Pith Number

pith:ZTE2JOPL

pith:2021:ZTE2JOPL7QCZWINNQYRAFO5B54

not attested not anchored not stored refs pending

Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension

Eva Kopfer, Karl-Theodor Sturm, Lorenzo Dello Schiavo, Ronan Herry

arxiv:2105.13925 v4 · 2021-05-28 · 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{ZTE2JOPL7QCZWINNQYRAFO5B54}

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.

Cited by

1 paper in Pith

M\"obius randomness in the Hartle-Hawking state

Receipt and verification

First computed	2026-07-05T11:37:05.624612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc9a4b9ebfc059b21ad862202bba1ef0a8ff742864ec3624fbadcef7aa8a437

Aliases

arxiv: 2105.13925 · arxiv_version: 2105.13925v4 · doi: 10.48550/arxiv.2105.13925 · pith_short_12: ZTE2JOPL7QCZ · pith_short_16: ZTE2JOPL7QCZWINN · pith_short_8: ZTE2JOPL

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/ZTE2JOPL7QCZWINNQYRAFO5B54 \
  | 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: ccc9a4b9ebfc059b21ad862202bba1ef0a8ff742864ec3624fbadcef7aa8a437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318682569e59141b8e4a384b33b78def26d016fa9d4fffbf88c7c99634c9abca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-28T15:40:23Z",
    "title_canon_sha256": "59a85216b2706bccf48dd48751407a7210bf3676603b29553fe0363bfde0bda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13925",
    "kind": "arxiv",
    "version": 4
  }
}