Pith Number

pith:7ILNYR6Y

pith:2017:7ILNYR6YVRM2WOOOO3LKGIHWQO

not attested not anchored not stored refs pending

Minor-free graphs have light spanners

Christian Wulff-Nilsen, Glencora Borradaile, Hung Le

arxiv:1711.00821 v1 · 2017-11-02 · 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{7ILNYR6YVRM2WOOOO3LKGIHWQO}

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	2026-05-18T00:31:29.454245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa16dc47d8ac59ab39ce76d6a320f683906a16bafe2d20b70cd39798783cf67c

Aliases

arxiv: 1711.00821 · arxiv_version: 1711.00821v1 · doi: 10.48550/arxiv.1711.00821 · pith_short_12: 7ILNYR6YVRM2 · pith_short_16: 7ILNYR6YVRM2WOOO · pith_short_8: 7ILNYR6Y

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/7ILNYR6YVRM2WOOOO3LKGIHWQO \
  | 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: fa16dc47d8ac59ab39ce76d6a320f683906a16bafe2d20b70cd39798783cf67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1efe1b982f523cfcd235de155f1d8d6cb5ad29b312644cf768f03ce010e4e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-11-02T17:04:58Z",
    "title_canon_sha256": "f41f5b8db1eca8eaaf4d97b46fcb27dff3a2b5a4232395281eba0eec756b4590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00821",
    "kind": "arxiv",
    "version": 1
  }
}