Pith Number

pith:B5GRT5O6

pith:2012:B5GRT5O6U5JRL77WZEV4OLEUWQ

not attested not anchored not stored refs pending

Optimal covers with Hamilton cycles in random graphs

Dan Hefetz, Daniela K\"uhn, Deryk Osthus, John Lapinskas

arxiv:1203.3868 v2 · 2012-03-17 · 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{B5GRT5O6U5JRL77WZEV4OLEUWQ}

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	2026-05-18T03:17:44.746473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f4d19f5dea75315fff6c92bc72c94b4154cf56e26f1c038e2eed4359447b3f0

Aliases

arxiv: 1203.3868 · arxiv_version: 1203.3868v2 · doi: 10.48550/arxiv.1203.3868 · pith_short_12: B5GRT5O6U5JR · pith_short_16: B5GRT5O6U5JRL77W · pith_short_8: B5GRT5O6

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/B5GRT5O6U5JRL77WZEV4OLEUWQ \
  | 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: 0f4d19f5dea75315fff6c92bc72c94b4154cf56e26f1c038e2eed4359447b3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197dc1e408bac495d859e5b9444274861108b5e2ffc441aab9ffec3925505724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-17T14:44:57Z",
    "title_canon_sha256": "b04c20dca3aeb51776313f9c363710386917429d6a133b7ba45c83d64de04bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3868",
    "kind": "arxiv",
    "version": 2
  }
}