Pith Number

pith:WH7AXJKZ

pith:2023:WH7AXJKZY2LIABHGV5YHBQHCEK

not attested not anchored not stored refs pending

Poisson-Voronoi tessellations and fixed price in higher rank

Amanda Wilkens, Mikolaj Fraczyk, Sam Mellick

arxiv:2307.01194 v1 · 2023-07-03 · math.GT · math.DS · math.GR · 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{WH7AXJKZY2LIABHGV5YHBQHCEK}

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.

Cited by

2 papers in Pith

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

Quasi-isometric rigidity for random subsets in products of trees

Receipt and verification

First computed	2026-07-05T06:27:04.940269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fe0ba559c6968004e6af7070c0e22299079bc6e2b243f20dcc25e081752222

Aliases

arxiv: 2307.01194 · arxiv_version: 2307.01194v1 · doi: 10.48550/arxiv.2307.01194 · pith_short_12: WH7AXJKZY2LI · pith_short_16: WH7AXJKZY2LIABHG · pith_short_8: WH7AXJKZ

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/WH7AXJKZY2LIABHGV5YHBQHCEK \
  | 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: b1fe0ba559c6968004e6af7070c0e22299079bc6e2b243f20dcc25e081752222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101546ed9a8ae75ab10132cd1b61d82dd9b56fc16a6c0480dfb312b8ccb49daa",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-07-03T17:55:00Z",
    "title_canon_sha256": "966bf8a249f93129075e4817bd82d92d880e90514855a2c4e1d51936aa077311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01194",
    "kind": "arxiv",
    "version": 1
  }
}