Pith Number

pith:HAHU4KO5

pith:2013:HAHU4KO5VQEKLB345HBRBTPVUY

not attested not anchored not stored refs pending

Improved Parallel Algorithms for Spanners and Hopsets

Adrian Vladu, Gary L. Miller, Richard Peng, Shen Chen Xu

arxiv:1309.3545 v3 · 2013-09-13 · 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{HAHU4KO5VQEKLB345HBRBTPVUY}

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	2026-05-18T01:39:55.409687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380f4e29ddac08a5877ce9c310cdf5a62e52021cf9f7279c517c7302253edc10

Aliases

arxiv: 1309.3545 · arxiv_version: 1309.3545v3 · doi: 10.48550/arxiv.1309.3545 · pith_short_12: HAHU4KO5VQEK · pith_short_16: HAHU4KO5VQEKLB34 · pith_short_8: HAHU4KO5

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/HAHU4KO5VQEKLB345HBRBTPVUY \
  | 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: 380f4e29ddac08a5877ce9c310cdf5a62e52021cf9f7279c517c7302253edc10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf97a4ba1bdbdd34b752829d642c195cdfd908dc2181d446961d85891ae7a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-13T19:27:36Z",
    "title_canon_sha256": "4d04730b95be7d067ce820d4d77820c46ed78c62bffd9167d856937518905cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3545",
    "kind": "arxiv",
    "version": 3
  }
}