Pith Number

pith:A4AGW5JE

pith:2017:A4AGW5JE6JUPLR6MX7YF3JGXMV

not attested not anchored not stored refs pending

Sufficient conditions for Hamilton-connected graphs in terms of (signless Laplacian) spectral radius

Ligong Wang, Qiannan Zhou, Yong Lu

arxiv:1711.03019 v1 · 2017-11-08 · 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{A4AGW5JE6JUPLR6MX7YF3JGXMV}

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	2026-05-18T00:31:01.047810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07006b7524f268f5c7ccbff05da4d76549c45d561582ff4743f8d76964e58e56

Aliases

arxiv: 1711.03019 · arxiv_version: 1711.03019v1 · doi: 10.48550/arxiv.1711.03019 · pith_short_12: A4AGW5JE6JUP · pith_short_16: A4AGW5JE6JUPLR6M · pith_short_8: A4AGW5JE

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/A4AGW5JE6JUPLR6MX7YF3JGXMV \
  | 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: 07006b7524f268f5c7ccbff05da4d76549c45d561582ff4743f8d76964e58e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc158be00bbdb73b3b6b60b19931f359dce7ff10b23aef36ba8a137f9575ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-08T15:36:33Z",
    "title_canon_sha256": "82aabe7765953cea14313763cbcc5d157064f138ac2d79296d721dfb7ab16179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03019",
    "kind": "arxiv",
    "version": 1
  }
}