Pith Number

pith:WWHAFG2F

pith:2011:WWHAFG2FX2ZUFBDZY74SC2UZH4

not attested not anchored not stored refs pending

Approximations for Monotone and Non-monotone Submodular Maximization with Knapsack Constraints

Ariel Kulik, Hadas Shachnai, Tami Tamir

arxiv:1101.2940 v1 · 2011-01-15 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWHAFG2FX2ZUFBDZY74SC2UZH4}

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	2026-05-18T04:31:30.706245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58e029b45beb3428479c7f9216a993f2a204bdcb2b49904192bcbbf0cb95cc8

Aliases

arxiv: 1101.2940 · arxiv_version: 1101.2940v1 · doi: 10.48550/arxiv.1101.2940 · pith_short_12: WWHAFG2FX2ZU · pith_short_16: WWHAFG2FX2ZUFBDZ · pith_short_8: WWHAFG2F

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/WWHAFG2FX2ZUFBDZY74SC2UZH4 \
  | 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: b58e029b45beb3428479c7f9216a993f2a204bdcb2b49904192bcbbf0cb95cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38cb4d2eadb1736f8471437864084d48ed048e855b365bfa865243a0d29a2ba3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-01-15T04:21:35Z",
    "title_canon_sha256": "0638ebf427acf7612c522f6c0c0938a2596320706d647de0d7a0e512acf47bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2940",
    "kind": "arxiv",
    "version": 1
  }
}