Pith Number

pith:D5CRPRKK

pith:2015:D5CRPRKKAHZCTTB4BE3CY6P6TP

not attested not anchored not stored refs pending

Vertex covers by monochromatic pieces - A survey of results and problems

Andras Gyarfas

arxiv:1509.05539 v1 · 2015-09-18 · 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{D5CRPRKKAHZCTTB4BE3CY6P6TP}

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	2026-05-18T01:32:42.893677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4517c54a01f229cc3c09362c79fe9be6ae33accf45f71302b6d074543c4f1d

Aliases

arxiv: 1509.05539 · arxiv_version: 1509.05539v1 · doi: 10.48550/arxiv.1509.05539 · pith_short_12: D5CRPRKKAHZC · pith_short_16: D5CRPRKKAHZCTTB4 · pith_short_8: D5CRPRKK

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/D5CRPRKKAHZCTTB4BE3CY6P6TP \
  | 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: 1f4517c54a01f229cc3c09362c79fe9be6ae33accf45f71302b6d074543c4f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6407b9bab7f2ecfffde9610c8c20d485d5a86b199b7d1c4799ccdec59f405cd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-18T08:20:00Z",
    "title_canon_sha256": "6a4bf7578f9c15e4e08b07fa1121b437faf0f2d76c87c7a705a53e1d0eff2271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05539",
    "kind": "arxiv",
    "version": 1
  }
}