Pith Number

pith:FKH6BNLR

pith:2019:FKH6BNLRJXHT7NLL6W3KIMCXRS

not attested not anchored not stored refs pending

Stochastic Polynomial Optimization

Jiawang Nie, Liu Yang, Suhan Zhong

arxiv:1908.05689 v1 · 2019-08-15 · 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{FKH6BNLRJXHT7NLL6W3KIMCXRS}

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	2026-07-04T23:57:52.408796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8fe0b5714dcf3fb56bf5b6a430578cb19251699c36c1f7eca26ea589e42469

Aliases

arxiv: 1908.05689 · arxiv_version: 1908.05689v1 · doi: 10.48550/arxiv.1908.05689 · pith_short_12: FKH6BNLRJXHT · pith_short_16: FKH6BNLRJXHT7NLL · pith_short_8: FKH6BNLR

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/FKH6BNLRJXHT7NLL6W3KIMCXRS \
  | 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: 2a8fe0b5714dcf3fb56bf5b6a430578cb19251699c36c1f7eca26ea589e42469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be947a60f549e7b6c049b746b4112000a1b2cf50f8a0f0e71a9192888e8eb7d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-15T18:03:07Z",
    "title_canon_sha256": "fcbc54942f1dbc5d226317fc57ccbd849db9bd2ded1e1e43260415f9c89275c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05689",
    "kind": "arxiv",
    "version": 1
  }
}