Pith Number

pith:4XII7VUR

pith:2026:4XII7VURPUWF6VWISVC24DQW3W

not attested not anchored not stored refs pending

Fukaya categories of Coulomb branches as unique deformations

Jasper van de Kreeke

arxiv:2607.00146 v1 · 2026-06-30 · math.RT · math.RA · 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{4XII7VURPUWF6VWISVC24DQW3W}

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	2026-07-02T00:18:36.523983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d08fd6917d2c5f56c89545ae0e16ddb8ee8842b5cb0b83228af30f997d292f

Aliases

arxiv: 2607.00146 · arxiv_version: 2607.00146v1 · doi: 10.48550/arxiv.2607.00146 · pith_short_12: 4XII7VURPUWF · pith_short_16: 4XII7VURPUWF6VWI · pith_short_8: 4XII7VUR

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/4XII7VURPUWF6VWISVC24DQW3W \
  | 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: e5d08fd6917d2c5f56c89545ae0e16ddb8ee8842b5cb0b83228af30f997d292f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db9245f6e5c7d092e9a45a4cd52bb5d1e62043ac004fbc20544d53bf34df7a0",
    "cross_cats_sorted": [
      "math.RA",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-30T20:25:00Z",
    "title_canon_sha256": "9cfb8b43cb4fb8dd0eb657d8911ba0f83e3c3c941a332cc7e83059e58b4d38f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00146",
    "kind": "arxiv",
    "version": 1
  }
}