Pith Number

pith:TPEOPIJ5

pith:2019:TPEOPIJ5ILV7DQ26AQMFQA2LZD

not attested not anchored not stored refs pending

Diameter of io-decomposable Riordan graphs of the Bell type

Ji-Hwan Jung

arxiv:1901.11156 v1 · 2019-01-31 · 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{TPEOPIJ5ILV7DQ26AQMFQA2LZD}

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	2026-05-17T23:55:02.553662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc8e7a13d42ebf1c35e041858034bc8dd76281387e4f2a90e79d6955966bdfd

Aliases

arxiv: 1901.11156 · arxiv_version: 1901.11156v1 · doi: 10.48550/arxiv.1901.11156 · pith_short_12: TPEOPIJ5ILV7 · pith_short_16: TPEOPIJ5ILV7DQ26 · pith_short_8: TPEOPIJ5

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/TPEOPIJ5ILV7DQ26AQMFQA2LZD \
  | 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: 9bc8e7a13d42ebf1c35e041858034bc8dd76281387e4f2a90e79d6955966bdfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a44c504ae231cda6f2d57643a5c6d5941157c56dd4f1757dd1ea9f78169b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-31T00:35:57Z",
    "title_canon_sha256": "4d684269c2242017852aeb51f7ef914958dc9457f40fdb0dbfaaf104b46adfb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11156",
    "kind": "arxiv",
    "version": 1
  }
}