Pith Number

pith:U5W6AQZB

pith:2026:U5W6AQZBRWEF6CQ43FLGI4ATAC

not attested not anchored not stored refs pending

Hives from deformed GUE minor processes

Hariharan Narayanan

arxiv:2607.04138 v1 · 2026-07-05 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5W6AQZBRWEF6CQ43FLGI4ATAC}

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	2026-07-07T02:18:59.191204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76de043218d885f0a1cd95664701300aa6630e7de18cb678d68660bf5241813

Aliases

arxiv: 2607.04138 · arxiv_version: 2607.04138v1 · doi: 10.48550/arxiv.2607.04138 · pith_short_12: U5W6AQZBRWEF · pith_short_16: U5W6AQZBRWEF6CQ4 · pith_short_8: U5W6AQZB

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/U5W6AQZBRWEF6CQ43FLGI4ATAC \
  | 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: a76de043218d885f0a1cd95664701300aa6630e7de18cb678d68660bf5241813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adec9f12636130e2c2784f1270d990f7587f5be362389ae4a6b590b4da495066",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-05T06:43:45Z",
    "title_canon_sha256": "a94955b1fe9cd27621406b8116d630f5a0cc8d44285d639ac71e94073f26d52c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04138",
    "kind": "arxiv",
    "version": 1
  }
}