Pith Number

pith:CU2RY23F

pith:2018:CU2RY23FL2FMBJSUTUXIWGOR3Z

not attested not anchored not stored refs pending

Parity sheaves and the Hecke category

Geordie Williamson

arxiv:1801.00896 v1 · 2018-01-03 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU2RY23FL2FMBJSUTUXIWGOR3Z}

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	2026-05-18T00:26:48.488821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15351c6b655e8ac0a6549d2e8b19d1de60c259c53a0f250523f9889b2f5a4434

Aliases

arxiv: 1801.00896 · arxiv_version: 1801.00896v1 · doi: 10.48550/arxiv.1801.00896 · pith_short_12: CU2RY23FL2FM · pith_short_16: CU2RY23FL2FMBJSU · pith_short_8: CU2RY23F

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/CU2RY23FL2FMBJSUTUXIWGOR3Z \
  | 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: 15351c6b655e8ac0a6549d2e8b19d1de60c259c53a0f250523f9889b2f5a4434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4abce4b3e625be095a3b1a02d9b6b7f2e4f5540b99e4f442ad3af72941cde9d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-01-03T04:53:56Z",
    "title_canon_sha256": "1075ed9c219367d93c3c4e7ba4213976bb323be3d0fd918a427bd0e538c34758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00896",
    "kind": "arxiv",
    "version": 1
  }
}