Pith Number

pith:HHL3EBUC

pith:2016:HHL3EBUCZQWR6YHCDVAYH2V42R

not attested not anchored not stored refs pending

Maximizing $H$-colorings of connected graphs with fixed minimum degree

John Engbers

arxiv:1601.05040 v2 · 2016-01-19 · 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{HHL3EBUCZQWR6YHCDVAYH2V42R}

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	2026-05-18T01:01:44.698476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d7b20682cc2d1f60e21d4183eabcd47d0da9a64b0c42de694285a1f201d91d

Aliases

arxiv: 1601.05040 · arxiv_version: 1601.05040v2 · doi: 10.48550/arxiv.1601.05040 · pith_short_12: HHL3EBUCZQWR · pith_short_16: HHL3EBUCZQWR6YHC · pith_short_8: HHL3EBUC

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/HHL3EBUCZQWR6YHCDVAYH2V42R \
  | 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: 39d7b20682cc2d1f60e21d4183eabcd47d0da9a64b0c42de694285a1f201d91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1c44b24cc06931e1d82148240e038407aab50a38e6ce4af1199a47fa995f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T19:24:18Z",
    "title_canon_sha256": "2b52477b5e7dfb4257790b485936ddb9d871557dbfe1cbd54b82978e0506bf60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05040",
    "kind": "arxiv",
    "version": 2
  }
}