Pith Number

pith:VNAEWLQT

pith:2020:VNAEWLQTTMOR5UX5KQMDP3GTLI

not attested not anchored not stored refs pending

A Linear-Time Algorithm for Discrete Radius Optimally Augmenting Paths in a Metric Space

Haitao Wang, Yiming Zhao

arxiv:2006.14093 v1 · 2020-06-24 · cs.DS · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNAEWLQTTMOR5UX5KQMDP3GTLI}

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	2026-07-05T01:13:28.946560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab404b2e139b1d1ed2fd541837ecd35a32cb422a08fd946dc4305e83112b6f76

Aliases

arxiv: 2006.14093 · arxiv_version: 2006.14093v1 · doi: 10.48550/arxiv.2006.14093 · pith_short_12: VNAEWLQTTMOR · pith_short_16: VNAEWLQTTMOR5UX5 · pith_short_8: VNAEWLQT

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/VNAEWLQTTMOR5UX5KQMDP3GTLI \
  | 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: ab404b2e139b1d1ed2fd541837ecd35a32cb422a08fd946dc4305e83112b6f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059a432b002b80c2356e36f8d69dd249a8bd37d4495838133163c0c98bd2d412",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-06-24T22:57:20Z",
    "title_canon_sha256": "48907fd8ac682c138a3b06db4eacd67753a6d9fe8a4bbf31813f8cafbeb96042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14093",
    "kind": "arxiv",
    "version": 1
  }
}