Pith Number

pith:WFXWAIAR

pith:2015:WFXWAIARC74N2DGGXZQHBJ3TL2

not attested not anchored not stored refs pending

Global Optimal Trajectory in Chaos and NP-Hardness

David Yang Gao, Vittorio Latorre

arxiv:1512.08343 v1 · 2015-12-28 · 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{WFXWAIARC74N2DGGXZQHBJ3TL2}

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	2026-05-18T01:08:18.787984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16f60201117f8dd0cc6be6070a7735e94f25065765f3a8e8c4ed30046b3aef8

Aliases

arxiv: 1512.08343 · arxiv_version: 1512.08343v1 · doi: 10.48550/arxiv.1512.08343 · pith_short_12: WFXWAIARC74N · pith_short_16: WFXWAIARC74N2DGG · pith_short_8: WFXWAIAR

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/WFXWAIARC74N2DGGXZQHBJ3TL2 \
  | 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: b16f60201117f8dd0cc6be6070a7735e94f25065765f3a8e8c4ed30046b3aef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418ffb063968de8807c46a54092bce706dafd844283f43c0d036696f550f459e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-28T08:40:02Z",
    "title_canon_sha256": "16a6361699fe6c87fb2aef5924942e936c8fe16e983e81b1f2144f536b155edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08343",
    "kind": "arxiv",
    "version": 1
  }
}