Pith Number

pith:X2Q2WRP7

pith:2015:X2Q2WRP7IWTLH3KTRNIO7OJS4B

not attested not anchored not stored refs pending

Local convergence of random graph colorings

Amin Coja-Oghlan, Charilaos Efthymiou, Nor Jaafari

arxiv:1501.06301 v1 · 2015-01-26 · math.CO · cs.DM · 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{X2Q2WRP7IWTLH3KTRNIO7OJS4B}

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	2026-05-18T02:28:41.803089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea1ab45ff45a6b3ed538b50efb932e064df219ead4a47e748e2c126c5b7e2c8

Aliases

arxiv: 1501.06301 · arxiv_version: 1501.06301v1 · doi: 10.48550/arxiv.1501.06301 · pith_short_12: X2Q2WRP7IWTL · pith_short_16: X2Q2WRP7IWTLH3KT · pith_short_8: X2Q2WRP7

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/X2Q2WRP7IWTLH3KTRNIO7OJS4B \
  | 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: bea1ab45ff45a6b3ed538b50efb932e064df219ead4a47e748e2c126c5b7e2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb79efc0454cc5320b7387264cce39a0dc9aba546fd8ecf124838d0fe95d6c12",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-26T09:53:40Z",
    "title_canon_sha256": "724ac40e9d622cdc76e7f60c568ccc792ce247fee8bba8619cf88c78a8a5a620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06301",
    "kind": "arxiv",
    "version": 1
  }
}