxiv",
    "version": 2
  }
}