Pith Number

pith:BY4UQLII

pith:2026:BY4UQLIIDTZRFCVKQJANL6XJ3C

not attested not anchored not stored refs pending

Categorical Lusztig cycles and weave schobers

Merlin Christ, Roger Casals

arxiv:2605.22440 v1 · 2026-05-21 · math.RT · math.CO · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY4UQLIIDTZRFCVKQJANL6XJ3C}

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	2026-05-22T01:04:43.122973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e39482d081cf3128aaa8240d5fae9d8a79978c4b61d7a158e295133f5305c9e

Aliases

arxiv: 2605.22440 · arxiv_version: 2605.22440v1 · doi: 10.48550/arxiv.2605.22440 · pith_short_12: BY4UQLIIDTZR · pith_short_16: BY4UQLIIDTZRFCVK · pith_short_8: BY4UQLII

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/BY4UQLIIDTZRFCVKQJANL6XJ3C \
  | 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: 0e39482d081cf3128aaa8240d5fae9d8a79978c4b61d7a158e295133f5305c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e342d75493e0217346ce8d39d6232abe7b4e16716948227d30155bc0dd32ebc",
    "cross_cats_sorted": [
      "math.CO",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-21T13:10:35Z",
    "title_canon_sha256": "57fd35d8037704e675c36f9f614698c57ec0337d80bf9c3bfa058e96fee4dda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22440",
    "kind": "arxiv",
    "version": 1
  }
}