Pith Number

pith:X7QHZZGE

pith:2026:X7QHZZGEPII3IR5HS4XHL22JX3

not attested not anchored not stored refs pending

Sharp threshold for Hamilton cycles in randomly perturbed sparse graphs

Guorui Ma, Zhifei Yan

arxiv:2605.29553 v1 · 2026-05-28 · 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{X7QHZZGEPII3IR5HS4XHL22JX3}

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	2026-05-29T01:05:46.920473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe07ce4c47a11b447a7972e75eb49bedf31d4308bf090612df7d693303349a0

Aliases

arxiv: 2605.29553 · arxiv_version: 2605.29553v1 · doi: 10.48550/arxiv.2605.29553 · pith_short_12: X7QHZZGEPII3 · pith_short_16: X7QHZZGEPII3IR5H · pith_short_8: X7QHZZGE

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/X7QHZZGEPII3IR5HS4XHL22JX3 \
  | 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: bfe07ce4c47a11b447a7972e75eb49bedf31d4308bf090612df7d693303349a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104a1f57bbb6c4afada0f2e4622ed9b12634ca8f9e28fa6d486fd3fa1005ffa7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T08:06:38Z",
    "title_canon_sha256": "026311f87d0ddaf0d20af1b6cc86fa11f3fa477c75f40d33feb0783e995478d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29553",
    "kind": "arxiv",
    "version": 1
  }
}