Pith Number

pith:TAYYFKAF

pith:2016:TAYYFKAFHOHS6ONAEZZ5OJ456G

not attested not anchored not stored refs pending

Wiener index, Harary index and Hamiltonicity of graphs

Bo Ning, Hongbo Hua

arxiv:1609.00114 v2 · 2016-09-01 · 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{TAYYFKAFHOHS6ONAEZZ5OJ456G}

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	2026-05-18T00:51:59.895097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983182a8053b8f2f39a02673d7279df19cf6f2b9efc02641ce85436cead7f495

Aliases

arxiv: 1609.00114 · arxiv_version: 1609.00114v2 · doi: 10.48550/arxiv.1609.00114 · pith_short_12: TAYYFKAFHOHS · pith_short_16: TAYYFKAFHOHS6ONA · pith_short_8: TAYYFKAF

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/TAYYFKAFHOHS6ONAEZZ5OJ456G \
  | 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: 983182a8053b8f2f39a02673d7279df19cf6f2b9efc02641ce85436cead7f495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451b3fede309165ba9649b3d0941593eb0aba4a111a4453dacd669a8ef544470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-01T05:33:00Z",
    "title_canon_sha256": "a6cd49a432d80f0b52280c50e5f5a81b38ce016578df93986f402cf126b13332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00114",
    "kind": "arxiv",
    "version": 2
  }
}