Pith Number

pith:SYBMHVU4

pith:2010:SYBMHVU4GZ5EBHJOU5OAGMWHJR

not attested not anchored not stored refs pending

Graph Sparsification via Refinement Sampling

Ashish Goel, Michael Kapralov, Sanjeev Khanna

arxiv:1004.4915 v1 · 2010-04-27 · 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{SYBMHVU4GZ5EBHJOU5OAGMWHJR}

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	2026-05-18T02:24:15.659070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9602c3d69c367a409d2ea75c0332c74c54eda3c77384381555b5347d598baa86

Aliases

arxiv: 1004.4915 · arxiv_version: 1004.4915v1 · doi: 10.48550/arxiv.1004.4915 · pith_short_12: SYBMHVU4GZ5E · pith_short_16: SYBMHVU4GZ5EBHJO · pith_short_8: SYBMHVU4

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/SYBMHVU4GZ5EBHJOU5OAGMWHJR \
  | 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: 9602c3d69c367a409d2ea75c0332c74c54eda3c77384381555b5347d598baa86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f9ade5bbd090bae1e0aecf57e8cec6b98b5c3901d31c1a1708b2ff631d7ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-04-27T21:05:00Z",
    "title_canon_sha256": "60c502c9d5878e73365d2b8478e4e3441718df868c296d371361985b310dfb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4915",
    "kind": "arxiv",
    "version": 1
  }
}