Pith Number

pith:VKJUKSNG

pith:2019:VKJUKSNGJCGU44CMGYVPSQNOQE

not attested not anchored not stored refs pending

Coloring graphs with no induced subdivision of $K_4^+$

Louis Esperet, Nicolas Trotignon

arxiv:1901.04170 v2 · 2019-01-14 · 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{VKJUKSNGJCGU44CMGYVPSQNOQE}

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	2026-05-17T23:56:01.793819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa934549a6488d4e704c362af941ae81089051330073525c9259f04ab9169c87

Aliases

arxiv: 1901.04170 · arxiv_version: 1901.04170v2 · doi: 10.48550/arxiv.1901.04170 · pith_short_12: VKJUKSNGJCGU · pith_short_16: VKJUKSNGJCGU44CM · pith_short_8: VKJUKSNG

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/VKJUKSNGJCGU44CMGYVPSQNOQE \
  | 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: aa934549a6488d4e704c362af941ae81089051330073525c9259f04ab9169c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f93e25bf5b3e254ec9e63a3f6203510caa726f245168680667c71828a3292c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-14T08:03:13Z",
    "title_canon_sha256": "82f0afcb790c84964fef3189687ef0d035f8d2c45b6b755840e966e13c516a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04170",
    "kind": "arxiv",
    "version": 2
  }
}