Pith Number

pith:5XQYKFI4

pith:2013:5XQYKFI4QPCB3IOH5Z57TUQIMF

not attested not anchored not stored refs pending

Deciding first-order properties of nowhere dense graphs

Martin Grohe, Sebastian Siebertz, Stephan Kreutzer

arxiv:1311.3899 v2 · 2013-11-15 · cs.LO · 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{5XQYKFI4QPCB3IOH5Z57TUQIMF}

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	2026-05-18T03:01:09.981696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede185151c83c41da1c7ee7bf9d208615e5c0756e088ea6491d6732a43b124e3

Aliases

arxiv: 1311.3899 · arxiv_version: 1311.3899v2 · doi: 10.48550/arxiv.1311.3899 · pith_short_12: 5XQYKFI4QPCB · pith_short_16: 5XQYKFI4QPCB3IOH · pith_short_8: 5XQYKFI4

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/5XQYKFI4QPCB3IOH5Z57TUQIMF \
  | 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: ede185151c83c41da1c7ee7bf9d208615e5c0756e088ea6491d6732a43b124e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4ceba42eb0a1a1b7c0aba1fbbd69f90f3421e702f56dea797bd072d472c8ef",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-11-15T16:08:13Z",
    "title_canon_sha256": "8a25d9660bb398b6ce1daa05f2fac5796c78ab78be748e572aeec06ef70dc3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3899",
    "kind": "arxiv",
    "version": 2
  }
}