Pith Number

pith:Z7X47WG2

pith:2019:Z7X47WG2E2LHLVDZXJ7UFG5GFF

not attested not anchored not stored refs pending

A Sublinear Bound on the Cop Throttling Number of a Graph

Anthony Bonato, Sean English

arxiv:1901.09011 v1 · 2019-01-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7X47WG2E2LHLVDZXJ7UFG5GFF}

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	2026-05-17T23:55:30.967068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfefcfd8da269675d479ba7f429ba62950d8b52e196d6a375737dbfe73989719

Aliases

arxiv: 1901.09011 · arxiv_version: 1901.09011v1 · doi: 10.48550/arxiv.1901.09011 · pith_short_12: Z7X47WG2E2LH · pith_short_16: Z7X47WG2E2LHLVDZ · pith_short_8: Z7X47WG2

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/Z7X47WG2E2LHLVDZXJ7UFG5GFF \
  | 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: cfefcfd8da269675d479ba7f429ba62950d8b52e196d6a375737dbfe73989719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca40a1c85861125d1373645652e9596a5ea6d506b22ee4d857d7bea39dc5d52",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-25T18:24:55Z",
    "title_canon_sha256": "2de4baa87cc1b67d527f1f5265f0b33e10b55a91fecc9d36a1219dc2fa53ad08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09011",
    "kind": "arxiv",
    "version": 1
  }
}