Pith Number

pith:PMI6WAQ4

pith:2024:PMI6WAQ45YXRR4RVYBBR26SBQ2

not attested not anchored not stored refs pending

Ideal Poisson--Voronoi tessellations beyond hyperbolic spaces

Matteo D'Achille

arxiv:2412.00822 v1 · 2024-12-01 · 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{PMI6WAQ45YXRR4RVYBBR26SBQ2}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:42:48.368652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b11eb021cee2f18f235c0431d7a4186ab3ec90c200d9b5fc2b13d86756a6f81

Aliases

arxiv: 2412.00822 · arxiv_version: 2412.00822v1 · doi: 10.48550/arxiv.2412.00822 · pith_short_12: PMI6WAQ45YXR · pith_short_16: PMI6WAQ45YXRR4RV · pith_short_8: PMI6WAQ4

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/PMI6WAQ45YXRR4RVYBBR26SBQ2 \
  | 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: 7b11eb021cee2f18f235c0431d7a4186ab3ec90c200d9b5fc2b13d86756a6f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87fcd87d1f4cfd2827be62f2abee33060521b8fe27ba30f09dbb6924ff5a5f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-01T14:20:00Z",
    "title_canon_sha256": "c1194325ea3eb06415285ca19614b15958c0a95865a5009e6890b3c64632d23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00822",
    "kind": "arxiv",
    "version": 1
  }
}