Pith Number

pith:4ZRG6AON

pith:2021:4ZRG6AONNN5X4JVJTL7V72BSX3

not attested not anchored not stored refs pending

The geometrical meaning of statistical isotropy of smooth random fields in two dimensions

K. P. Yogendran, Pravabati Chingangbam, Priya Goyal, Stephen Appleby

arxiv:2109.05726 v1 · 2021-09-13 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZRG6AONNN5X4JVJTL7V72BSX3}

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	2026-07-05T03:40:45.389204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6626f01cd6b7b7e26a99aff5fe832bed1b52b92e9963db6c5169911efff9166

Aliases

arxiv: 2109.05726 · arxiv_version: 2109.05726v1 · doi: 10.48550/arxiv.2109.05726 · pith_short_12: 4ZRG6AONNN5X · pith_short_16: 4ZRG6AONNN5X4JVJ · pith_short_8: 4ZRG6AON

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/4ZRG6AONNN5X4JVJTL7V72BSX3 \
  | 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: e6626f01cd6b7b7e26a99aff5fe832bed1b52b92e9963db6c5169911efff9166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c10ed182a1547ccc7b20867878bc64680c2465132aa0adc725575701b8e5320",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-13T06:18:42Z",
    "title_canon_sha256": "ffedfe8f3021a8bf88046103701e5d2baf7ff2954bae7d6a5b2c7c78bacaf9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05726",
    "kind": "arxiv",
    "version": 1
  }
}