Pith Number

pith:E52P7F24

pith:2021:E52P7F24I4XLP7QWV6XS55P6HN

not attested not anchored not stored refs pending

Adaptive Large Neighborhood Search for Vehicle Routing Problems with Transshipment Facilities Arising in City Logistics

Christian Friedrich, Ralf Elbert

arxiv:2107.06086 v1 · 2021-07-08 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E52P7F24I4XLP7QWV6XS55P6HN}

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	2026-07-05T03:11:13.682325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2774ff975c472eb7fe16afaf2ef5fe3b60662d2fedc9da4898cf987dec35d2ee

Aliases

arxiv: 2107.06086 · arxiv_version: 2107.06086v1 · doi: 10.48550/arxiv.2107.06086 · pith_short_12: E52P7F24I4XL · pith_short_16: E52P7F24I4XLP7QW · pith_short_8: E52P7F24

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/E52P7F24I4XLP7QWV6XS55P6HN \
  | 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: 2774ff975c472eb7fe16afaf2ef5fe3b60662d2fedc9da4898cf987dec35d2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9949fee4762b34c7e182bdad17c5e19a495e20a8f5231fe7734267dac67a4943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-07-08T09:46:27Z",
    "title_canon_sha256": "c5c44d30ba89307e22f1d7086e54da92ce3f5337e3ee0fc739d33e16ecd6b3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06086",
    "kind": "arxiv",
    "version": 1
  }
}