Pith Number

pith:65ZORH5A

pith:2012:65ZORH5ASUGIBJA7TFFKPYUV3B

not attested not anchored not stored refs pending

More Effective Crossover Operators for the All-Pairs Shortest Path Problem

Benjamin Doerr, Daniel Johannsen, Frank Neumann, Madeleine Theile, Timo K\"otzing

arxiv:1207.0369 v1 · 2012-07-02 · 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{65ZORH5ASUGIBJA7TFFKPYUV3B}

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	2026-05-18T02:21:08.602477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f772e89fa0950c80a41f994aa7e295d87d5b43b882f64325bf232af7e321dc6e

Aliases

arxiv: 1207.0369 · arxiv_version: 1207.0369v1 · doi: 10.48550/arxiv.1207.0369 · pith_short_12: 65ZORH5ASUGI · pith_short_16: 65ZORH5ASUGIBJA7 · pith_short_8: 65ZORH5A

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/65ZORH5ASUGIBJA7TFFKPYUV3B \
  | 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: f772e89fa0950c80a41f994aa7e295d87d5b43b882f64325bf232af7e321dc6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29bff65fe6032f3cd648f61d979de6783a1c27d65f49409898c240b46000fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2012-07-02T13:14:14Z",
    "title_canon_sha256": "8194f4373c1a57aecaa6a460b6bbfe36e75cdca21e83cd3faec7b5d159745770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0369",
    "kind": "arxiv",
    "version": 1
  }
}