Pith Number

pith:3YMXVM74

pith:2017:3YMXVM74OSN5KFATZQY7GJ3MQC

not attested not anchored not stored refs pending

Polynomial Cases for the Vertex Coloring Problem

Fr\'ed\'eric Maffray, Lucas Pastor, T. Karthick

arxiv:1709.07712 v2 · 2017-09-22 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YMXVM74OSN5KFATZQY7GJ3MQC}

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	2026-05-18T00:14:28.721670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de197ab3fc749bd51413cc31f3276c80bbaef2c33e3652352ec952d8b05c2cf0

Aliases

arxiv: 1709.07712 · arxiv_version: 1709.07712v2 · doi: 10.48550/arxiv.1709.07712 · pith_short_12: 3YMXVM74OSN5 · pith_short_16: 3YMXVM74OSN5KFAT · pith_short_8: 3YMXVM74

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/3YMXVM74OSN5KFATZQY7GJ3MQC \
  | 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: de197ab3fc749bd51413cc31f3276c80bbaef2c33e3652352ec952d8b05c2cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4be4a3ba190c040bd0ba0cad00e7aabbe5d74c7d914e4c99b48cfff688179e2",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-22T12:27:54Z",
    "title_canon_sha256": "d6f631ebc6852c2dc12201eb7aace6d96daa19a40974e09a980acdd2d04baf5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07712",
    "kind": "arxiv",
    "version": 2
  }
}