Pith Number

pith:C6CZIMK3

pith:2017:C6CZIMK3SVIVPLJVD2EXXLD5VN

not attested not anchored not stored refs pending

Greedy spanners are optimal in doubling metrics

Christian Wulff-Nilsen, Glencora Borradaile, Hung Le

arxiv:1712.05007 v1 · 2017-12-13 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6CZIMK3SVIVPLJVD2EXXLD5VN}

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	2026-05-18T00:28:01.254686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178594315b955157ad351e897bac7dab461c3d7ae0c2e5ce10d5729d73b5da30

Aliases

arxiv: 1712.05007 · arxiv_version: 1712.05007v1 · doi: 10.48550/arxiv.1712.05007 · pith_short_12: C6CZIMK3SVIV · pith_short_16: C6CZIMK3SVIVPLJV · pith_short_8: C6CZIMK3

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/C6CZIMK3SVIVPLJVD2EXXLD5VN \
  | 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: 178594315b955157ad351e897bac7dab461c3d7ae0c2e5ce10d5729d73b5da30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af96708d6f9be3450a7999c1b0a1504042d25a7cf96432605b6a3531f14342fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-12-13T21:02:30Z",
    "title_canon_sha256": "6cfb3082ac112b5a93490b943ac4d562ddd11bf6f241df8277333e4fc82f9088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05007",
    "kind": "arxiv",
    "version": 1
  }
}