Pith Number

pith:QACF6YG5

pith:2017:QACF6YG52N4AOLXVUMETNMFYNA

not attested not anchored not stored refs pending

Nowhere Dense Graph Classes and Dimension

Gwena\"el Joret, Patrice Ossona de Mendez, Piotr Micek, Veit Wiechert

arxiv:1708.05424 v4 · 2017-08-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QACF6YG52N4AOLXVUMETNMFYNA}

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	2026-05-17T23:55:01.217798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80045f60ddd378072ef5a30936b0b8682d40c75fcf783855955abf7d69224008

Aliases

arxiv: 1708.05424 · arxiv_version: 1708.05424v4 · doi: 10.48550/arxiv.1708.05424 · pith_short_12: QACF6YG52N4A · pith_short_16: QACF6YG52N4AOLXV · pith_short_8: QACF6YG5

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/QACF6YG52N4AOLXVUMETNMFYNA \
  | 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: 80045f60ddd378072ef5a30936b0b8682d40c75fcf783855955abf7d69224008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7e562a5c031a7e1f9be912e3ab8a9196d15932fe1a3dbde180cfbf5ca9a54c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-17T20:02:03Z",
    "title_canon_sha256": "02d535a6568036a9fc9f8a2f5c1d2d25ac8483464ab51ccc17ba34d5fc643c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05424",
    "kind": "arxiv",
    "version": 4
  }
}