Pith Number

pith:A6CRDQTU

pith:2015:A6CRDQTUJOSULRMJIDMGTDMBAA

not attested not anchored not stored refs pending

A Frank-Wolfe Based Branch-and-Bound Algorithm for Mean-Risk Optimization

Christoph Buchheim, Francesco Rinaldi, Long Trieu, Marianna De Santis

arxiv:1507.05914 v4 · 2015-07-21 · 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{A6CRDQTUJOSULRMJIDMGTDMBAA}

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	2026-05-18T00:45:01.870086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

078511c2744ba545c58940d8698d8100082b2941bc7574076171eef56324211b

Aliases

arxiv: 1507.05914 · arxiv_version: 1507.05914v4 · doi: 10.48550/arxiv.1507.05914 · pith_short_12: A6CRDQTUJOSU · pith_short_16: A6CRDQTUJOSULRMJ · pith_short_8: A6CRDQTU

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/A6CRDQTUJOSULRMJIDMGTDMBAA \
  | 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: 078511c2744ba545c58940d8698d8100082b2941bc7574076171eef56324211b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01492f214b0cd897bd64804398de0125d6618576f345f58e6d005c37cf9b7129",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-21T17:11:49Z",
    "title_canon_sha256": "5d1f510707db55c5062dafc66edd1f5966eb24a132471092e8928d8e8939ce37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05914",
    "kind": "arxiv",
    "version": 4
  }
}