Pith Number

pith:WEXFQ4J5

pith:2025:WEXFQ4J56Q2IFJN3F2K2EGLGIX

not attested not anchored not stored refs pending

Critical Point Processes Obtained from a Gaussian Random Field with a View Towards Statistics

Jean-Fran\c{c}ois Coeurjolly (LJK, Julien Chevallier (SVH, LJK), Rasmus Waagepetersen, SVH)

arxiv:2507.04753 v1 · 2025-07-07 · 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{WEXFQ4J56Q2IFJN3F2K2EGLGIX}

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	2026-07-05T11:32:53.520602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12e58713df43482a5bb2e95a2196645fd50dff155ce80b13df8d57ef891d615

Aliases

arxiv: 2507.04753 · arxiv_version: 2507.04753v1 · doi: 10.48550/arxiv.2507.04753 · pith_short_12: WEXFQ4J56Q2I · pith_short_16: WEXFQ4J56Q2IFJN3 · pith_short_8: WEXFQ4J5

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/WEXFQ4J56Q2IFJN3F2K2EGLGIX \
  | 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: b12e58713df43482a5bb2e95a2196645fd50dff155ce80b13df8d57ef891d615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53aa7ba6f77dd643e43d54019f5d58daa5f724bda7d2e52fcb3dd624dda7bff",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-07T08:29:16Z",
    "title_canon_sha256": "0728239f37fa1f2610bbcf6e3946bdf143a36248ee1cb1f5134e2f276f9f177e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04753",
    "kind": "arxiv",
    "version": 1
  }
}