Pith Number

pith:EP6R25Q3

pith:2024:EP6R25Q3KGK73J65VDLIJARMXP

not attested not anchored not stored refs pending

Competitive Facility Location with Market Expansion and Customer-centric Objective

Cuong Le, Minh Hoang Ha, Ngan Ha Duong, Tien Mai

arxiv:2412.17021 v1 · 2024-12-22 · math.OC · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EP6R25Q3KGK73J65VDLIJARMXP}

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	2026-07-05T09:53:16.696872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23fd1d761b5195fda7dda8d684822cbbcfc089c9b817620a9e45014b9939fde0

Aliases

arxiv: 2412.17021 · arxiv_version: 2412.17021v1 · doi: 10.48550/arxiv.2412.17021 · pith_short_12: EP6R25Q3KGK7 · pith_short_16: EP6R25Q3KGK73J65 · pith_short_8: EP6R25Q3

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/EP6R25Q3KGK73J65VDLIJARMXP \
  | 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: 23fd1d761b5195fda7dda8d684822cbbcfc089c9b817620a9e45014b9939fde0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80dca7a9ae1971876b061080ec4718286dbadba7fe8fc90b40b5ffd95683ab2f",
    "cross_cats_sorted": [
      "econ.EM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-22T13:53:58Z",
    "title_canon_sha256": "59212ed46621c0c8fbddc91ce6f095a1fb2cbc9e91f26eb0e4215da65b2a9a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17021",
    "kind": "arxiv",
    "version": 1
  }
}