Pith Number

pith:N6NWGJCO

pith:2026:N6NWGJCOSQXN33NMJ6NV6LJKKU

not attested not anchored not stored refs pending

Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces

Christoph Th\"ale, Matteo D'Achille

arxiv:2606.26049 v1 · 2026-06-24 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6NWGJCOSQXN33NMJ6NV6LJKKU}

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	2026-06-25T01:18:47.044857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9b63244e942eddedac4f9b5f2d2a553bba8920fa3dfe0c3cb568d5c6c83f20

Aliases

arxiv: 2606.26049 · arxiv_version: 2606.26049v1 · doi: 10.48550/arxiv.2606.26049 · pith_short_12: N6NWGJCOSQXN · pith_short_16: N6NWGJCOSQXN33NM · pith_short_8: N6NWGJCO

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/N6NWGJCOSQXN33NMJ6NV6LJKKU \
  | 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: 6f9b63244e942eddedac4f9b5f2d2a553bba8920fa3dfe0c3cb568d5c6c83f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5409aa93903f64d406dd68e738481cbcab0265aa38ed18776c75469e098ee4d9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-24T17:27:08Z",
    "title_canon_sha256": "502925e127f27a181c37abe01d57eb6bf97b399a0b364f4de611c83a2db46298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26049",
    "kind": "arxiv",
    "version": 1
  }
}