Pith Number

pith:WNPKR7HA

pith:2017:WNPKR7HADC2CKKV4OPFKXHFB33

not attested not anchored not stored refs pending

Light spanners for bounded treewidth graphs imply light spanners for $H$-minor-free graphs

Glencora Borradaile, Hung Le

arxiv:1703.10633 v1 · 2017-03-30 · 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{WNPKR7HADC2CKKV4OPFKXHFB33}

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	2026-05-18T00:47:33.118698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35ea8fce018b4252abc73caab9ca1def0a2d9c47c541d9fad2fd59e0b85b0fc

Aliases

arxiv: 1703.10633 · arxiv_version: 1703.10633v1 · doi: 10.48550/arxiv.1703.10633 · pith_short_12: WNPKR7HADC2C · pith_short_16: WNPKR7HADC2CKKV4 · pith_short_8: WNPKR7HA

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/WNPKR7HADC2CKKV4OPFKXHFB33 \
  | 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: b35ea8fce018b4252abc73caab9ca1def0a2d9c47c541d9fad2fd59e0b85b0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e684a94fd3cde7f2062a398711c9d4ef44da8d8349206aca20e61a340e3af04",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-03-30T18:42:52Z",
    "title_canon_sha256": "b7f746d12f35763d765d13256b22a41eeb1faa3ff47cdcae146fca6b20d3c095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10633",
    "kind": "arxiv",
    "version": 1
  }
}