Pith Number

pith:HD7EWOL6

pith:2013:HD7EWOL6MG4LFY66UMRIHJXGGY

not attested not anchored not stored refs pending

A multidimensional tropical optimization problem with nonlinear objective function and linear constraints

Nikolai Krivulin

arxiv:1303.0542 v2 · 2013-03-03 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD7EWOL6MG4LFY66UMRIHJXGGY}

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	2026-05-18T02:23:58.965808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38fe4b397e61b8b2e3dea32283a6e636061fe35038dca900d50c1e9892fe0812

Aliases

arxiv: 1303.0542 · arxiv_version: 1303.0542v2 · doi: 10.48550/arxiv.1303.0542 · pith_short_12: HD7EWOL6MG4L · pith_short_16: HD7EWOL6MG4LFY66 · pith_short_8: HD7EWOL6

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/HD7EWOL6MG4LFY66UMRIHJXGGY \
  | 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: 38fe4b397e61b8b2e3dea32283a6e636061fe35038dca900d50c1e9892fe0812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00fc40824865cf1ae0f9de0bdb690d2c88c686536e2291862ccbdb1cca581ffd",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-03T18:40:24Z",
    "title_canon_sha256": "733c7a42db335211ea01a372ecf6b0f050e5e7e5c1da04500a17c30edd856e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0542",
    "kind": "arxiv",
    "version": 2
  }
}