Pith Number

pith:ZLGHM54C

pith:2016:ZLGHM54CWDDKZHMX5RU62W6DO7

not attested not anchored not stored refs pending

How Hard Is It to Control A Group?

Dinko Dimitrov, Yongjie Yang

arxiv:1606.03366 v3 · 2016-06-10 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLGHM54CWDDKZHMX5RU62W6DO7}

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	2026-05-18T00:17:19.793459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacc767782b0c6ac9d97ec69ed5bc377e02ba2acd5881b9f148b896168d3c1b2

Aliases

arxiv: 1606.03366 · arxiv_version: 1606.03366v3 · doi: 10.48550/arxiv.1606.03366 · pith_short_12: ZLGHM54CWDDK · pith_short_16: ZLGHM54CWDDKZHMX · pith_short_8: ZLGHM54C

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/ZLGHM54CWDDKZHMX5RU62W6DO7 \
  | 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: cacc767782b0c6ac9d97ec69ed5bc377e02ba2acd5881b9f148b896168d3c1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6139975f01cce47e2235fa1d0c34c7d19ce2bfbb78d9a42703a2991d79b032d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-06-10T15:26:34Z",
    "title_canon_sha256": "e1c0bfacc7533839c83fbe11cbb0399e8a49827733a8161a61d7e3dd75ebc7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03366",
    "kind": "arxiv",
    "version": 3
  }
}