Pith Number

pith:B7J7P2PC

pith:2025:B7J7P2PCOWCCHLZ3LDAZRHRV2Y

not attested not anchored not stored refs pending

Hamilton cycles in regular graphs perturbed by a random 2-factor

Cicely (Cece) Henderson, Dingjia Mao, Patryk Morawski, Sean Longbrake

arxiv:2506.21756 v2 · 2025-06-26 · 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{B7J7P2PCOWCCHLZ3LDAZRHRV2Y}

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

Pancyclicity of graphs perturbed by a random $F$-factor

Receipt and verification

First computed	2026-07-05T11:58:31.825669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd3f7e9e2758423af3b58c1989e35d619d1b7821682bd57aca82f270a7207f0

Aliases

arxiv: 2506.21756 · arxiv_version: 2506.21756v2 · doi: 10.48550/arxiv.2506.21756 · pith_short_12: B7J7P2PCOWCC · pith_short_16: B7J7P2PCOWCCHLZ3 · pith_short_8: B7J7P2PC

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/B7J7P2PCOWCCHLZ3LDAZRHRV2Y \
  | 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: 0fd3f7e9e2758423af3b58c1989e35d619d1b7821682bd57aca82f270a7207f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6015274ffd889aeb5fa1ea676757c379a460a4d341b52ba04761dbdbf39c8ff2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-26T20:25:01Z",
    "title_canon_sha256": "825fc343561cee03f8b29a49c28d967d614ae59efffe9d41b2c271dae3b572cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21756",
    "kind": "arxiv",
    "version": 2
  }
}