Pith Number

pith:H6MJY2S6

pith:2018:H6MJY2S6A4XWINWQI6BWYUZ3C4

not attested not anchored not stored refs pending

On the Mean Order of Connected Induced Subgraphs of Block Graphs

Kristaps J. Balodis, Lucas Mol, Matthew E. Kroeker, Ortrud R. Oellermann

arxiv:1811.05430 v1 · 2018-11-13 · 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{H6MJY2S6A4XWINWQI6BWYUZ3C4}

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	2026-05-18T00:00:46.159413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f989c6a5e072f6436d047836c533b1704f832707130c4ef964639d40259f108

Aliases

arxiv: 1811.05430 · arxiv_version: 1811.05430v1 · doi: 10.48550/arxiv.1811.05430 · pith_short_12: H6MJY2S6A4XW · pith_short_16: H6MJY2S6A4XWINWQ · pith_short_8: H6MJY2S6

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/H6MJY2S6A4XWINWQI6BWYUZ3C4 \
  | 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: 3f989c6a5e072f6436d047836c533b1704f832707130c4ef964639d40259f108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7cc2de3d0905dc0ad950d9fafa063a10d0f9ca946b10bc0ba9dd12ae00184b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-13T17:43:11Z",
    "title_canon_sha256": "e45242404575f44e4179f27ca7fe57ddfd5561d984a9c16a36eb8560851007fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05430",
    "kind": "arxiv",
    "version": 1
  }
}