Pith Number

pith:D66HEHXG

pith:2018:D66HEHXGN2CH647QI7BW36SNMF

not attested not anchored not stored refs pending

Lower Bounds on Sparse Spanners, Emulators, and Diameter-reducing shortcuts

Seth Pettie, Shang-En Huang

arxiv:1802.06271 v2 · 2018-02-17 · 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{D66HEHXGN2CH647QI7BW36SNMF}

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	2026-05-17T23:40:04.589380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbc721ee66e847f73f047c36dfa4d6154e93cf508eb5d348f5bf4a808f5bec8

Aliases

arxiv: 1802.06271 · arxiv_version: 1802.06271v2 · doi: 10.48550/arxiv.1802.06271 · pith_short_12: D66HEHXGN2CH · pith_short_16: D66HEHXGN2CH647Q · pith_short_8: D66HEHXG

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/D66HEHXGN2CH647QI7BW36SNMF \
  | 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: 1fbc721ee66e847f73f047c36dfa4d6154e93cf508eb5d348f5bf4a808f5bec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd1312191371dbc52c31f4c91b9935b52626218485abf14f52cc87a5f92fec1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-02-17T18:32:17Z",
    "title_canon_sha256": "45d35e37a5ef38cdd6448023ea5c9992c7f32f58b078f5457c9ed349d12b0376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06271",
    "kind": "arxiv",
    "version": 2
  }
}