Pith Number

pith:ZVDO7P3S

pith:2014:ZVDO7P3SYAQLPRDKDWKOMJ7DWM

not attested not anchored not stored refs pending

Optimal-Depth Sorting Networks

Daniel Bundala, Jakub Z\'avodn\'y, Lu\'is Cruz-Filipe, Michael Codish, Peter Schneider-Kamp

arxiv:1412.5302 v1 · 2014-12-17 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVDO7P3SYAQLPRDKDWKOMJ7DWM}

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	2026-05-18T00:56:26.244783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd46efbf72c020b7c46a1d94e627e3b32f43144ec88405f8439ec44338fc209f

Aliases

arxiv: 1412.5302 · arxiv_version: 1412.5302v1 · doi: 10.48550/arxiv.1412.5302 · pith_short_12: ZVDO7P3SYAQL · pith_short_16: ZVDO7P3SYAQLPRDK · pith_short_8: ZVDO7P3S

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/ZVDO7P3SYAQLPRDKDWKOMJ7DWM \
  | 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: cd46efbf72c020b7c46a1d94e627e3b32f43144ec88405f8439ec44338fc209f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39823af91ed23fcb93d9f00aae4c96c1277fbe5d17dfff9ceca097291879a2f0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-12-17T09:36:06Z",
    "title_canon_sha256": "1afc5a6a920a19c9ebb40d676a1090abbedb02e4999a78a6b4bcee05044ab11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5302",
    "kind": "arxiv",
    "version": 1
  }
}