Pith Number

pith:DGWS2CBX

pith:2012:DGWS2CBXKRXAX24HP3RB67LZ6R

not attested not anchored not stored refs pending

On the scaling limit of finite vertex transitive graphs with large diameter

Hilary Finucane, Itai Benjamini, Romain Tessera

arxiv:1203.5624 v4 · 2012-03-26 · math.GR · math.CO · 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{DGWS2CBXKRXAX24HP3RB67LZ6R}

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	2026-05-18T02:44:23.709628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ad2d0837546e0beb877ee21f7d79f4582a3dfd06af186c97a0d809a53df641

Aliases

arxiv: 1203.5624 · arxiv_version: 1203.5624v4 · doi: 10.48550/arxiv.1203.5624 · pith_short_12: DGWS2CBXKRXA · pith_short_16: DGWS2CBXKRXAX24H · pith_short_8: DGWS2CBX

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/DGWS2CBXKRXAX24HP3RB67LZ6R \
  | 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: 19ad2d0837546e0beb877ee21f7d79f4582a3dfd06af186c97a0d809a53df641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e9027857c280a1cee09bc983b459fe3c91f8efecf6fb747beb09f7475fe9db",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-26T10:41:34Z",
    "title_canon_sha256": "68ea68f5b5a9c7c4ac09f7bccc5838f48440db8cf878ea15258ac178f546fb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5624",
    "kind": "arxiv",
    "version": 4
  }
}