Pith Number

pith:FZ63KQHQ

pith:2018:FZ63KQHQKKTGUPIGVGZLB6SL3C

not attested not anchored not stored refs pending

Fast approximation and exact computation of negative curvature parameters of graphs

Abdulhakeem Mohammed, Feodor F. Dragan, Guillaume Ducoffe, J\'er\'emie Chalopin, Victor Chepoi, Yann Vax\`es

arxiv:1803.06324 v3 · 2018-03-16 · cs.DS · cs.CG · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ63KQHQKKTGUPIGVGZLB6SL3C}

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	2026-05-17T23:44:04.742310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7db540f052a66a3d06a9b2b0fa4bd896f2aacf26bbfa38d1dc2662bc646565

Aliases

arxiv: 1803.06324 · arxiv_version: 1803.06324v3 · doi: 10.48550/arxiv.1803.06324 · pith_short_12: FZ63KQHQKKTG · pith_short_16: FZ63KQHQKKTGUPIG · pith_short_8: FZ63KQHQ

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/FZ63KQHQKKTGUPIGVGZLB6SL3C \
  | 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: 2e7db540f052a66a3d06a9b2b0fa4bd896f2aacf26bbfa38d1dc2662bc646565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8553157e7ecabef56876bb77ec8fda69aff0841789167902d310ef80d46318b9",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-03-16T17:25:06Z",
    "title_canon_sha256": "0c9e928932506631f78f0ba1e68a6609ea00a8ed718f38ba1887952308623f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06324",
    "kind": "arxiv",
    "version": 3
  }
}