Pith Number

pith:CQ47WDGV

pith:2012:CQ47WDGV6R5JW5JONH77DZC4AO

not attested not anchored not stored refs pending

On the diameter of random planar graphs

\'Eric Fusy, Guillaume Chapuy, Marc Noy, Omer Gim\'enez

arxiv:1203.3079 v2 · 2012-03-14 · 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{CQ47WDGV6R5JW5JONH77DZC4AO}

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	2026-05-17T23:53:18.859890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1439fb0cd5f47a9b752e69fff1e45c03afdad9c5a3fe9569c2ecc6ea985bf59f

Aliases

arxiv: 1203.3079 · arxiv_version: 1203.3079v2 · doi: 10.48550/arxiv.1203.3079 · pith_short_12: CQ47WDGV6R5J · pith_short_16: CQ47WDGV6R5JW5JO · pith_short_8: CQ47WDGV

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/CQ47WDGV6R5JW5JONH77DZC4AO \
  | 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: 1439fb0cd5f47a9b752e69fff1e45c03afdad9c5a3fe9569c2ecc6ea985bf59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073e39374d59c8056edd0c8a22b2577e844d71f927c5de146df9a06318f61270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-14T13:18:15Z",
    "title_canon_sha256": "9547b6e7c29db4e8778685ef589eaa3dda0954d1faa53783e232037860c4f80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3079",
    "kind": "arxiv",
    "version": 2
  }
}