Pith Number

pith:C3VK4LFY

pith:2014:C3VK4LFYG4PMDMY44LM3VNFZWX

not attested not anchored not stored refs pending

On the largest dynamic monopolies of graphs with a given average threshold

Kaveh Khoshkhah, Manouchehr Zaker

arxiv:1405.6138 v1 · 2014-05-23 · 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{C3VK4LFYG4PMDMY44LM3VNFZWX}

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	2026-05-18T02:51:14.011388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16eaae2cb8371ec1b31ce2d9bab4b9b5e62f8a06e292ab5b06b5f0d0bae109ff

Aliases

arxiv: 1405.6138 · arxiv_version: 1405.6138v1 · doi: 10.48550/arxiv.1405.6138 · pith_short_12: C3VK4LFYG4PM · pith_short_16: C3VK4LFYG4PMDMY4 · pith_short_8: C3VK4LFY

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/C3VK4LFYG4PMDMY44LM3VNFZWX \
  | 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: 16eaae2cb8371ec1b31ce2d9bab4b9b5e62f8a06e292ab5b06b5f0d0bae109ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e751e23aad8813b53e87cb4361e701e1f97941718c99835925bf3dad50c3a4d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-23T17:38:31Z",
    "title_canon_sha256": "a716f7f6190582446886d0ab1c07de21c4a13795b4e30feaee7d011fc64dedd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6138",
    "kind": "arxiv",
    "version": 1
  }
}