Pith Number

pith:S2FEIA32

pith:2015:S2FEIA326CDVILDXWNBXIBLN62

not attested not anchored not stored refs pending

Expected Number and Height Distribution of Critical Points of Smooth Isotropic Gaussian Random Fields

Armin Schwartzman, Dan Cheng

arxiv:1511.06835 v3 · 2015-11-21 · 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{S2FEIA326CDVILDXWNBXIBLN62}

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	2026-05-18T01:04:28.309121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968a44037af087542c77b34374056df6a28f1d79c5e78b609bf3ca2566e341e7

Aliases

arxiv: 1511.06835 · arxiv_version: 1511.06835v3 · doi: 10.48550/arxiv.1511.06835 · pith_short_12: S2FEIA326CDV · pith_short_16: S2FEIA326CDVILDX · pith_short_8: S2FEIA32

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/S2FEIA326CDVILDXWNBXIBLN62 \
  | 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: 968a44037af087542c77b34374056df6a28f1d79c5e78b609bf3ca2566e341e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0166fc34d1bc15de5482b196fe1c167a98cf47e79c373229e025484f06d1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-21T04:44:50Z",
    "title_canon_sha256": "ac6e36c1b6f0683e1a6b8e61ae2d4beafd15f03d3a418ef807e3e4546420f38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06835",
    "kind": "arxiv",
    "version": 3
  }
}