Pith Number

pith:MDGPIYUU

pith:2012:MDGPIYUUX6ISTC64BMQMEFDRIU

not attested not anchored not stored refs pending

Independent sets in graphs with given minimum degree

Colin McDiarmid, Hiu-Fai Law

arxiv:1210.1497 v1 · 2012-10-04 · 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{MDGPIYUUX6ISTC64BMQMEFDRIU}

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	2026-05-18T03:44:03.308299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ccf46294bf91298bdc0b20c2147145241ef7db0c2920340f80563959c00c79

Aliases

arxiv: 1210.1497 · arxiv_version: 1210.1497v1 · doi: 10.48550/arxiv.1210.1497 · pith_short_12: MDGPIYUUX6IS · pith_short_16: MDGPIYUUX6ISTC64 · pith_short_8: MDGPIYUU

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/MDGPIYUUX6ISTC64BMQMEFDRIU \
  | 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: 60ccf46294bf91298bdc0b20c2147145241ef7db0c2920340f80563959c00c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd32924abf6068fff02ced68c8232d6b910472c2a906ce4dd2097ad19f23e815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-04T15:47:54Z",
    "title_canon_sha256": "9e4305d54f6cf3a2f9bf12538731002cf550f71c30a76714f380daa33d2fdfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1497",
    "kind": "arxiv",
    "version": 1
  }
}