Pith Number

pith:GZBV7WEV

pith:2017:GZBV7WEV62QEQ7DKASMPCCUW32

not attested not anchored not stored refs pending

Improved Guarantees for Vertex Sparsification in Planar Graphs

Gramoz Goranci, Monika Henzinger, Pan Peng

arxiv:1702.01136 v2 · 2017-02-03 · 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{GZBV7WEV62QEQ7DKASMPCCUW32}

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	2026-05-18T00:27:09.695151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36435fd895f6a0487c6a0498f10a96deacc2a1a0f47d0aa97c4f87e2e2bc9d70

Aliases

arxiv: 1702.01136 · arxiv_version: 1702.01136v2 · doi: 10.48550/arxiv.1702.01136 · pith_short_12: GZBV7WEV62QE · pith_short_16: GZBV7WEV62QEQ7DK · pith_short_8: GZBV7WEV

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/GZBV7WEV62QEQ7DKASMPCCUW32 \
  | 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: 36435fd895f6a0487c6a0498f10a96deacc2a1a0f47d0aa97c4f87e2e2bc9d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a7a9bf235f7e1d9b50eae431957bd01b6fa6efd2dab87c1b8eb796cc47ce34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-02-03T19:35:00Z",
    "title_canon_sha256": "b7cb8d75854c14e17a0857559e2888fe7474cdb2c06e18d64c594a67e117f305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01136",
    "kind": "arxiv",
    "version": 2
  }
}