Pith Number

pith:27P3CEMO

pith:2020:27P3CEMOMPBF5BRA2SZF5PCYLK

not attested not anchored not stored refs pending

The maximum $k$-colorable subgraph problem and related problems

Juan Vera, Olga Kuryatnikova, Renata Sotirov

arxiv:2001.09644 v3 · 2020-01-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27P3CEMOMPBF5BRA2SZF5PCYLK}

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	2026-07-05T02:14:27.851323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dfb1118e63c25e8620d4b25ebc585ab8e37d1afc6ed050d2d8fddb964d9045

Aliases

arxiv: 2001.09644 · arxiv_version: 2001.09644v3 · doi: 10.48550/arxiv.2001.09644 · pith_short_12: 27P3CEMOMPBF · pith_short_16: 27P3CEMOMPBF5BRA · pith_short_8: 27P3CEMO

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/27P3CEMOMPBF5BRA2SZF5PCYLK \
  | 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: d7dfb1118e63c25e8620d4b25ebc585ab8e37d1afc6ed050d2d8fddb964d9045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb73708d4f0b16ce5ace33302062f76c8e3ab5abe153281bf0b63e90df4fa7d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-01-27T09:35:01Z",
    "title_canon_sha256": "8d6c0f594d1da2b11421c7f214f56813e5994f6db70c5771a433f2e7bc700fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09644",
    "kind": "arxiv",
    "version": 3
  }
}