Pith Number

pith:F3AUALM3

pith:2019:F3AUALM3H7V3OMXBPLHD4OLTSF

not attested not anchored not stored refs pending

On small balanceable, strongly-balanceable and omnitonal graphs

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1908.08237 v3 · 2019-08-22 · 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{F3AUALM3H7V3OMXBPLHD4OLTSF}

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.

Cited by

1 paper in Pith

On the balanceability of some graph classes

Receipt and verification

First computed	2026-07-05T00:35:01.800713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec1402d9b3febb732e17ace3e3973916c28325edbd56381ddf24c0675b939ce

Aliases

arxiv: 1908.08237 · arxiv_version: 1908.08237v3 · doi: 10.48550/arxiv.1908.08237 · pith_short_12: F3AUALM3H7V3 · pith_short_16: F3AUALM3H7V3OMXB · pith_short_8: F3AUALM3

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/F3AUALM3H7V3OMXBPLHD4OLTSF \
  | 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: 2ec1402d9b3febb732e17ace3e3973916c28325edbd56381ddf24c0675b939ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8557c83c999068b7b901b2072599d587c501ac7fda87c57cd85df1e357f6ad1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-22T07:34:08Z",
    "title_canon_sha256": "de3c9036e823e1e324990cd2ee107ffbf6504db1976ca6d1cc2b0b846d64b378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08237",
    "kind": "arxiv",
    "version": 3
  }
}