Pith Number

pith:MEFI2PEM

pith:2012:MEFI2PEMQ74OZJCHOCNVLFZFW5

not attested not anchored not stored refs pending

Optimal Euclidean spanners: really short, thin and lanky

Michael Elkin, Shay Solomon

arxiv:1207.1831 v4 · 2012-07-07 · 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{MEFI2PEMQ74OZJCHOCNVLFZFW5}

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	2026-05-18T03:39:52.851547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610a8d3c8c87f8eca447709b559725b75075463efd177ebdf0e23888a3b5c439

Aliases

arxiv: 1207.1831 · arxiv_version: 1207.1831v4 · doi: 10.48550/arxiv.1207.1831 · pith_short_12: MEFI2PEMQ74O · pith_short_16: MEFI2PEMQ74OZJCH · pith_short_8: MEFI2PEM

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/MEFI2PEMQ74OZJCHOCNVLFZFW5 \
  | 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: 610a8d3c8c87f8eca447709b559725b75075463efd177ebdf0e23888a3b5c439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d301c8cace960ecc38dd53d5ca908bcb5172c050cd64a7a4609b615c52ce01ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-07-07T22:39:46Z",
    "title_canon_sha256": "c4f394ff572f4784bb0a45ad1bae2af446caee2bf876292578b4e9135aaa1a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1831",
    "kind": "arxiv",
    "version": 4
  }
}