Pith Number

pith:CBNMNQR7

pith:2016:CBNMNQR7S5L2BCQXVGWSMBDB3K

not attested not anchored not stored refs pending

Random constraint sampling and duality for convex optimization

William B. Haskell, Yu Pengqian

arxiv:1610.06702 v2 · 2016-10-21 · 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{CBNMNQR7S5L2BCQXVGWSMBDB3K}

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	2026-05-18T00:56:37.528447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105ac6c23f9757a08a17a9ad260461daa719b3b2a98163edb62d346af57e7c82

Aliases

arxiv: 1610.06702 · arxiv_version: 1610.06702v2 · doi: 10.48550/arxiv.1610.06702 · pith_short_12: CBNMNQR7S5L2 · pith_short_16: CBNMNQR7S5L2BCQX · pith_short_8: CBNMNQR7

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/CBNMNQR7S5L2BCQXVGWSMBDB3K \
  | 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: 105ac6c23f9757a08a17a9ad260461daa719b3b2a98163edb62d346af57e7c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6f592366af0f7a9d9a266319bdd395c21b0ef92c0d28c14397cd5df45fee55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-21T08:47:23Z",
    "title_canon_sha256": "042747b550e9fef6a9380239250fa650328698ed28e18ad084cb5bdb49b3f451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06702",
    "kind": "arxiv",
    "version": 2
  }
}