Pith Number

pith:TH2U5MZD

pith:2015:TH2U5MZD44YKNVDTHJLNQNW6QU

not attested not anchored not stored refs pending

Polyhedral aspects of Submodularity, Convexity and Concavity

Jeff Bilmes, Rishabh Iyer

arxiv:1506.07329 v2 · 2015-06-24 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH2U5MZD44YKNVDTHJLNQNW6QU}

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

SMA: Submodular Modality Aligner For Data Efficient Multimodal Learning

Receipt and verification

First computed	2026-05-18T01:33:42.766124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f54eb323e730a6d4733a56d836de85039ec8fc720a62f2c46d512873cd6881

Aliases

arxiv: 1506.07329 · arxiv_version: 1506.07329v2 · doi: 10.48550/arxiv.1506.07329 · pith_short_12: TH2U5MZD44YK · pith_short_16: TH2U5MZD44YKNVDT · pith_short_8: TH2U5MZD

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/TH2U5MZD44YKNVDTHJLNQNW6QU \
  | 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: 99f54eb323e730a6d4733a56d836de85039ec8fc720a62f2c46d512873cd6881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949ca218bca5214debe8b67072c091a14f9bf3ef0aaa573137731d6761cca249",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-06-24T11:45:28Z",
    "title_canon_sha256": "d55e1cc5d5861515f130669ab9d94aea6d7c5122a421310be24419f60a9eab9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07329",
    "kind": "arxiv",
    "version": 2
  }
}