Pith Number

pith:NMMK553P

pith:2020:NMMK553P3D2XM4Q3OIQW4RY6RF

not attested not anchored not stored refs pending

A Polynomial Time Algorithm for Almost Optimal Vertex Fault Tolerant Spanners

Udit Agarwal

arxiv:2002.11617 v2 · 2020-02-26 · 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{NMMK553P3D2XM4Q3OIQW4RY6RF}

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	2026-07-05T00:46:06.727442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b18aef76fd8f576721b72216e471e897b03e90e9b355ae26364bfe673cf6149

Aliases

arxiv: 2002.11617 · arxiv_version: 2002.11617v2 · doi: 10.48550/arxiv.2002.11617 · pith_short_12: NMMK553P3D2X · pith_short_16: NMMK553P3D2XM4Q3 · pith_short_8: NMMK553P

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/NMMK553P3D2XM4Q3OIQW4RY6RF \
  | 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: 6b18aef76fd8f576721b72216e471e897b03e90e9b355ae26364bfe673cf6149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f202e2896c83f299f8900c9c5bd38f9612837c27cf8acc9780edd42f4a207211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-02-26T17:01:15Z",
    "title_canon_sha256": "a659f80e31eaec6b7073d3bdb1d5c583d9b517f2c039db36a5bcde824960a412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.11617",
    "kind": "arxiv",
    "version": 2
  }
}