Pith Number

pith:37ZOVKQD

pith:2011:37ZOVKQDBLMION5P562KPYFSNC

not attested not anchored not stored refs pending

A Simple But Effective Canonical Dual Theory Unified Algorithm for Global Optimization

Jiapu Zhang

arxiv:1105.2270 v6 · 2011-05-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37ZOVKQDBLMION5P562KPYFSNC}

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	2026-05-18T03:46:45.602035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff2eaaa030ad88737afefb4a7e0b26897043019893f93e569c8d6cd73b611f6

Aliases

arxiv: 1105.2270 · arxiv_version: 1105.2270v6 · doi: 10.48550/arxiv.1105.2270 · pith_short_12: 37ZOVKQDBLMI · pith_short_16: 37ZOVKQDBLMION5P · pith_short_8: 37ZOVKQD

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/37ZOVKQDBLMION5P562KPYFSNC \
  | 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: dff2eaaa030ad88737afefb4a7e0b26897043019893f93e569c8d6cd73b611f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1ce02660c47a5dc6d74c3f18720cf72e126fa874355124d62238f046c2e650",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-11T18:37:24Z",
    "title_canon_sha256": "288821d1e1f873121639b5eade0cf89413719f6709a205a3da73ec4575d19f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2270",
    "kind": "arxiv",
    "version": 6
  }
}