Pith Number

pith:AUWHDF7S

pith:2026:AUWHDF7SDJGT5MYVDCFTZ37XQT

not attested not anchored not stored refs pending

Testing the mixture model hypothesis via spectral gap

Joe Kileel, March T. Boedihardjo, Vandy Tombs

arxiv:2603.03245 v2 · 2026-03-03 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUWHDF7SDJGT5MYVDCFTZ37XQT}

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	2026-05-26T01:02:32.637895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052c7197f21a4d3eb315188b3ceff784ff2da570e81514920097a978e7d606a7

Aliases

arxiv: 2603.03245 · arxiv_version: 2603.03245v2 · doi: 10.48550/arxiv.2603.03245 · pith_short_12: AUWHDF7SDJGT · pith_short_16: AUWHDF7SDJGT5MYV · pith_short_8: AUWHDF7S

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/AUWHDF7SDJGT5MYVDCFTZ37XQT \
  | 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: 052c7197f21a4d3eb315188b3ceff784ff2da570e81514920097a978e7d606a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d738f34e2a32274136fdb8a28b62ff1e9705a177aa0dfe99dcad7723a535f4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-03-03T18:37:53Z",
    "title_canon_sha256": "c15dd6e0de856a09a86dc8acb21f0d8a5028c6c553fb0f82093baadda64181c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03245",
    "kind": "arxiv",
    "version": 2
  }
}