Pith Number

pith:GUKVCL5C

pith:2016:GUKVCL5CYSKQDDQSUS6HIE36T5

not attested not anchored not stored refs pending

Balanced independent sets in graphs omitting large cliques

Andres A. Lopez, Claude Laflamme, Daniel T. Soukup, Robert Woodrow

arxiv:1611.06142 v2 · 2016-11-18 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUKVCL5CYSKQDDQSUS6HIE36T5}

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	2026-05-18T00:43:18.208248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3515512fa2c495018e12a4bc74137e9f67ea992dc269042a2b4fd19a2e7d7a2b

Aliases

arxiv: 1611.06142 · arxiv_version: 1611.06142v2 · doi: 10.48550/arxiv.1611.06142 · pith_short_12: GUKVCL5CYSKQ · pith_short_16: GUKVCL5CYSKQDDQS · pith_short_8: GUKVCL5C

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/GUKVCL5CYSKQDDQSUS6HIE36T5 \
  | 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: 3515512fa2c495018e12a4bc74137e9f67ea992dc269042a2b4fd19a2e7d7a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9305b738a9a60ca09870ef9e4ec3aa546ae8cfa5377defb2e7a0304e91775ee3",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-18T16:17:19Z",
    "title_canon_sha256": "1737dc8871ba39f34d4ba57b47a4adbd37b9305bb2191a2a41c28fd78848b389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06142",
    "kind": "arxiv",
    "version": 2
  }
}