Pith Number

pith:DXKLYC62

pith:2026:DXKLYC62L4QO7EEXTZG26DGEI6

not attested not anchored not stored refs pending

Moment generating function of the tacnode process

Taiyang Xu

arxiv:2606.17771 v1 · 2026-06-16 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXKLYC62L4QO7EEXTZG26DGEI6}

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	2026-06-19T16:10:21.347141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd4bc0bda5f20ef90979e4daf0cc447905459fe175c5ab6f247113d018d9a9c

Aliases

arxiv: 2606.17771 · arxiv_version: 2606.17771v1 · doi: 10.48550/arxiv.2606.17771 · pith_short_12: DXKLYC62L4QO · pith_short_16: DXKLYC62L4QO7EEX · pith_short_8: DXKLYC62

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/DXKLYC62L4QO7EEXTZG26DGEI6 \
  | 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: 1dd4bc0bda5f20ef90979e4daf0cc447905459fe175c5ab6f247113d018d9a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536193073fe952b7bf7490e7286324e2e727f6f495b0de45eefd8ae6b9851380",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-16T10:44:55Z",
    "title_canon_sha256": "350011fa5ede0e9bc405b725c87b275249fdc02ae247997fc193ee7862e8ced3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17771",
    "kind": "arxiv",
    "version": 1
  }
}