Pith Number

pith:TRNM26I3

pith:2012:TRNM26I3AVQSFLM7UJMYUGZWIV

not attested not anchored not stored refs pending

Algebraic solution to a constrained rectilinear minimax location problem on the plane

Nikolai Krivulin

arxiv:1212.6089 v1 · 2012-12-25 · math.OC · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRNM26I3AVQSFLM7UJMYUGZWIV}

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	2026-05-18T03:37:42.808201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5acd791b056122ad9fa2598a1b3645412d36a735c1e2bd005e94a2feebd287

Aliases

arxiv: 1212.6089 · arxiv_version: 1212.6089v1 · doi: 10.48550/arxiv.1212.6089 · pith_short_12: TRNM26I3AVQS · pith_short_16: TRNM26I3AVQSFLM7 · pith_short_8: TRNM26I3

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/TRNM26I3AVQSFLM7UJMYUGZWIV \
  | 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: 9c5acd791b056122ad9fa2598a1b3645412d36a735c1e2bd005e94a2feebd287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac06a98af917c3ef64a2f82cd337c89bf52fbebca82b88397049a7f2bc17416",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-25T22:16:11Z",
    "title_canon_sha256": "fb7eb32b4acd0ea1cf792691b47ee9408d34aae2ab361f804cc88f3fd14dd466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6089",
    "kind": "arxiv",
    "version": 1
  }
}