Pith Number

pith:AJ7JKGK5

pith:2025:AJ7JKGK52DAQZ5MGDWD733QLRJ

not attested not anchored not stored refs pending

Strengthening Wilf's lower bound on clique number

Hareshkumar Jadav, Rahul Raut, Ranveer Singh, Sreekara Madyastha

arxiv:2504.04836 v1 · 2025-04-07 · cs.DM · 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{AJ7JKGK52DAQZ5MGDWD733QLRJ}

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	2026-07-05T10:45:30.533585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027e95195dd0c10cf5861d87fdee0b8a6fa765cd37f421fd868200faca57afa5

Aliases

arxiv: 2504.04836 · arxiv_version: 2504.04836v1 · doi: 10.48550/arxiv.2504.04836 · pith_short_12: AJ7JKGK52DAQ · pith_short_16: AJ7JKGK52DAQZ5MG · pith_short_8: AJ7JKGK5

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/AJ7JKGK52DAQZ5MGDWD733QLRJ \
  | 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: 027e95195dd0c10cf5861d87fdee0b8a6fa765cd37f421fd868200faca57afa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b779aed7604689535c7df2f7f0504f5276fb33e1c0feefd61c7a7f276cadb3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-04-07T08:46:55Z",
    "title_canon_sha256": "60883e486c1e64aa899b2d3b51c52f00e7a222a97e3cabcacc0ede74f632f274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04836",
    "kind": "arxiv",
    "version": 1
  }
}