Pith Number

pith:J33GTX77

pith:2025:J33GTX774GC5EC5WHI24DUBXRM

not attested not anchored not stored refs pending

Vertex addition to a ball graph with application to reliability and area coverage in autonomous swarms

Calum Buchanan, Hamid R. Ossareh, James Bagrow, Puck Rombach

arxiv:2506.19197 v3 · 2025-06-23 · cs.DC · math.CO · 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{J33GTX774GC5EC5WHI24DUBXRM}

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	2026-07-05T11:49:10.968945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef669dfffe185d20bb63a35c1d0378b39f7383d8a3928abd558f1c442b11b00

Aliases

arxiv: 2506.19197 · arxiv_version: 2506.19197v3 · doi: 10.48550/arxiv.2506.19197 · pith_short_12: J33GTX774GC5 · pith_short_16: J33GTX774GC5EC5W · pith_short_8: J33GTX77

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/J33GTX774GC5EC5WHI24DUBXRM \
  | 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: 4ef669dfffe185d20bb63a35c1d0378b39f7383d8a3928abd558f1c442b11b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b6f73ce85c47e41a495ab156b67d39cfa6d0c3967bb133caa7d1604aaf28eb",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2025-06-23T23:52:48Z",
    "title_canon_sha256": "3924fb9750787d47d07101666d4756ba8d9f8ed27e51443c41691d2170cdc666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19197",
    "kind": "arxiv",
    "version": 3
  }
}