Pith Number

pith:JECIZJMX

pith:2011:JECIZJMXTPWP77UULZLTFBZDPJ

not attested not anchored not stored refs pending

Learning with Submodular Functions: A Convex Optimization Perspective

Francis Bach (LIENS, INRIA Paris - Rocquencourt)

arxiv:1111.6453 v2 · 2011-11-28 · cs.LG · 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{JECIZJMXTPWP77UULZLTFBZDPJ}

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

2 papers in Pith

Adaptive Threshold-Driven Continuous Greedy Method for Scalable Submodular Optimization

Receipt and verification

First computed	2026-05-18T03:11:09.774536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49048ca5979becfffe945e573287237a63d7104597a3aca274257bf9cc6477cc

Aliases

arxiv: 1111.6453 · arxiv_version: 1111.6453v2 · doi: 10.48550/arxiv.1111.6453 · pith_short_12: JECIZJMXTPWP · pith_short_16: JECIZJMXTPWP77UU · pith_short_8: JECIZJMX

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/JECIZJMXTPWP77UULZLTFBZDPJ \
  | 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: 49048ca5979becfffe945e573287237a63d7104597a3aca274257bf9cc6477cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4107e9429c8ff05a2079e03c6c7bc802d0704b350e1b783749207913ca48ec",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2011-11-28T14:45:01Z",
    "title_canon_sha256": "e64fdf6a69abf41d39e67450dcc875b80ca255f959a554d247654b5fee512ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6453",
    "kind": "arxiv",
    "version": 2
  }
}