Pith Number

pith:6DPFSNIV

pith:2019:6DPFSNIVPNJ263EPZ6PEX26GVL

not attested not anchored not stored refs pending

Arc-disjoint in- and out-branchings rooted at the same vertex in compositions of digraphs

Gregory Gutin, Yuefang Sun

arxiv:1906.08052 v1 · 2019-06-19 · cs.DM · 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{6DPFSNIVPNJ263EPZ6PEX26GVL}

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	2026-05-17T23:42:54.752709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0de5935157b53af6c8fcf9e4bebc6aaddc9f54ee23b85d7ea08897534f9d39f

Aliases

arxiv: 1906.08052 · arxiv_version: 1906.08052v1 · doi: 10.48550/arxiv.1906.08052 · pith_short_12: 6DPFSNIVPNJ2 · pith_short_16: 6DPFSNIVPNJ263EP · pith_short_8: 6DPFSNIV

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/6DPFSNIVPNJ263EPZ6PEX26GVL \
  | 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: f0de5935157b53af6c8fcf9e4bebc6aaddc9f54ee23b85d7ea08897534f9d39f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1653d1af16e2bf6a68a47e7f0edd4c740bd07db6d35722a4657c6b53ea9094",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-06-19T12:18:21Z",
    "title_canon_sha256": "d7c5fa3487b7fdd00b45c75ee98a9637a060e44efeba41ff012a784874a3d8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08052",
    "kind": "arxiv",
    "version": 1
  }
}