Pith Number

pith:RBQACFYT

pith:2013:RBQACFYTXH42YYTP2CWRHXW2RK

not attested not anchored not stored refs pending

Probabilistic Spectral Sparsification In Sublinear Time

Yin Tat Lee

arxiv:1401.0085 v1 · 2013-12-31 · 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{RBQACFYTXH42YYTP2CWRHXW2RK}

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	2026-05-18T03:03:31.092872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8860011713b9f9ac626fd0ad13deda8ab4c169ee8ccc70cd26647868219e6725

Aliases

arxiv: 1401.0085 · arxiv_version: 1401.0085v1 · doi: 10.48550/arxiv.1401.0085 · pith_short_12: RBQACFYTXH42 · pith_short_16: RBQACFYTXH42YYTP · pith_short_8: RBQACFYT

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/RBQACFYTXH42YYTP2CWRHXW2RK \
  | 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: 8860011713b9f9ac626fd0ad13deda8ab4c169ee8ccc70cd26647868219e6725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3eb8f96fc3affea71e57df2d1c85b64723c94831968cd12222b800837cef44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-12-31T03:58:45Z",
    "title_canon_sha256": "e329d8d7a45b38d6ddd802eb3e72e3783065feeb26239dd586298f9cb16db1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0085",
    "kind": "arxiv",
    "version": 1
  }
}