Pith Number

pith:56K6THIS

pith:2026:56K6THISXLXXGUOILEYKF3PFNT

not attested not anchored not stored refs pending

Relations between categorifications of higher-dimensional type $A$ cluster combinatorics

Mikhail Gorsky, Nicholas J. Williams

arxiv:2605.27263 v1 · 2026-05-26 · math.RT · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56K6THISXLXXGUOILEYKF3PFNT}

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	2026-05-27T02:06:08.897990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef95e99d12baef7351c85930a2ede56cf570c64e813d77985256ee68b27b23aa

Aliases

arxiv: 2605.27263 · arxiv_version: 2605.27263v1 · doi: 10.48550/arxiv.2605.27263 · pith_short_12: 56K6THISXLXX · pith_short_16: 56K6THISXLXXGUOI · pith_short_8: 56K6THIS

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/56K6THISXLXXGUOILEYKF3PFNT \
  | 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: ef95e99d12baef7351c85930a2ede56cf570c64e813d77985256ee68b27b23aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b730f90e3be49080f15a7b23303d5d2cd116290a13029ed98f6254a80272b295",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-26T16:40:22Z",
    "title_canon_sha256": "399f49998d103e7ed7c7c4e8c6d68ccbcb0841b9880fd04ee46eef363e4d0340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27263",
    "kind": "arxiv",
    "version": 1
  }
}