Pith Number

pith:RJUBI3DS

pith:2013:RJUBI3DSKZFNPBK5TGXCWPJ4V4

not attested not anchored not stored refs pending

Optimal placement of Marine Protected Areas

Patrick de Leenheer

arxiv:1307.1581 v1 · 2013-07-05 · 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{RJUBI3DSKZFNPBK5TGXCWPJ4V4}

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	2026-05-18T03:19:12.481458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a68146c72564ad7855d99ae2b3d3caf213d7d68b18fb89daa596fa803219113

Aliases

arxiv: 1307.1581 · arxiv_version: 1307.1581v1 · doi: 10.48550/arxiv.1307.1581 · pith_short_12: RJUBI3DSKZFN · pith_short_16: RJUBI3DSKZFNPBK5 · pith_short_8: RJUBI3DS

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/RJUBI3DSKZFNPBK5TGXCWPJ4V4 \
  | 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: 8a68146c72564ad7855d99ae2b3d3caf213d7d68b18fb89daa596fa803219113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf8c64023a9c537b579bfd976e4f0d572777bb952d4264075ba6101d4e25e19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-05T10:59:34Z",
    "title_canon_sha256": "627fba637fb8c20101fcef837bd32fa6fced9a0aa8e40b2e46f1bfba29428c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1581",
    "kind": "arxiv",
    "version": 1
  }
}