Pith Number

pith:X2VYLS4A

pith:2019:X2VYLS4AMXJSY6VYYRUJBAWAN2

not attested not anchored not stored refs pending

Kempe Chains and Rooted Minors

Matthias Kriesell, Samuel Mohr

arxiv:1911.09998 v2 · 2019-11-22 · 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{X2VYLS4AMXJSY6VYYRUJBAWAN2}

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.

Cited by

1 paper in Pith

Every graph with no $K_7^{\vee}$-minor is $6$-colorable

Receipt and verification

First computed	2026-07-05T05:20:06.779019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beab85cb8065d32c7ab8c4689082c06ebdb8fed9e26e6f6788a365e7e0d970d3

Aliases

arxiv: 1911.09998 · arxiv_version: 1911.09998v2 · doi: 10.48550/arxiv.1911.09998 · pith_short_12: X2VYLS4AMXJS · pith_short_16: X2VYLS4AMXJSY6VY · pith_short_8: X2VYLS4A

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/X2VYLS4AMXJSY6VYYRUJBAWAN2 \
  | 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: beab85cb8065d32c7ab8c4689082c06ebdb8fed9e26e6f6788a365e7e0d970d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e06a033731042fad0d8438fa2c9cee42566ff7d8e87aab1a8da4c98beaffa01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-22T12:27:30Z",
    "title_canon_sha256": "dbe2e6ec13ac5fca49673833e7316a4bfc8795fa592f9cbb297ad1527efce480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09998",
    "kind": "arxiv",
    "version": 2
  }
}