Pith Number

pith:2LUXTYCU

pith:2023:2LUXTYCUHGRZ5KG2BQHOJI24NP

not attested not anchored not stored refs pending

Some results on the saturation number for unions of cliques

Fan Chen, Xiying Yuan

arxiv:2303.11893 v2 · 2023-03-21 · 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{2LUXTYCUHGRZ5KG2BQHOJI24NP}

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	2026-07-05T06:58:55.648333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e979e05439a39ea8da0c0ee4a35c6bce81faed64ef598f218f9e356c7437fb

Aliases

arxiv: 2303.11893 · arxiv_version: 2303.11893v2 · doi: 10.48550/arxiv.2303.11893 · pith_short_12: 2LUXTYCUHGRZ · pith_short_16: 2LUXTYCUHGRZ5KG2 · pith_short_8: 2LUXTYCU

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/2LUXTYCUHGRZ5KG2BQHOJI24NP \
  | 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: d2e979e05439a39ea8da0c0ee4a35c6bce81faed64ef598f218f9e356c7437fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca57259e728eb56ed01b93fb2f5a6ba3ef8e96968ef591fdd47c9565b5147e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-21T14:36:39Z",
    "title_canon_sha256": "d3b476d974389fd7290f65db24950fb745ecbbd274dff3e0ee0d1193b217cf4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11893",
    "kind": "arxiv",
    "version": 2
  }
}