Pith Number

pith:6LHBYTAF

pith:2023:6LHBYTAFO44XABXVLK5HCJZJRL

not attested not anchored not stored refs pending

Sufficient conditions for $k$-factors and spanning trees of graphs

C.T. Ng, Guoyan Ao, Jinjiang Yuan, Ruifang Liu, T.C.E. Cheng

arxiv:2308.13874 v1 · 2023-08-26 · 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{6LHBYTAFO44XABXVLK5HCJZJRL}

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	2026-07-05T06:45:06.575359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ce1c4c0577397006f55aba7127298ae1c5baa846fc4c188adfc18beee5fab7

Aliases

arxiv: 2308.13874 · arxiv_version: 2308.13874v1 · doi: 10.48550/arxiv.2308.13874 · pith_short_12: 6LHBYTAFO44X · pith_short_16: 6LHBYTAFO44XABXV · pith_short_8: 6LHBYTAF

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/6LHBYTAFO44XABXVLK5HCJZJRL \
  | 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: f2ce1c4c0577397006f55aba7127298ae1c5baa846fc4c188adfc18beee5fab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb8d4d12fc8cd7255fa252ec25b3a262380ab4266fa368d3f2e94c149172c85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-26T13:17:25Z",
    "title_canon_sha256": "97cd6cd97dde76533260723b4da1bea1311a372c2ee2bb91d9f3b721a1bafce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.13874",
    "kind": "arxiv",
    "version": 1
  }
}