Pith Number

pith:QEPYPCJR

pith:2013:QEPYPCJR4KNIA3UARPRQVSTDEJ

not attested not anchored not stored refs pending

Direct solutions to tropical optimization problems with nonlinear objective functions and boundary constraints

Karel Zimmermann, Nikolai Krivulin

arxiv:1311.2311 v1 · 2013-11-10 · 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{QEPYPCJR4KNIA3UARPRQVSTDEJ}

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	2026-05-18T03:07:32.987308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811f878931e29a806e808be30aca63224bf58cf892adb51a57a83334eafee0f7

Aliases

arxiv: 1311.2311 · arxiv_version: 1311.2311v1 · doi: 10.48550/arxiv.1311.2311 · pith_short_12: QEPYPCJR4KNI · pith_short_16: QEPYPCJR4KNIA3UA · pith_short_8: QEPYPCJR

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/QEPYPCJR4KNIA3UARPRQVSTDEJ \
  | 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: 811f878931e29a806e808be30aca63224bf58cf892adb51a57a83334eafee0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9d4f74645b29c8788694261c9133ea050ead7bf73082995b939f59b4c7d45a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-10T22:29:56Z",
    "title_canon_sha256": "768b3699b2dec2909cb312ed55377a92aae9029712b6488b552276fc32bc149a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2311",
    "kind": "arxiv",
    "version": 1
  }
}