Pith Number

pith:AO7Z6NGA

pith:2023:AO7Z6NGA4RU36LZPTX2HJOHLJS

not attested not anchored not stored refs pending

Improved Approximation Algorithms for the Joint Replenishment Problem with Outliers, and with Fairness Constraints

David Shmoys, Siddharth Gollapudi, Varun Sivashankar, Varun Suriyanarayana

arxiv:2308.04846 v1 · 2023-08-09 · cs.DS · 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{AO7Z6NGA4RU36LZPTX2HJOHLJS}

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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	2026-07-05T06:39:43.685554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03bf9f34c0e469bf2f2f9df474b8eb4c8a5c411d419fefc6afcd0fea7070dbd8

Aliases

arxiv: 2308.04846 · arxiv_version: 2308.04846v1 · doi: 10.48550/arxiv.2308.04846 · pith_short_12: AO7Z6NGA4RU3 · pith_short_16: AO7Z6NGA4RU36LZP · pith_short_8: AO7Z6NGA

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/AO7Z6NGA4RU36LZPTX2HJOHLJS \
  | 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: 03bf9f34c0e469bf2f2f9df474b8eb4c8a5c411d419fefc6afcd0fea7070dbd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24cae3a780999280e613040aafe7e85a4c550acbb91d108bf13d61866c2a2b0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-08-09T10:15:07Z",
    "title_canon_sha256": "40fc1841049f56e5ec1b1603490331f4bf4513ad661157cbdc79e0a110da7e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.04846",
    "kind": "arxiv",
    "version": 1
  }
}