Pith Number

pith:XWCKB4ZQ

pith:2022:XWCKB4ZQIQBC7FATQRK6YMMEPO

not attested not anchored not stored refs pending

Pursuing More Effective Graph Spectral Sparsifiers via Approximate Trace Reduction

Wenjian Yu, Zhiqiang Liu

arxiv:2206.06223 v1 · 2022-06-13 · cs.DS · cs.NA · math.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWCKB4ZQIQBC7FATQRK6YMMEPO}

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	2026-07-05T04:31:16.863252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd84a0f33044022f94138455ec31847b9943f03cf9e60057e50192f2906729c0

Aliases

arxiv: 2206.06223 · arxiv_version: 2206.06223v1 · doi: 10.48550/arxiv.2206.06223 · pith_short_12: XWCKB4ZQIQBC · pith_short_16: XWCKB4ZQIQBC7FAT · pith_short_8: XWCKB4ZQ

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/XWCKB4ZQIQBC7FATQRK6YMMEPO \
  | 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: bd84a0f33044022f94138455ec31847b9943f03cf9e60057e50192f2906729c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ae1bb157eaa317d3f844da41654998dab66b5b24caf66f7f80c318315881c8",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-06-13T14:55:55Z",
    "title_canon_sha256": "75c0f62a2fb505525b06f8dcfc96866ce7a38bb2a8484122b50b8c0da4eb891f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06223",
    "kind": "arxiv",
    "version": 1
  }
}