Pith Number

pith:NZACJRLH

pith:2014:NZACJRLHZ54ZT6X5326T42UGAM

not attested not anchored not stored refs pending

The typical structure of graphs with no large cliques

Hong Liu, J\'ozsef Balogh, Maryam Sharifzadeh, Maur\'icio Collares Neto, Neal Bushaw, Robert Morris

arxiv:1406.6961 v2 · 2014-06-26 · 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{NZACJRLHZ54ZT6X5326T42UGAM}

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	2026-05-18T02:17:24.592368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4024c567cf7999fafddebd3e6a86032c9b07b53c42a0245f348b47d15cb061

Aliases

arxiv: 1406.6961 · arxiv_version: 1406.6961v2 · doi: 10.48550/arxiv.1406.6961 · pith_short_12: NZACJRLHZ54Z · pith_short_16: NZACJRLHZ54ZT6X5 · pith_short_8: NZACJRLH

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/NZACJRLHZ54ZT6X5326T42UGAM \
  | 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: 6e4024c567cf7999fafddebd3e6a86032c9b07b53c42a0245f348b47d15cb061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99efacfd8d154698d24d3582e19e5f5f64d02c16e9cddc8d0a379463abbb804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-26T17:56:49Z",
    "title_canon_sha256": "491182bc70e1f6afca5ebd4da4d2412d960dbffd0033360d258ef0b9c8a7fe12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6961",
    "kind": "arxiv",
    "version": 2
  }
}