Pith Number

pith:5KOD4QWM

pith:2019:5KOD4QWMYJCSTLJBAUL6AJDN6S

not attested not anchored not stored refs pending

Solving a Continuous Multifacility Location Problem by DC Algorithms

Anuj Bajaj, Boris Mordukhovich, Nguyen Mau Nam, Tuyen Tran

arxiv:1906.10331 v2 · 2019-06-25 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KOD4QWMYJCSTLJBAUL6AJDN6S}

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	2026-07-05T00:38:02.676371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9c3e42ccc24529ad210517e0246df48df09652e4a18eef6701b7a4fdf4dd9c

Aliases

arxiv: 1906.10331 · arxiv_version: 1906.10331v2 · doi: 10.48550/arxiv.1906.10331 · pith_short_12: 5KOD4QWMYJCS · pith_short_16: 5KOD4QWMYJCSTLJB · pith_short_8: 5KOD4QWM

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/5KOD4QWMYJCSTLJBAUL6AJDN6S \
  | 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: ea9c3e42ccc24529ad210517e0246df48df09652e4a18eef6701b7a4fdf4dd9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee01ec4cf08a3c44ff267c855de58dab35afac0d042222d6b291895df83927bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-25T05:55:26Z",
    "title_canon_sha256": "c2b2333fa79d7645bd6debddb70ebf9060d923ec1195883bbb1df16547688b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10331",
    "kind": "arxiv",
    "version": 2
  }
}