Pith Number

pith:3T4OE4VM

pith:2019:3T4OE4VMP2M5OE5F5UOT4SX22D

not attested not anchored not stored refs pending

Local convergence of random planar graphs

Benedikt Stufler

arxiv:1908.04850 v1 · 2019-08-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T4OE4VMP2M5OE5F5UOT4SX22D}

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	2026-07-04T23:55:57.443867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf8e272ac7e99d713a5ed1d3e4afad0cc3da4f9b02ba88c150d4090f3664176

Aliases

arxiv: 1908.04850 · arxiv_version: 1908.04850v1 · doi: 10.48550/arxiv.1908.04850 · pith_short_12: 3T4OE4VMP2M5 · pith_short_16: 3T4OE4VMP2M5OE5F · pith_short_8: 3T4OE4VM

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/3T4OE4VMP2M5OE5F5UOT4SX22D \
  | 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: dcf8e272ac7e99d713a5ed1d3e4afad0cc3da4f9b02ba88c150d4090f3664176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92444080b2dfce0ffcd71ff0b26548efc73b3c918bc6f8a5a00fa59549c9cbbb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-13T20:40:06Z",
    "title_canon_sha256": "1868c7c266825a5edb4f94fc554b44bc81dd824dc43485a182ddcd20507615c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04850",
    "kind": "arxiv",
    "version": 1
  }
}