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Pith Number

pith:FIZDMMW4

pith:2017:FIZDMMW45U7R3UKBOZQ36MS7DF
not attested not anchored not stored refs pending

Thorup-Zwick Emulators are Universally Optimal Hopsets

Seth Pettie, Shang-En Huang

arxiv:1705.00327 v1 · 2017-04-30 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FIZDMMW45U7R3UKBOZQ36MS7DF}

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 2026-05-18T00:45:20.770488Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a323632dced3f1dd1417661bf325f19668439843aa3106dd03b9344677d44c1

Aliases

arxiv: 1705.00327 · arxiv_version: 1705.00327v1 · doi: 10.48550/arxiv.1705.00327 · pith_short_12: FIZDMMW45U7R · pith_short_16: FIZDMMW45U7R3UKB · pith_short_8: FIZDMMW4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FIZDMMW45U7R3UKBOZQ36MS7DF \
  | 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: 2a323632dced3f1dd1417661bf325f19668439843aa3106dd03b9344677d44c1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "242667e9b44e5d06937cc0baee80d80a0ab6b03187e4da8e951a1b06e6701cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-04-30T15:34:02Z",
    "title_canon_sha256": "b078187774d59f22719181b58187cc2baef1c05d65688e915c108b42054eb32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00327",
    "kind": "arxiv",
    "version": 1
  }
}