Pith Number

pith:HJCZDKMS

pith:2019:HJCZDKMSWYO7OMXOWB4IY53CDZ

not attested not anchored not stored refs pending

Small domination-type invariants in random graphs

Michitaka Furuya, Tamae Kawasaki

arxiv:1906.11743 v1 · 2019-06-27 · 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{HJCZDKMSWYO7OMXOWB4IY53CDZ}

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	2026-05-17T23:42:03.899155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4591a992b61df732eeb0788c77621e7fb19c2eeab406fa5e22575376d5f5ef

Aliases

arxiv: 1906.11743 · arxiv_version: 1906.11743v1 · doi: 10.48550/arxiv.1906.11743 · pith_short_12: HJCZDKMSWYO7 · pith_short_16: HJCZDKMSWYO7OMXO · pith_short_8: HJCZDKMS

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/HJCZDKMSWYO7OMXOWB4IY53CDZ \
  | 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: 3a4591a992b61df732eeb0788c77621e7fb19c2eeab406fa5e22575376d5f5ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "890a7f2588b4a67b0e1d0022e76d1dcd51cf8fa04898a6b3c153c94cc61bb9c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-27T15:44:31Z",
    "title_canon_sha256": "9da9a12fbc54509f810a6b4ecbc6f0cd23f133a99742cc68159f5008eb8f6752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11743",
    "kind": "arxiv",
    "version": 1
  }
}