Pith Number

pith:LTYKZORO

pith:2016:LTYKZORORA2GBBUZIF43GRN5UC

not attested not anchored not stored refs pending

Clique coloring of dense random graphs

Michael Krivelevich, Noga Alon

arxiv:1612.06539 v2 · 2016-12-20 · 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{LTYKZORORA2GBBUZIF43GRN5UC}

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	2026-05-18T00:31:22.256103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf0acba2e88346086994179b345bda0afbebb7f31a6d8887d8600cfee577023

Aliases

arxiv: 1612.06539 · arxiv_version: 1612.06539v2 · doi: 10.48550/arxiv.1612.06539 · pith_short_12: LTYKZORORA2G · pith_short_16: LTYKZORORA2GBBUZ · pith_short_8: LTYKZORO

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/LTYKZORORA2GBBUZIF43GRN5UC \
  | 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: 5cf0acba2e88346086994179b345bda0afbebb7f31a6d8887d8600cfee577023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9232f4c6e2530c61c1ea30151f7fe2307bbb8fc13cf30eb4765a806a65f8fb55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-20T08:03:49Z",
    "title_canon_sha256": "ce7e0499a6da0a67b0dbc130711647e2e1aa8b65e6761b1df1a51a67272c9ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06539",
    "kind": "arxiv",
    "version": 2
  }
}