Pith Number

pith:73D67PKQ

pith:2018:73D67PKQ55RY5GFH2KZDPD4LOC

not attested not anchored not stored refs pending

Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals

Bernard J.T. Jones, Changbom Park, Gert Vegter, Job Feldbrugge, Michael Kerber, Pratyush Pranav, Rien van de Weygaert, Robert J. Adler, Thomas Buchert

arxiv:1812.07310 v2 · 2018-12-18 · astro-ph.CO · astro-ph.IM · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73D67PKQ55RY5GFH2KZDPD4LOC}

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	2026-05-17T23:42:42.616042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec7efbd50ef638e98a7d2b2378f8b70a4f2df99ac2b5594ea917b4ac3450ea1

Aliases

arxiv: 1812.07310 · arxiv_version: 1812.07310v2 · doi: 10.48550/arxiv.1812.07310 · pith_short_12: 73D67PKQ55RY · pith_short_16: 73D67PKQ55RY5GFH · pith_short_8: 73D67PKQ

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/73D67PKQ55RY5GFH2KZDPD4LOC \
  | 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: fec7efbd50ef638e98a7d2b2378f8b70a4f2df99ac2b5594ea917b4ac3450ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2715522c0ba55f011a2db4332c66eabc08ec0a0bae6fe0f6b61225be9b49e7aa",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-12-18T11:41:03Z",
    "title_canon_sha256": "de3222f6c09e4093a1a48c514dd09bc4682a300ad1c79b79a81ddf7b1a36a78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07310",
    "kind": "arxiv",
    "version": 2
  }
}