Pith Number

pith:X54NWKFA

pith:2017:X54NWKFABWIY4MNAXAKULTME2S

not attested not anchored not stored refs pending

Star Saturation Number of Random Graphs

A. Mohammadian, B. Tayfeh-Rezaie

arxiv:1709.08433 v1 · 2017-09-25 · 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{X54NWKFABWIY4MNAXAKULTME2S}

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	2026-05-18T00:34:25.667745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf78db28a00d918e31a0b81545cd84d4a8a6562d0f6c40cdb2555fcff69b3429

Aliases

arxiv: 1709.08433 · arxiv_version: 1709.08433v1 · doi: 10.48550/arxiv.1709.08433 · pith_short_12: X54NWKFABWIY · pith_short_16: X54NWKFABWIY4MNA · pith_short_8: X54NWKFA

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/X54NWKFABWIY4MNAXAKULTME2S \
  | 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: bf78db28a00d918e31a0b81545cd84d4a8a6562d0f6c40cdb2555fcff69b3429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250ad94582aa516276680f8c1f3b5cf0ff9c05eb0310ff7673ff7f8d7ed27f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-25T11:39:11Z",
    "title_canon_sha256": "9b7f9d6101fa030530be0e74ad328a58eba17ad858bc2358f4f75a05aff05d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08433",
    "kind": "arxiv",
    "version": 1
  }
}