Pith Number

pith:MGYCD3MR

pith:2015:MGYCD3MRQ5YWGIJXY2JYY7PSV3

not attested not anchored not stored refs pending

Unique colorability and clique minors

Matthias Kriesell

arxiv:1508.01396 v1 · 2015-08-06 · 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{MGYCD3MRQ5YWGIJXY2JYY7PSV3}

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	2026-05-18T01:35:42.728312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b021ed918771632137c6938c7df2aecdb17f49307dcdcf302520596ae928d0

Aliases

arxiv: 1508.01396 · arxiv_version: 1508.01396v1 · doi: 10.48550/arxiv.1508.01396 · pith_short_12: MGYCD3MRQ5YW · pith_short_16: MGYCD3MRQ5YWGIJX · pith_short_8: MGYCD3MR

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/MGYCD3MRQ5YWGIJXY2JYY7PSV3 \
  | 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: 61b021ed918771632137c6938c7df2aecdb17f49307dcdcf302520596ae928d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc00c65573bc553e25933d161ca4938b1911dd54a1e20f03642e8e6e2cc7908d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-06T13:45:52Z",
    "title_canon_sha256": "6bb74daf61cd8cc5d3f9bb932aac4735cc39e6b1a448bb14ec13c44198253723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01396",
    "kind": "arxiv",
    "version": 1
  }
}