Pith Number

pith:YQWIZJ6C

pith:2015:YQWIZJ6CQLZIWSTTP2VMF5SFSK

not attested not anchored not stored refs pending

Excursion Probabilities of Isotropic and Locally Isotropic Gaussian Random Fields on Manifolds

Dan Cheng

arxiv:1504.08047 v2 · 2015-04-29 · 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{YQWIZJ6CQLZIWSTTP2VMF5SFSK}

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	2026-05-18T02:17:10.690953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42c8ca7c282f28b4a737eaac2f645928e3c03d9b24268dc8c177094028d0d81

Aliases

arxiv: 1504.08047 · arxiv_version: 1504.08047v2 · doi: 10.48550/arxiv.1504.08047 · pith_short_12: YQWIZJ6CQLZI · pith_short_16: YQWIZJ6CQLZIWSTT · pith_short_8: YQWIZJ6C

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/YQWIZJ6CQLZIWSTTP2VMF5SFSK \
  | 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: c42c8ca7c282f28b4a737eaac2f645928e3c03d9b24268dc8c177094028d0d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1be0158381b1c1601abdc84431751057d8ff4c7557bb8b1a42f46a619a0e30d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-29T23:21:41Z",
    "title_canon_sha256": "6109fcfd648be97134027468fcd63d375be2cae18ff12a6deb8be10ab9e3a509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08047",
    "kind": "arxiv",
    "version": 2
  }
}