Pith Number

pith:FRXTZAMR

pith:2014:FRXTZAMR4AATK2QIG5LLJG3HAJ

not attested not anchored not stored refs pending

On the capacity functional of excursion sets of Gaussian random fields on $\R^2$

Marie Kratz, Werner Nagel

arxiv:1410.7786 v1 · 2014-10-28 · 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{FRXTZAMR4AATK2QIG5LLJG3HAJ}

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	2026-05-18T02:39:08.199003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6f3c8191e001356a083756b49b67025c818f89c76771b5104a2a005b5b6d8c

Aliases

arxiv: 1410.7786 · arxiv_version: 1410.7786v1 · doi: 10.48550/arxiv.1410.7786 · pith_short_12: FRXTZAMR4AAT · pith_short_16: FRXTZAMR4AATK2QI · pith_short_8: FRXTZAMR

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/FRXTZAMR4AATK2QIG5LLJG3HAJ \
  | 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: 2c6f3c8191e001356a083756b49b67025c818f89c76771b5104a2a005b5b6d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02f2905d1ce691c34b60915ea66ae51b880e564114e3bdf6813664dc7144c79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-28T20:12:39Z",
    "title_canon_sha256": "be91cf52cea0b1e5ac6650e734f3e546fdf9b51407d679560928afde3e219f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7786",
    "kind": "arxiv",
    "version": 1
  }
}