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Pith Number

pith:X5AJEPUI

pith:2016:X5AJEPUINZSBYINWFCBOLQN2WV
not attested not anchored not stored refs pending

On the optimality of grid cells

Christos H. Papadimitriou

arxiv:1606.04876 v1 · 2016-06-15 · q-bio.NC · cs.OH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X5AJEPUINZSBYINWFCBOLQN2WV}

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 2026-05-18T01:12:23.210254Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf40923e886e641c21b62882e5c1bab55a3475ecd25afbd337b39564cf8a7b08

Aliases

arxiv: 1606.04876 · arxiv_version: 1606.04876v1 · doi: 10.48550/arxiv.1606.04876 · pith_short_12: X5AJEPUINZSB · pith_short_16: X5AJEPUINZSBYINW · pith_short_8: X5AJEPUI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5AJEPUINZSBYINWFCBOLQN2WV \
  | 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: bf40923e886e641c21b62882e5c1bab55a3475ecd25afbd337b39564cf8a7b08
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3574d8a6bd30fbff2eaf68b05eb22dac4a3373a6c277e3b6e4f2695f76f51882",
    "cross_cats_sorted": [
      "cs.OH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2016-06-15T17:36:44Z",
    "title_canon_sha256": "8c2a27819d8e6318e3908508e7ed9505590e201c7c7a218ce28932f5f937e28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04876",
    "kind": "arxiv",
    "version": 1
  }
}