Pith Number

pith:HKARCR62

pith:2018:HKARCR62MTRWINCRRQV6ZZPSUB

not attested not anchored not stored refs pending

Planar Ramsey graphs

Carsten Thomassen, Maria Axenovich, Torsten Ueckerdt, Ursula Schade

arxiv:1812.00832 v1 · 2018-12-03 · 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{HKARCR62MTRWINCRRQV6ZZPSUB}

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	2026-05-17T23:59:18.882894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a811147da64e36434518c2bece5f2a06115b2c192af8443ff3f031adeed3fce

Aliases

arxiv: 1812.00832 · arxiv_version: 1812.00832v1 · doi: 10.48550/arxiv.1812.00832 · pith_short_12: HKARCR62MTRW · pith_short_16: HKARCR62MTRWINCR · pith_short_8: HKARCR62

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/HKARCR62MTRWINCRRQV6ZZPSUB \
  | 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: 3a811147da64e36434518c2bece5f2a06115b2c192af8443ff3f031adeed3fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b59efb9ce46ce264143fc76f327766d3ab3951f89fe7dbf98f7ac5d8b7a2f1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-03T15:25:34Z",
    "title_canon_sha256": "3a02fa4a0fec02d0c8154dc7290dc82990fc63c90aea2bc5f569470388b0bf24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00832",
    "kind": "arxiv",
    "version": 1
  }
}