Pith Number

pith:NH53TXNA

pith:2018:NH53TXNAKOSSQ3YH3C7KA4V6HO

not attested not anchored not stored refs pending

Spanning trees with at most 2 branch vertices in claw - free graphs

Dang Dinh Hanh, Pham Hoang Ha

arxiv:1806.00734 v2 · 2018-06-03 · 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{NH53TXNAKOSSQ3YH3C7KA4V6HO}

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	2026-05-18T00:01:38.265027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69fbb9dda053a5286f07d8bea072be3b99fe6a1a005ce413deebbc8edb276399

Aliases

arxiv: 1806.00734 · arxiv_version: 1806.00734v2 · doi: 10.48550/arxiv.1806.00734 · pith_short_12: NH53TXNAKOSS · pith_short_16: NH53TXNAKOSSQ3YH · pith_short_8: NH53TXNA

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/NH53TXNAKOSSQ3YH3C7KA4V6HO \
  | 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: 69fbb9dda053a5286f07d8bea072be3b99fe6a1a005ce413deebbc8edb276399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1afe574d0ddf0facbb54ebd758d8e7ae4d6f2df55b2cbb3e397f6e1c33232c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-03T03:22:02Z",
    "title_canon_sha256": "3626fb480e50233a54097195a4895fca45150c789046e5d40f1ea08338df1765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00734",
    "kind": "arxiv",
    "version": 2
  }
}