Pith Number

pith:UZTEDI7B

pith:2015:UZTEDI7BVL446E6QXHXU4E3IHL

not attested not anchored not stored refs pending

Algebraic solution of tropical optimization problems via matrix sparsification with application to scheduling

Nikolai Krivulin

arxiv:1504.02602 v4 · 2015-04-10 · 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{UZTEDI7BVL446E6QXHXU4E3IHL}

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	2026-05-18T00:43:13.599450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66641a3e1aaf9cf13d0b9ef4e13683ac1bf910f790967bb983f8866123ff89d

Aliases

arxiv: 1504.02602 · arxiv_version: 1504.02602v4 · doi: 10.48550/arxiv.1504.02602 · pith_short_12: UZTEDI7BVL44 · pith_short_16: UZTEDI7BVL446E6Q · pith_short_8: UZTEDI7B

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/UZTEDI7BVL446E6QXHXU4E3IHL \
  | 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: a66641a3e1aaf9cf13d0b9ef4e13683ac1bf910f790967bb983f8866123ff89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5731d6d8fa34d4c1d7ffd50e605e60819e4cbe8dcd6d1c7c2f53ee7c83c4bf5",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-10T09:20:46Z",
    "title_canon_sha256": "61d69fe1d0d78fa954e1fbcac65415d9cfac29f5a46b9545651b478693dff554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02602",
    "kind": "arxiv",
    "version": 4
  }
}