Pith Number

pith:MDJZBBWY

pith:2014:MDJZBBWYSTRNGSVHTYGMIJ7FBI

not attested not anchored not stored refs pending

Canonical Duality-Triality Theory: Bridge Between Nonconvex Analysis/Mechanics and Global Optimization in Complex Systems

David Y Gao, Ning Ruan, Vittorio Latorre

arxiv:1410.2665 v2 · 2014-10-10 · 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{MDJZBBWYSTRNGSVHTYGMIJ7FBI}

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	2026-05-18T02:32:45.735268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d39086d894e2d34aa79e0cc427e50a2981bdf05239723d0beeac35b59b8094

Aliases

arxiv: 1410.2665 · arxiv_version: 1410.2665v2 · doi: 10.48550/arxiv.1410.2665 · pith_short_12: MDJZBBWYSTRN · pith_short_16: MDJZBBWYSTRNGSVH · pith_short_8: MDJZBBWY

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/MDJZBBWYSTRNGSVHTYGMIJ7FBI \
  | 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: 60d39086d894e2d34aa79e0cc427e50a2981bdf05239723d0beeac35b59b8094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ae87be1d2ef7944cc004e515e4ccede940cfe21fb5bec3b843a88e3b7467c7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-10T02:50:59Z",
    "title_canon_sha256": "5a82af180f935150fffd70679a75d2b320bb18b9bd63e65acd2e35036b67c212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2665",
    "kind": "arxiv",
    "version": 2
  }
}