Pith Number

pith:Z2VY2FZM

pith:2013:Z2VY2FZM7JD22EOUSMPCEHNKRH

not attested not anchored not stored refs pending

Projection onto the probability simplex: An efficient algorithm with a simple proof, and an application

Miguel \'A. Carreira-Perpi\~n\'an, Weiran Wang

arxiv:1309.1541 v1 · 2013-09-06 · 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{Z2VY2FZM7JD22EOUSMPCEHNKRH}

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

5 papers in Pith

Improved Guarantees for Constrained Online Convex Optimization via Self-Contraction

Enhanced quantum capacity thresholds from symmetry

Local LMO: Constrained Gradient Optimization via a Local Linear Minimization Oracle

Enhanced quantum capacity thresholds from symmetry

Constrained Contextual Bandits with Adversarial Contexts

Receipt and verification

First computed	2026-05-18T03:13:59.186388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceab8d172cfa47ad11d4931e221daa89fdb7b37d661f232031a3486d85ebfc13

Aliases

arxiv: 1309.1541 · arxiv_version: 1309.1541v1 · doi: 10.48550/arxiv.1309.1541 · pith_short_12: Z2VY2FZM7JD2 · pith_short_16: Z2VY2FZM7JD22EOU · pith_short_8: Z2VY2FZM

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/Z2VY2FZM7JD22EOUSMPCEHNKRH \
  | 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: ceab8d172cfa47ad11d4931e221daa89fdb7b37d661f232031a3486d85ebfc13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af8eb9d72ed1290d9be91c01a09eeb697054190bf47fe2b8cf642b7caa789bbf",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2013-09-06T05:48:40Z",
    "title_canon_sha256": "da183178debb720da835272da7b7d793e3f896aad8c31a3bb14f3db983b6a1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1541",
    "kind": "arxiv",
    "version": 1
  }
}