Pith Number

pith:EUH423KM

pith:2009:EUH423KMD3VGSHU524HEDYVNED

not attested not anchored not stored refs pending

Hamilton cycles in random geometric graphs

B\'ela Bollob\'as, J\'ozsef Balogh, Mark Walters, Michael Krivelevich, Tobias M\"uller

arxiv:0905.4650 v2 · 2009-05-28 · math.PR · 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{EUH423KMD3VGSHU524HEDYVNED}

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	2026-05-18T03:41:20.512618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

250fcd6d4c1eea691e9dd70e41e2ad20d13e42e418ded9af62616e976b193ad5

Aliases

arxiv: 0905.4650 · arxiv_version: 0905.4650v2 · doi: 10.48550/arxiv.0905.4650 · pith_short_12: EUH423KMD3VG · pith_short_16: EUH423KMD3VGSHU5 · pith_short_8: EUH423KM

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/EUH423KMD3VGSHU524HEDYVNED \
  | 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: 250fcd6d4c1eea691e9dd70e41e2ad20d13e42e418ded9af62616e976b193ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a9d28dd93debc5b833820296e175dc45f2e5ce4b96251d39e96486258cc963",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-28T13:43:04Z",
    "title_canon_sha256": "a8dbd7cb5b96eda643a868452b58fd2a173f692365e82ae47b83188cb6487e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4650",
    "kind": "arxiv",
    "version": 2
  }
}