Pith Number

pith:LCTR3BMZ

pith:2014:LCTR3BMZG6QNHI2FKYLHW2CXWV

not attested not anchored not stored refs pending

Additive Spanners: A Simple Construction

Mathias B{\ae}k Tejs Knudsen

arxiv:1403.0178 v3 · 2014-03-02 · 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{LCTR3BMZG6QNHI2FKYLHW2CXWV}

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	2026-05-18T02:33:01.288224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a71d859937a0d3a34556167b6857b574da7149242e7dac43fd934c4f472de1

Aliases

arxiv: 1403.0178 · arxiv_version: 1403.0178v3 · doi: 10.48550/arxiv.1403.0178 · pith_short_12: LCTR3BMZG6QN · pith_short_16: LCTR3BMZG6QNHI2F · pith_short_8: LCTR3BMZ

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/LCTR3BMZG6QNHI2FKYLHW2CXWV \
  | 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: 58a71d859937a0d3a34556167b6857b574da7149242e7dac43fd934c4f472de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3ae6a5b1e55b68ee6cd4a964af2e3777dc4bf00e539e673bfa2b4abde2fea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-03-02T09:33:30Z",
    "title_canon_sha256": "43737635de5f56da1e2c05f86e344870567e7d6de3bdf80f0e6c669ac6cd3516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0178",
    "kind": "arxiv",
    "version": 3
  }
}