Pith Number

pith:QRHLNBCB

pith:2018:QRHLNBCB3ZV4MPVKQSJ5DVDIXS

not attested not anchored not stored refs pending

Vehicle Routing with Subtours

Jens Vygen, Jochen K\"onemann, Stephan Held

arxiv:1801.04991 v1 · 2018-01-15 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRHLNBCB3ZV4MPVKQSJ5DVDIXS}

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	2026-05-18T00:25:50.381565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844eb68441de6bc63eaa8493d1d468bca764af7ff0621ef45b9a9a4ffbf2c903

Aliases

arxiv: 1801.04991 · arxiv_version: 1801.04991v1 · doi: 10.48550/arxiv.1801.04991 · pith_short_12: QRHLNBCB3ZV4 · pith_short_16: QRHLNBCB3ZV4MPVK · pith_short_8: QRHLNBCB

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/QRHLNBCB3ZV4MPVKQSJ5DVDIXS \
  | 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: 844eb68441de6bc63eaa8493d1d468bca764af7ff0621ef45b9a9a4ffbf2c903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d002d240e65b1f23a997cd6963ae864852718a431b71c0850ae5362ccb3e4a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-01-15T20:33:06Z",
    "title_canon_sha256": "bab48dd5ab0b810bf7a436b1003982c28d7ed5eb71b90f11f8f1ca837f21c76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04991",
    "kind": "arxiv",
    "version": 1
  }
}