Pith Number

pith:XI2EIAUT

pith:2011:XI2EIAUTIBESV6H6RNBPVMM7ZW

not attested not anchored not stored refs pending

Optimal packings of Hamilton cycles in sparse random graphs

Michael Krivelevich, Wojciech Samotij

arxiv:1109.5341 v1 · 2011-09-25 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI2EIAUTIBESV6H6RNBPVMM7ZW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:12:19.979406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3444029340492af8fe8b42fab19fcdbfa25e7727d7735641383d0ce8b5918b

Aliases

arxiv: 1109.5341 · arxiv_version: 1109.5341v1 · doi: 10.48550/arxiv.1109.5341 · pith_short_12: XI2EIAUTIBES · pith_short_16: XI2EIAUTIBESV6H6 · pith_short_8: XI2EIAUT

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/XI2EIAUTIBESV6H6RNBPVMM7ZW \
  | 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: ba3444029340492af8fe8b42fab19fcdbfa25e7727d7735641383d0ce8b5918b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662051ae5cee2222be2f785299cc8d7d648af98bcde4a8a54b23baeb3ed13c47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-25T08:46:23Z",
    "title_canon_sha256": "df41b5df40b7e1a14cedcf45dd6f56178b5a96c2f2d7e5537b7178ee8a463523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5341",
    "kind": "arxiv",
    "version": 1
  }
}