Pith Number

pith:6GDHEM2Z

pith:2018:6GDHEM2ZHRHCIHACWH5RTNTSZA

not attested not anchored not stored refs pending

A counterexample to a conjecture of Wang and Hou on signed graphs

Asghar Bahmani

arxiv:1809.08594 v1 · 2018-09-23 · 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{6GDHEM2ZHRHCIHACWH5RTNTSZA}

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	2026-05-18T00:05:04.003922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1867233593c4e241c02b1fb19b672c81b77d175d12faa1741997e79286ab167

Aliases

arxiv: 1809.08594 · arxiv_version: 1809.08594v1 · doi: 10.48550/arxiv.1809.08594 · pith_short_12: 6GDHEM2ZHRHC · pith_short_16: 6GDHEM2ZHRHCIHAC · pith_short_8: 6GDHEM2Z

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/6GDHEM2ZHRHCIHACWH5RTNTSZA \
  | 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: f1867233593c4e241c02b1fb19b672c81b77d175d12faa1741997e79286ab167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e775c3c391d73ed34d31856445b76ced2fb0eefd14d9dc80743f1760f87a4c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-23T13:15:21Z",
    "title_canon_sha256": "633a1e4376d48817e5e7e363b194711a062f700908880cb90c5839bd069ee48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08594",
    "kind": "arxiv",
    "version": 1
  }
}