Pith Number

pith:7GTTHWMZ

pith:2017:7GTTHWMZIFPL6IQLBHHE6RHQMA

not attested not anchored not stored refs pending

List-Distinguishing Cartesian Products of Cliques

Michael Ferrara, Paul Wenger, Sogol Jahanbekam, Zoltan Furedi

arxiv:1707.01823 v1 · 2017-07-06 · 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{7GTTHWMZIFPL6IQLBHHE6RHQMA}

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	2026-05-18T00:40:47.320613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a733d999415ebf220b09ce4f44f0600f7f3c6f3242d68c4fa27461c95121df

Aliases

arxiv: 1707.01823 · arxiv_version: 1707.01823v1 · doi: 10.48550/arxiv.1707.01823 · pith_short_12: 7GTTHWMZIFPL · pith_short_16: 7GTTHWMZIFPL6IQL · pith_short_8: 7GTTHWMZ

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/7GTTHWMZIFPL6IQLBHHE6RHQMA \
  | 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: f9a733d999415ebf220b09ce4f44f0600f7f3c6f3242d68c4fa27461c95121df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887c6ede2c4b0004aa24ecd74e3b03f494567ee65d0530137d0d1a479543d242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-06T14:49:52Z",
    "title_canon_sha256": "09c194122c7d2f966fe3d0046f94290516223e31214b4db6d0eda0cf9547ea31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01823",
    "kind": "arxiv",
    "version": 1
  }
}