Pith Number

pith:5TFCUW6E

pith:2013:5TFCUW6ENLNGA4UXJO7K7HESAR

not attested not anchored not stored refs pending

Majority out-dominating functions in digraphs

Akbar Azami, Karam Ebadi, Mart\'in Manrique

arxiv:1311.0475 v1 · 2013-11-03 · 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{5TFCUW6ENLNGA4UXJO7K7HESAR}

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	2026-05-18T03:08:05.824021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecca2a5bc46ada6072974bbeaf9c92046d1d2a2711ac937de9932f919bf8c8f4

Aliases

arxiv: 1311.0475 · arxiv_version: 1311.0475v1 · doi: 10.48550/arxiv.1311.0475 · pith_short_12: 5TFCUW6ENLNG · pith_short_16: 5TFCUW6ENLNGA4UX · pith_short_8: 5TFCUW6E

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/5TFCUW6ENLNGA4UXJO7K7HESAR \
  | 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: ecca2a5bc46ada6072974bbeaf9c92046d1d2a2711ac937de9932f919bf8c8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037446ed12fda5eb6b8851cabefb44a19db40758145f2bc9ba68ed796bae3b1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-03T15:19:41Z",
    "title_canon_sha256": "2bded424496d41d7b92699ac779d031bb1831156e92d8de93e24791616c2ee40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0475",
    "kind": "arxiv",
    "version": 1
  }
}