Pith Number

pith:PH4PZNZR

pith:2017:PH4PZNZRXWH6H3AIO3CVKUPDJG

not attested not anchored not stored refs pending

On the independence number of graphs related to a polarity

Francesco Pavese, Leo Storme, Sam Mattheus

arxiv:1704.00487 v1 · 2017-04-03 · 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{PH4PZNZRXWH6H3AIO3CVKUPDJG}

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	2026-05-18T00:47:22.229863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f8fcb731bd8fe3ec0876c55551e3498f9080b69297a57b3d0039cd971fb6ba

Aliases

arxiv: 1704.00487 · arxiv_version: 1704.00487v1 · doi: 10.48550/arxiv.1704.00487 · pith_short_12: PH4PZNZRXWH6 · pith_short_16: PH4PZNZRXWH6H3AI · pith_short_8: PH4PZNZR

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/PH4PZNZRXWH6H3AIO3CVKUPDJG \
  | 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: 79f8fcb731bd8fe3ec0876c55551e3498f9080b69297a57b3d0039cd971fb6ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5801834a4a53092829292e781998eb3f8ce62f41a3f0304702e2a5aa4f4eb0c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-03T09:17:47Z",
    "title_canon_sha256": "7a52dd20524d097bd171744dc3176768b25dd663543d96058b7de726cdd2feda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00487",
    "kind": "arxiv",
    "version": 1
  }
}