Pith Number

pith:6JM5OYXN

pith:2013:6JM5OYXN4RXVOWKUVGKHEEX5FG

not attested not anchored not stored refs pending

Submodular Optimization with Submodular Cover and Submodular Knapsack Constraints

Jeff Bilmes, Rishabh Iyer

arxiv:1311.2106 v1 · 2013-11-08 · cs.DS · cs.AI · 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{6JM5OYXN4RXVOWKUVGKHEEX5FG}

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	2026-05-18T03:07:33.522700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f259d762ede46f575954a9947212fd299a17905a2ce42ae3a7de44c7f35f84fc

Aliases

arxiv: 1311.2106 · arxiv_version: 1311.2106v1 · doi: 10.48550/arxiv.1311.2106 · pith_short_12: 6JM5OYXN4RXV · pith_short_16: 6JM5OYXN4RXVOWKU · pith_short_8: 6JM5OYXN

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/6JM5OYXN4RXVOWKUVGKHEEX5FG \
  | 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: f259d762ede46f575954a9947212fd299a17905a2ce42ae3a7de44c7f35f84fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8fa32bdcabdeed787a1197dddbdf87b43f43911853dc19390212cd03a0498fe",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-11-08T23:28:02Z",
    "title_canon_sha256": "168e63ffd887ce1a67f06c66a8057c51fbdd01dcd829adfbbcb8e8d996a45009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2106",
    "kind": "arxiv",
    "version": 1
  }
}