Pith Number

pith:VKVCLID6

pith:2019:VKVCLID6KZUH3RM5JAI7IW7GBB

not attested not anchored not stored refs pending

Toughness and prism-hamiltonicity of $P_4$-free graphs

M. N. Ellingham, Pouria Salehi Nowbandegani, Songling Shan

arxiv:1901.01959 v1 · 2019-01-07 · 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{VKVCLID6KZUH3RM5JAI7IW7GBB}

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	2026-05-17T23:56:48.975743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaaa25a07e56687dc59d4811f45be6084239d7f5fdec29165de11552e5751f61

Aliases

arxiv: 1901.01959 · arxiv_version: 1901.01959v1 · doi: 10.48550/arxiv.1901.01959 · pith_short_12: VKVCLID6KZUH · pith_short_16: VKVCLID6KZUH3RM5 · pith_short_8: VKVCLID6

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/VKVCLID6KZUH3RM5JAI7IW7GBB \
  | 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: aaaa25a07e56687dc59d4811f45be6084239d7f5fdec29165de11552e5751f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200daac62f5dc5353cda0ff3d2595233369777b407ec4bca0c593be9a263648d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-07T18:25:39Z",
    "title_canon_sha256": "df188a090f823b327b21043edea007036a8ad88126eb1dc273618c6e097f1486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01959",
    "kind": "arxiv",
    "version": 1
  }
}