Pith Number

pith:K5LQJ5P2

pith:2017:K5LQJ5P2TDZLA3N7HUUYJOFFBA

not attested not anchored not stored refs pending

Throttling for the game of Cops and Robbers on graphs

Boris Brimkov, Carolyn Reinhart, Jane Breen, Joshua Carlson, K.E. Perry, Leslie Hogben

arxiv:1712.07728 v2 · 2017-12-20 · 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{K5LQJ5P2TDZLA3N7HUUYJOFFBA}

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	2026-05-18T00:22:39.034604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575704f5fa98f2b06dbf3d2984b8a50804bd5470ea5398835256aec730b898e1

Aliases

arxiv: 1712.07728 · arxiv_version: 1712.07728v2 · doi: 10.48550/arxiv.1712.07728 · pith_short_12: K5LQJ5P2TDZL · pith_short_16: K5LQJ5P2TDZLA3N7 · pith_short_8: K5LQJ5P2

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/K5LQJ5P2TDZLA3N7HUUYJOFFBA \
  | 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: 575704f5fa98f2b06dbf3d2984b8a50804bd5470ea5398835256aec730b898e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a1fdbe579e8232af0bac2bc464950a4b413df626b63a648bca4fc223cd0dc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-20T22:11:36Z",
    "title_canon_sha256": "8a9ea938e2f5b835976fbe8c7d4cb632fb82c8e1eb20c1e7b9fa4b8950f393e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07728",
    "kind": "arxiv",
    "version": 2
  }
}