Pith Number

pith:NHM6WPOG

pith:2013:NHM6WPOG44UXJOMNQBGRULNPPF

not attested not anchored not stored refs pending

Complete solution of a constrained tropical optimization problem with application to location analysis

Nikolai Krivulin

arxiv:1311.2795 v2 · 2013-11-12 · 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{NHM6WPOG44UXJOMNQBGRULNPPF}

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	2026-05-18T02:54:06.995780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d9eb3dc6e72974b98d804d1a2daf79666b21d4af40484ea4fba8e1379d0b7c

Aliases

arxiv: 1311.2795 · arxiv_version: 1311.2795v2 · doi: 10.48550/arxiv.1311.2795 · pith_short_12: NHM6WPOG44UX · pith_short_16: NHM6WPOG44UXJOMN · pith_short_8: NHM6WPOG

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/NHM6WPOG44UXJOMNQBGRULNPPF \
  | 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: 69d9eb3dc6e72974b98d804d1a2daf79666b21d4af40484ea4fba8e1379d0b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff9a8b176d924248d0b7375fae4c2a04d92137090819ac8f4ddf3df2665ba9c",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-12T14:38:28Z",
    "title_canon_sha256": "3d1000c26cea4ed1932b1374fa8a857a45f4bbe9b636994a8a6608b5cba67e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2795",
    "kind": "arxiv",
    "version": 2
  }
}