Pith Number

pith:DWW3PQD3

pith:2011:DWW3PQD3XDWEEBTLL6YSTFVBRF

not attested not anchored not stored refs pending

Combinatorial Batch Codes: A Lower Bound and Optimal Constructions

Bimal Roy, Srimanta Bhattacharya, Sushmita Ruj

arxiv:1102.4951 v1 · 2011-02-24 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWW3PQD3XDWEEBTLL6YSTFVBRF}

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.

Cited by

1 paper in Pith

Serving Every Symbol: All-Symbol PIR and Batch Codes

Receipt and verification

First computed	2026-05-18T04:27:57.696557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dadb7c07bb8ec42066b5fb12996a1894ce7b554dd81b5a2021b4adb66f0c724

Aliases

arxiv: 1102.4951 · arxiv_version: 1102.4951v1 · doi: 10.48550/arxiv.1102.4951 · pith_short_12: DWW3PQD3XDWE · pith_short_16: DWW3PQD3XDWEEBTL · pith_short_8: DWW3PQD3

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/DWW3PQD3XDWEEBTLL6YSTFVBRF \
  | 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: 1dadb7c07bb8ec42066b5fb12996a1894ce7b554dd81b5a2021b4adb66f0c724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f4abc63cfce8b96b922b4e1109f2f01211886ab3040154e665c1cc5f6a0327",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-02-24T10:39:46Z",
    "title_canon_sha256": "50b5f78c98b91ecb92f7693d4040951ca0f3fc9b693e3fb1906b13fbc8f43fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4951",
    "kind": "arxiv",
    "version": 1
  }
}