Pith Number

pith:4ORFKLIN

pith:2010:4ORFKLINON7YYVKFYA2SYFLVWJ

not attested not anchored not stored refs pending

Hamilton cycles in 5-connected line graphs

Petr Vr\'ana, Tom\'a\v{s} Kaiser

arxiv:1009.3754 v2 · 2010-09-20 · 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{4ORFKLINON7YYVKFYA2SYFLVWJ}

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	2026-05-18T04:25:25.794249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a2552d0d737f8c5545c0352c1575b26484570e96378a7bb5b68552500b1821

Aliases

arxiv: 1009.3754 · arxiv_version: 1009.3754v2 · doi: 10.48550/arxiv.1009.3754 · pith_short_12: 4ORFKLINON7Y · pith_short_16: 4ORFKLINON7YYVKF · pith_short_8: 4ORFKLIN

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/4ORFKLINON7YYVKFYA2SYFLVWJ \
  | 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: e3a2552d0d737f8c5545c0352c1575b26484570e96378a7bb5b68552500b1821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1657fb55edb1a23fd436baedb4836b614dd022cda1bd3b386b5fc41f6a617c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-20T10:06:23Z",
    "title_canon_sha256": "acfa2dfdb2f9d0e29cb055f6e190ca6ec12d3829c4ba3223b2bbc5614f1d1e6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3754",
    "kind": "arxiv",
    "version": 2
  }
}