Pith Number

pith:PGFMEC4D

pith:2018:PGFMEC4DUL3LH7LNH4EUDZNGKB

not attested not anchored not stored refs pending

2VRP: a benchmark problem for small but rich VRPs

Bettina Klinz, Vladimir Deineko

arxiv:1802.08042 v1 · 2018-02-22 · 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{PGFMEC4DUL3LH7LNH4EUDZNGKB}

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	2026-05-18T00:22:45.765264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798ac20b83a2f6b3fd6d3f0941e5a65055c0708f429c30d8eecd43a039ee5879

Aliases

arxiv: 1802.08042 · arxiv_version: 1802.08042v1 · doi: 10.48550/arxiv.1802.08042 · pith_short_12: PGFMEC4DUL3L · pith_short_16: PGFMEC4DUL3LH7LN · pith_short_8: PGFMEC4D

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/PGFMEC4DUL3LH7LNH4EUDZNGKB \
  | 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: 798ac20b83a2f6b3fd6d3f0941e5a65055c0708f429c30d8eecd43a039ee5879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a6d207a753d43fd416ec3d72c491fbc1eaa0819c9d318a62a49f9d24ee7bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-22T13:50:06Z",
    "title_canon_sha256": "14f5cdb73a092c638f61109e35625d56883691004a4355f0ee4d4f2daccebdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08042",
    "kind": "arxiv",
    "version": 1
  }
}