Pith Number

pith:AVKUGJMS

pith:2019:AVKUGJMSXTI5G6AJ6WNYSMWGSE

not attested not anchored not stored refs pending

Spanning Trees and Domination in Hypercubes

Jerrold R. Griggs

arxiv:1905.13292 v1 · 2019-05-30 · 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{AVKUGJMSXTI5G6AJ6WNYSMWGSE}

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	2026-05-17T23:44:35.397038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0555432592bcd1d37809f59b8932c69103927a9c922d8639dd05942a7e2dd19f

Aliases

arxiv: 1905.13292 · arxiv_version: 1905.13292v1 · doi: 10.48550/arxiv.1905.13292 · pith_short_12: AVKUGJMSXTI5 · pith_short_16: AVKUGJMSXTI5G6AJ · pith_short_8: AVKUGJMS

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/AVKUGJMSXTI5G6AJ6WNYSMWGSE \
  | 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: 0555432592bcd1d37809f59b8932c69103927a9c922d8639dd05942a7e2dd19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1838225bea591d696afc67f21abc2dca3af8d1627ca455f4a78ee60ecb785f90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-30T20:36:47Z",
    "title_canon_sha256": "d5a174979ec3e5ddeb96c4efcb8514a9ca80198e965859a76f8c97a4b83dd2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13292",
    "kind": "arxiv",
    "version": 1
  }
}