Pith Number

pith:IPYNRBWD

pith:2017:IPYNRBWDK3UKVHSCZBBLPD2JJU

not attested not anchored not stored refs pending

Chromatic polynomials of random graphs

Christoph Ehrlich, Denny Fliegner, Frank Van Bussel, Marc Timme, Sebastian Stolzenberg

arxiv:1709.06209 v1 · 2017-09-19 · cond-mat.stat-mech · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPYNRBWDK3UKVHSCZBBLPD2JJU}

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	2026-05-18T00:34:53.999335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f0d886c356e8aa9e42c842b78f494d37db9cc59f8f14d917b4c75194b8d4fe

Aliases

arxiv: 1709.06209 · arxiv_version: 1709.06209v1 · doi: 10.48550/arxiv.1709.06209 · pith_short_12: IPYNRBWDK3UK · pith_short_16: IPYNRBWDK3UKVHSC · pith_short_8: IPYNRBWD

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/IPYNRBWDK3UKVHSCZBBLPD2JJU \
  | 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: 43f0d886c356e8aa9e42c842b78f494d37db9cc59f8f14d917b4c75194b8d4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cfcb6b69c7329090602d6bc07daa755dc1cb888f84e36632b8eddc99f885e91",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-19T00:31:39Z",
    "title_canon_sha256": "c119d9e9bcc025517f2758996f1d46025e5314176ab90a49c07f14bb2dc9599c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06209",
    "kind": "arxiv",
    "version": 1
  }
}