Pith Number

pith:NLLNHMLO

pith:2021:NLLNHMLOG47S5LTPMP4EZUBRGG

not attested not anchored not stored refs pending

A Case Study of Vehicle Route Optimization

Anthony Stein, Christian Krupitzer, Maximilian K\"onig, Samuel Kounev, Veronika Lesch

arxiv:2111.09087 v1 · 2021-11-17 · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLLNHMLOG47S5LTPMP4EZUBRGG}

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	2026-07-05T03:47:55.782238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad6d3b16e373f2eae6f63f84cd0313182e15f330ae0ecc4f95cd8cc0e6139c0

Aliases

arxiv: 2111.09087 · arxiv_version: 2111.09087v1 · doi: 10.48550/arxiv.2111.09087 · pith_short_12: NLLNHMLOG47S · pith_short_16: NLLNHMLOG47S5LTP · pith_short_8: NLLNHMLO

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/NLLNHMLOG47S5LTPMP4EZUBRGG \
  | 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: 6ad6d3b16e373f2eae6f63f84cd0313182e15f330ae0ecc4f95cd8cc0e6139c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a256ce7c08969cba4293d45f9d3082c0c4994da823d7cb64f6bd5e64aea569",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2021-11-17T13:10:55Z",
    "title_canon_sha256": "9a1731c3d8dbe50d8fc0b80a0226efd011f25275c12be59759b988fd2bfa1a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09087",
    "kind": "arxiv",
    "version": 1
  }
}