Pith Number

pith:AEZDHYXH

pith:2008:AEZDHYXHKAST3E3EREIYTSYXAF

not attested not anchored not stored refs pending

Spectral Sparsification of Graphs

Daniel A. Spielman, Shang-Hua Teng

arxiv:0808.4134 v3 · 2008-08-29 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEZDHYXHKAST3E3EREIYTSYXAF}

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

1 paper in Pith

Accelerating Transistor-Level Simulation of Integrated Circuits via Equivalence of RC Long-Chain Structures

Receipt and verification

First computed	2026-07-04T17:31:59.404658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013233e2e750253d9364891189cb17014ffb876eaa7c905c4a41a1047efd3a09

Aliases

arxiv: 0808.4134 · arxiv_version: 0808.4134v3 · doi: 10.48550/arxiv.0808.4134 · pith_short_12: AEZDHYXHKAST · pith_short_16: AEZDHYXHKAST3E3E · pith_short_8: AEZDHYXH

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/AEZDHYXHKAST3E3EREIYTSYXAF \
  | 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: 013233e2e750253d9364891189cb17014ffb876eaa7c905c4a41a1047efd3a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b22f95bef8aab4d997e72be4bd0e2fa095cd7d434ccde3477dd040d8ea5233",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2008-08-29T17:17:29Z",
    "title_canon_sha256": "39b7f4ca04a071f4b2c2d6eb65615352684878a224149395801363a3ab32111f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.4134",
    "kind": "arxiv",
    "version": 3
  }
}