Pith Number

pith:HW2HCRGL

pith:2017:HW2HCRGLJLUZH5VBGTIGV7ZDFL

not attested not anchored not stored refs pending

Additive non-approximability of chromatic number in proper minor-closed classes

Ken-ichi Kawarabayashi, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1707.03888 v1 · 2017-07-12 · cs.DM · 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{HW2HCRGLJLUZH5VBGTIGV7ZDFL}

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	2026-05-18T00:40:23.247558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db47144cb4ae993f6a134d06aff232ad28d30587e9f6b8dbe1379ae9499cbc7

Aliases

arxiv: 1707.03888 · arxiv_version: 1707.03888v1 · doi: 10.48550/arxiv.1707.03888 · pith_short_12: HW2HCRGLJLUZ · pith_short_16: HW2HCRGLJLUZH5VB · pith_short_8: HW2HCRGL

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/HW2HCRGLJLUZH5VBGTIGV7ZDFL \
  | 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: 3db47144cb4ae993f6a134d06aff232ad28d30587e9f6b8dbe1379ae9499cbc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4fd03fdfa5f39e441f072458020e9cc01fc08d371b8642aa89b0bd4d67cb2a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-12T19:55:03Z",
    "title_canon_sha256": "2a78f9a087f62b3d468f61347d0874728ad17e82c0de1b9cd41ded0395de4eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03888",
    "kind": "arxiv",
    "version": 1
  }
}