Pith Number

pith:CYNFNRNG

pith:2018:CYNFNRNG2IQL4YUNKVKVX3ECZ3

not attested not anchored not stored refs pending

Constant Arboricity Spectral Sparsifiers

Jakub W. Pachocki, Michael B. Cohen, Richard Peng, Timothy Chu

arxiv:1808.05662 v1 · 2018-08-16 · 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{CYNFNRNG2IQL4YUNKVKVX3ECZ3}

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	2026-05-18T00:07:54.649553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161a56c5a6d220be628d55555bec82cecc35835e4ea38a2b9f69cab64ea7da26

Aliases

arxiv: 1808.05662 · arxiv_version: 1808.05662v1 · doi: 10.48550/arxiv.1808.05662 · pith_short_12: CYNFNRNG2IQL · pith_short_16: CYNFNRNG2IQL4YUN · pith_short_8: CYNFNRNG

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/CYNFNRNG2IQL4YUNKVKVX3ECZ3 \
  | 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: 161a56c5a6d220be628d55555bec82cecc35835e4ea38a2b9f69cab64ea7da26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f446d4b23212545e3fe3b10296258e308d46d674dfed477e8cbb90275bb7fdd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-16T19:54:17Z",
    "title_canon_sha256": "847ba536940b7cb09e441db5b73353458b48565c37853c9659ce2e3ba5ad0a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05662",
    "kind": "arxiv",
    "version": 1
  }
}