Pith Number

pith:RS2GVWBM

pith:2007:RS2GVWBM3OMGV2CMZH2WJUXNFM

not attested not anchored not stored refs pending

From symmetry break to Poisson point process in 2D Voronoi tessellations: the generic nature of hexagons

Valerio Lucarini

arxiv:0708.0977 v1 · 2007-08-07 · cond-mat.stat-mech · cond-mat.dis-nn · cs.CG · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS2GVWBM3OMGV2CMZH2WJUXNFM}

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	2026-05-18T04:11:29.427332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb46ad82cdb986ae84cc9f564d2ed2b3c0a26522c4d6d276ba6c7017a311b55

Aliases

arxiv: 0708.0977 · arxiv_version: 0708.0977v1 · doi: 10.48550/arxiv.0708.0977 · pith_short_12: RS2GVWBM3OMG · pith_short_16: RS2GVWBM3OMGV2CM · pith_short_8: RS2GVWBM

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/RS2GVWBM3OMGV2CMZH2WJUXNFM \
  | 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: 8cb46ad82cdb986ae84cc9f564d2ed2b3c0a26522c4d6d276ba6c7017a311b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb22bbac98f17e8c23122e49c4cbb02463ec3ffff33db5cc81d5447b28fb195",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.CG",
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-08-07T15:23:31Z",
    "title_canon_sha256": "c9f19dd8b98027309e1b9ee0f6daa32cdded6901b7e9f105be43735f8399e732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0977",
    "kind": "arxiv",
    "version": 1
  }
}