pith. sign in
Pith Number

pith:7S3IAKM5

pith:2016:7S3IAKM5A6QT5VIOA3X2JDOFDI
not attested not anchored not stored refs pending

Powers of Hamilton cycles in random graphs and tight Hamilton cycles in random hypergraphs

Nemanja \v{S}kori\'c, Rajko Nenadov

arxiv:1601.04034 v2 · 2016-01-15 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7S3IAKM5A6QT5VIOA3X2JDOFDI}

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 2026-05-18T00:44:25.000190Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fcb680299d07a13ed50e06efa48dc51a33a87c1d0fbb779f9b38c31746e4b8da

Aliases

arxiv: 1601.04034 · arxiv_version: 1601.04034v2 · doi: 10.48550/arxiv.1601.04034 · pith_short_12: 7S3IAKM5A6QT · pith_short_16: 7S3IAKM5A6QT5VIO · pith_short_8: 7S3IAKM5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7S3IAKM5A6QT5VIOA3X2JDOFDI \
  | 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: fcb680299d07a13ed50e06efa48dc51a33a87c1d0fbb779f9b38c31746e4b8da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02c38da87e3bfc858ce243fd6bf48c881a03f75f3f3487c5c9d085d41b68b168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-15T19:06:30Z",
    "title_canon_sha256": "35b37b28d0b07297380d57f8793a1cf424d4a8b2e4219d7d1833df6d47b4cfb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04034",
    "kind": "arxiv",
    "version": 2
  }
}