Pith Number

pith:XVRXOJPB

pith:2026:XVRXOJPBLGTXHFYQH2A4R3LMIG

not attested not anchored not stored refs pending

A survey of character sheaves

G. Lusztig

arxiv:2606.13545 v1 · 2026-06-11 · 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{XVRXOJPBLGTXHFYQH2A4R3LMIG}

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	2026-06-12T01:10:09.501940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6

Aliases

arxiv: 2606.13545 · arxiv_version: 2606.13545v1 · doi: 10.48550/arxiv.2606.13545 · pith_short_12: XVRXOJPBLGTX · pith_short_16: XVRXOJPBLGTXHFYQ · pith_short_8: XVRXOJPB

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/XVRXOJPBLGTXHFYQH2A4R3LMIG \
  | 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: bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cfc6dbcebed951a6a2fc27a90fa1d422aff8939ed3bd5f307f269b08c80e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-11T16:28:22Z",
    "title_canon_sha256": "154cca1ce6037f06455ff19552b9794ebb986a31e39ffd7809503a76221235db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13545",
    "kind": "arxiv",
    "version": 1
  }
}