Pith Number

pith:4LMDGVUH

pith:2008:4LMDGVUHW4DRSWP2KK2XNG5C4R

not attested not anchored not stored refs pending

Graph Sparsification by Effective Resistances

Daniel A. Spielman, Nikhil Srivastava

arxiv:0803.0929 v4 · 2008-03-06 · 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{4LMDGVUHW4DRSWP2KK2XNG5C4R}

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.

Cited by

3 papers in Pith

Beyond Averaging in John Ellipsoid Approximation: High-Accuracy Algorithms in the Leverage-Score Model

Flows in Almost Linear Time via Adaptive Preconditioning

Improved large-scale graph learning through ridge spectral sparsification

Receipt and verification

First computed	2026-07-04T17:15:58.002054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d8335687b7071959fa52b5769ba2e45958b6ef56c7cd1ea08b8585877277c8

Aliases

arxiv: 0803.0929 · arxiv_version: 0803.0929v4 · doi: 10.48550/arxiv.0803.0929 · pith_short_12: 4LMDGVUHW4DR · pith_short_16: 4LMDGVUHW4DRSWP2 · pith_short_8: 4LMDGVUH

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/4LMDGVUHW4DRSWP2KK2XNG5C4R \
  | 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: e2d8335687b7071959fa52b5769ba2e45958b6ef56c7cd1ea08b8585877277c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312f6b6b8d271db558150f939109c7d83ff39447391797600510642565924f7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2008-03-06T18:03:06Z",
    "title_canon_sha256": "0c8c0bd43d17546ad8113f4522ec6ff0795fce0f8add6ea4c900613c271e5a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0929",
    "kind": "arxiv",
    "version": 4
  }
}