Pith Number

pith:KV26SSK5

pith:2011:KV26SSK5UGE6E673LCFMXGAY4J

not attested not anchored not stored refs pending

On cooperative patrolling: optimal trajectories, complexity analysis, and approximation algorithms

Antonio Franchi, Fabio Pasqualetti, Francesco Bullo

arxiv:1101.3973 v3 · 2011-01-20 · math.CO · cs.DS · cs.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV26SSK5UGE6E673LCFMXGAY4J}

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	2026-05-18T02:22:50.921291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5575e9495da189e27bfb588acb9818e24b7e55b65565551f18258215fe271267

Aliases

arxiv: 1101.3973 · arxiv_version: 1101.3973v3 · doi: 10.48550/arxiv.1101.3973 · pith_short_12: KV26SSK5UGE6 · pith_short_16: KV26SSK5UGE6E673 · pith_short_8: KV26SSK5

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/KV26SSK5UGE6E673LCFMXGAY4J \
  | 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: 5575e9495da189e27bfb588acb9818e24b7e55b65565551f18258215fe271267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dc30769d2c45e7a30670da955f70c5026d1d3a426ee40ae506957663996f28",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-20T17:25:43Z",
    "title_canon_sha256": "7a357033a0f58c5ce8fd7cad0c3ef60c54ff6363bb8feac24c646ee6b016df6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3973",
    "kind": "arxiv",
    "version": 3
  }
}