Pith Number

pith:HT56KXKL

pith:2018:HT56KXKL3AJKW5YTGSH6GWPR23

not attested not anchored not stored refs pending

Generalizations of Ripley's K-function with Application to Space Curves

Jon Sporring, Rasmus Waagepetersen, Stefan Sommer

arxiv:1812.06870 v1 · 2018-12-17 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT56KXKL3AJKW5YTGSH6GWPR23}

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	2026-05-17T23:58:09.180643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfbe55d4bd812ab7713348fe359f1d6f78d20a317b153eb95f44246dc3c4149

Aliases

arxiv: 1812.06870 · arxiv_version: 1812.06870v1 · doi: 10.48550/arxiv.1812.06870 · pith_short_12: HT56KXKL3AJK · pith_short_16: HT56KXKL3AJKW5YT · pith_short_8: HT56KXKL

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/HT56KXKL3AJKW5YTGSH6GWPR23 \
  | 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: 3cfbe55d4bd812ab7713348fe359f1d6f78d20a317b153eb95f44246dc3c4149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215a6afbd2242213973d715db205055b0b3ee3a021f05c4bf78844087530ab82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-12-17T16:16:06Z",
    "title_canon_sha256": "7b3ef2a60cafbdb587909cec6bfc00297e8cda5f4179166c433b1766984a6abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06870",
    "kind": "arxiv",
    "version": 1
  }
}