Pith Number

pith:GJCULHTA

pith:2015:GJCULHTALJP6OTK65WYDIJOS3H

not attested not anchored not stored refs pending

The clique number and the smallest Q-eigenvalue of graphs

Carla Oliveira, Leonardo de Lima, Vladimir Nikiforov

arxiv:1508.01784 v1 · 2015-08-07 · 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{GJCULHTALJP6OTK65WYDIJOS3H}

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	2026-05-18T01:35:38.705404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3245459e605a5fe74d5eedb03425d2d9c4aa4ad399514603cdf14c43d9e464dd

Aliases

arxiv: 1508.01784 · arxiv_version: 1508.01784v1 · doi: 10.48550/arxiv.1508.01784 · pith_short_12: GJCULHTALJP6 · pith_short_16: GJCULHTALJP6OTK6 · pith_short_8: GJCULHTA

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/GJCULHTALJP6OTK65WYDIJOS3H \
  | 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: 3245459e605a5fe74d5eedb03425d2d9c4aa4ad399514603cdf14c43d9e464dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cccd0f03acc786161e4cec4ccf4b9c32b4503045e7baec3778a35e22a554e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-07T19:26:51Z",
    "title_canon_sha256": "52d38fe4a5eb8396fcbce5df3f254efcfb854b9c00b830d928c788c98242132e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01784",
    "kind": "arxiv",
    "version": 1
  }
}