Pith Number

pith:LAW3JGZ5

pith:2013:LAW3JGZ55XWDU6CILKKE2RUYXS

not attested not anchored not stored refs pending

A maximization problem in tropical mathematics: a complete solution and application examples

Nikolai Krivulin

arxiv:1304.7461 v1 · 2013-04-28 · 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{LAW3JGZ55XWDU6CILKKE2RUYXS}

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	2026-05-18T00:55:28.968823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582db49b3dedec3a78485a944d4698bcbd96e8833fbef69c073b4e2a41edbfb4

Aliases

arxiv: 1304.7461 · arxiv_version: 1304.7461v1 · doi: 10.48550/arxiv.1304.7461 · pith_short_12: LAW3JGZ55XWD · pith_short_16: LAW3JGZ55XWDU6CI · pith_short_8: LAW3JGZ5

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/LAW3JGZ55XWDU6CILKKE2RUYXS \
  | 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: 582db49b3dedec3a78485a944d4698bcbd96e8833fbef69c073b4e2a41edbfb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02786920accc20d49f05afb0035758d9a6eee9a2ee16c5da2502fa84669e2ae3",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-28T12:32:03Z",
    "title_canon_sha256": "70f50184f300553c89deef70f954cbe49c6b90ce9b694fcd660fb3f2ce69b60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7461",
    "kind": "arxiv",
    "version": 1
  }
}