Pith Number

pith:3JYPMLTW

pith:2023:3JYPMLTWJBTYDTABQJATCBP2LP

not attested not anchored not stored refs pending

Spanning trees in graphs without large bipartite holes

Donglei Yang, Guanghui Wang, Jie Han, Jie Hu, Lidan Ping, Yi Wang

arxiv:2302.03966 v1 · 2023-02-08 · 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{3JYPMLTWJBTYDTABQJATCBP2LP}

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	2026-07-05T05:39:59.755900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da70f62e76486781cc0182413105fa5be628bac697d0f4af6615ec26678a50f3

Aliases

arxiv: 2302.03966 · arxiv_version: 2302.03966v1 · doi: 10.48550/arxiv.2302.03966 · pith_short_12: 3JYPMLTWJBTY · pith_short_16: 3JYPMLTWJBTYDTAB · pith_short_8: 3JYPMLTW

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/3JYPMLTWJBTYDTABQJATCBP2LP \
  | 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: da70f62e76486781cc0182413105fa5be628bac697d0f4af6615ec26678a50f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b34d5756f2c974fc1a53cf2cdba37d07837a1a6b69ac4d20124198469f3602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-08T09:49:01Z",
    "title_canon_sha256": "ee053b9f9bc58be5de1880d561a4796ec106722b78e824239e71af728ec9999e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.03966",
    "kind": "arxiv",
    "version": 1
  }
}