Pith Number

pith:KXXEY5AC

pith:2013:KXXEY5ACOOCXPMBO24HLJDJ4OH

not attested not anchored not stored refs pending

A constrained tropical optimization problem: complete solution and application example

Nikolai Krivulin

arxiv:1305.1454 v2 · 2013-05-07 · 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{KXXEY5ACOOCXPMBO24HLJDJ4OH}

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	2026-05-18T02:51:57.101795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ee4c7402738577b02ed70eb48d3c71dc843c96737d5cfac241dd55f5e372bb

Aliases

arxiv: 1305.1454 · arxiv_version: 1305.1454v2 · doi: 10.48550/arxiv.1305.1454 · pith_short_12: KXXEY5ACOOCX · pith_short_16: KXXEY5ACOOCXPMBO · pith_short_8: KXXEY5AC

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/KXXEY5ACOOCXPMBO24HLJDJ4OH \
  | 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: 55ee4c7402738577b02ed70eb48d3c71dc843c96737d5cfac241dd55f5e372bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0de28a1f39ec85e93347acc09809b0e9b69ab6098d5adf3d9e0928196d9c0b8",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-07T10:02:30Z",
    "title_canon_sha256": "fe78d46d991ebe0524e482f56b5b88678a8c1052d60c6359676aead193a7667c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1454",
    "kind": "arxiv",
    "version": 2
  }
}