Pith Number

pith:XXXOGSWD

pith:2015:XXXOGSWDJVGEMMRYWHQH4LHSIU

not attested not anchored not stored refs pending

Hecke algebras with unequal parameters and Vogan's left cell invariants

C\'edric Bonnaf\'e (I3M), Meinolf Geck

arxiv:1502.01661 v1 · 2015-02-05 · 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{XXXOGSWDJVGEMMRYWHQH4LHSIU}

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	2026-05-18T02:27:51.600547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdeee34ac34d4c463238b1e07e2cf24519a658f0ee65d83fa179cdfd6ef6c7e9

Aliases

arxiv: 1502.01661 · arxiv_version: 1502.01661v1 · doi: 10.48550/arxiv.1502.01661 · pith_short_12: XXXOGSWDJVGE · pith_short_16: XXXOGSWDJVGEMMRY · pith_short_8: XXXOGSWD

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/XXXOGSWDJVGEMMRYWHQH4LHSIU \
  | 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: bdeee34ac34d4c463238b1e07e2cf24519a658f0ee65d83fa179cdfd6ef6c7e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1910269d56b5d5ed5436ba4946d5dfc60ff3d562458f95f90a5f63827dfed9d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-05T18:04:26Z",
    "title_canon_sha256": "0c38c24f55f93d17a3c7da3ea8275595bf680bba148179bfa987d5f66f5b1353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01661",
    "kind": "arxiv",
    "version": 1
  }
}