Pith Number

pith:XHS7DHH2

pith:2017:XHS7DHH2TBRR4X6V5OF6LGDYCT

not attested not anchored not stored refs pending

The first order convergence law fails for random perfect graphs

Marc Noy, Tobias M\"uller

arxiv:1711.10975 v2 · 2017-11-29 · math.CO · 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{XHS7DHH2TBRR4X6V5OF6LGDYCT}

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	2026-05-18T00:04:30.500380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e5f19cfa98631e5fd5eb8be5987814c9d1d2b6eff923287cc29f3aadf09873

Aliases

arxiv: 1711.10975 · arxiv_version: 1711.10975v2 · doi: 10.48550/arxiv.1711.10975 · pith_short_12: XHS7DHH2TBRR · pith_short_16: XHS7DHH2TBRR4X6V · pith_short_8: XHS7DHH2

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/XHS7DHH2TBRR4X6V5OF6LGDYCT \
  | 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: b9e5f19cfa98631e5fd5eb8be5987814c9d1d2b6eff923287cc29f3aadf09873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692d42ba317e8a4cf8eb03d323501be1afb2b94e57d2070269d28b03d31654b5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-29T17:40:32Z",
    "title_canon_sha256": "a95918e0ae4b460033e66bd39c20a0dac565951f9660e553794d08a58e8be027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10975",
    "kind": "arxiv",
    "version": 2
  }
}