Pith Number

pith:5J6XZ2OX

pith:2026:5J6XZ2OXV3OMHOS2O2JM7PF2RR

not attested not anchored not stored refs pending

Parallel Spectral Graph Sparsification via Low Diameter Decompositions

Gernot Z\"ocklein, Yves Baumann

arxiv:2607.25059 v1 · 2026-07-27 · cs.DS · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J6XZ2OXV3OMHOS2O2JM7PF2RR}

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	2026-07-29T00:25:00.418923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7d7ce9d7aedcc3ba5a7692cfbcba8c65a7ffc812c6f8d482f86cfc2c20266f

Aliases

arxiv: 2607.25059 · arxiv_version: 2607.25059v1 · doi: 10.48550/arxiv.2607.25059 · pith_short_12: 5J6XZ2OXV3OM · pith_short_16: 5J6XZ2OXV3OMHOS2 · pith_short_8: 5J6XZ2OX

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/5J6XZ2OXV3OMHOS2O2JM7PF2RR \
  | 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: ea7d7ce9d7aedcc3ba5a7692cfbcba8c65a7ffc812c6f8d482f86cfc2c20266f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da742bfd5e8ea4facde68306318fc72df25d6fa4f03d7176b0e443091865ec7",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-27T20:42:27Z",
    "title_canon_sha256": "b123893e139f6aabfd8435ee1d4760ecb4f906e03559048b282078991d44e230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25059",
    "kind": "arxiv",
    "version": 1
  }
}