Pith Number

pith:H3F67J4S

pith:2008:H3F67J4SLCTOJE72N3IFZJDJ3A

not attested not anchored not stored refs pending

Shallow, Low, and Light Trees, and Tight Lower Bounds for Euclidean Spanners

Michael Elkin, Shay Solomon, Yefim Dinitz

arxiv:0801.3581 v1 · 2008-01-23 · cs.CG · 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{H3F67J4SLCTOJE72N3IFZJDJ3A}

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	2026-05-18T04:14:36.666961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ecbefa79258a6e493fa6ed05ca469d81d7b0b5521c9bcd9da652d3d207e12cc

Aliases

arxiv: 0801.3581 · arxiv_version: 0801.3581v1 · doi: 10.48550/arxiv.0801.3581 · pith_short_12: H3F67J4SLCTO · pith_short_16: H3F67J4SLCTOJE72 · pith_short_8: H3F67J4S

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/H3F67J4SLCTOJE72N3IFZJDJ3A \
  | 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: 3ecbefa79258a6e493fa6ed05ca469d81d7b0b5521c9bcd9da652d3d207e12cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b875fe2665f0a6c266658245daf424b8de5068fddfa71f06a86e9fcc00bbd6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "",
    "primary_cat": "cs.CG",
    "submitted_at": "2008-01-23T13:57:00Z",
    "title_canon_sha256": "759ebdec693b7dc49ecfb2070f52ac9ebbc4c98573972220ace80f3a2c5ca3c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3581",
    "kind": "arxiv",
    "version": 1
  }
}