Pith Number

pith:XF7GXYJI

pith:2010:XF7GXYJI4NB7ZEXWPC6WU3THD3

not attested not anchored not stored refs pending

Vertex Sparsifiers: New Results from Old Techniques

Anupam Gupta, Harald Raecke, Inbal Talgam, Kunal Talwar, Matthias Englert, Robert Krauthgamer

arxiv:1006.4586 v3 · 2010-06-23 · 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{XF7GXYJI4NB7ZEXWPC6WU3THD3}

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	2026-05-18T01:21:23.411207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97e6be128e343fc92f678bd6a6e671eea7f41b91e55ce76f982bc5937851ec3

Aliases

arxiv: 1006.4586 · arxiv_version: 1006.4586v3 · doi: 10.48550/arxiv.1006.4586 · pith_short_12: XF7GXYJI4NB7 · pith_short_16: XF7GXYJI4NB7ZEXW · pith_short_8: XF7GXYJI

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/XF7GXYJI4NB7ZEXWPC6WU3THD3 \
  | 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: b97e6be128e343fc92f678bd6a6e671eea7f41b91e55ce76f982bc5937851ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b85199943b2b35507be3b7ce35ac282ce9af55e86783c5d56947e468864dbad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-06-23T16:43:47Z",
    "title_canon_sha256": "ece54cbd01e6bac02a84075dbe62b5ef55a4f7c639dbde61f20d86989ab7d3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4586",
    "kind": "arxiv",
    "version": 3
  }
}