Pith Number

pith:H5DKE5T3

pith:2025:H5DKE5T3SMXKDMMK7MK5JYQ4OM

not attested not anchored not stored refs pending

Sharp thresholds for higher powers of Hamilton cycles in random graphs

Kalina Petrova, Leon Schiller, Matija Pasch, Tam\'as Makai

arxiv:2502.14515 v1 · 2025-02-20 · 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{H5DKE5T3SMXKDMMK7MK5JYQ4OM}

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.

Cited by

1 paper in Pith

Spanning triangulations in random graphs

Receipt and verification

First computed	2026-07-05T10:17:28.005431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f46a2767b932ea1b18afb15d4e21c730915ba94e03b43a0d7ea1144f95d4700

Aliases

arxiv: 2502.14515 · arxiv_version: 2502.14515v1 · doi: 10.48550/arxiv.2502.14515 · pith_short_12: H5DKE5T3SMXK · pith_short_16: H5DKE5T3SMXKDMMK · pith_short_8: H5DKE5T3

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/H5DKE5T3SMXKDMMK7MK5JYQ4OM \
  | 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: 3f46a2767b932ea1b18afb15d4e21c730915ba94e03b43a0d7ea1144f95d4700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfe76c34555c356d9a4d1b194cb10b9857275ae189be74a58a0baf632419f6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-20T12:39:21Z",
    "title_canon_sha256": "8ba9eaf311dd956a77ebe2cabfcd34543d665e989aab61c8e685ad92ed254766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14515",
    "kind": "arxiv",
    "version": 1
  }
}