Pith Number

pith:46QFWFVY

pith:2010:46QFWFVYJL4OJ4S5QX75LAFKW7

not attested not anchored not stored refs pending

Convex Analysis and Optimization with Submodular Functions: a Tutorial

Francis Bach (INRIA Rocquencourt, LIENS)

arxiv:1010.4207 v2 · 2010-10-20 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46QFWFVYJL4OJ4S5QX75LAFKW7}

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	2026-05-18T04:35:48.774860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a05b16b84af8e4f25d85ffd580aab7d509912f023f0be29a017b41ffa5ae32

Aliases

arxiv: 1010.4207 · arxiv_version: 1010.4207v2 · doi: 10.48550/arxiv.1010.4207 · pith_short_12: 46QFWFVYJL4O · pith_short_16: 46QFWFVYJL4OJ4S5 · pith_short_8: 46QFWFVY

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/46QFWFVYJL4OJ4S5QX75LAFKW7 \
  | 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: e7a05b16b84af8e4f25d85ffd580aab7d509912f023f0be29a017b41ffa5ae32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426b3137f9be256d6b522460bb3dc3c32332850d35ba96fc17bd715485855fc3",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2010-10-20T14:02:21Z",
    "title_canon_sha256": "fdf48a7bdd24ca338c3792c27f29b70836fc4034669313a63965f61aabd3fb1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4207",
    "kind": "arxiv",
    "version": 2
  }
}