Pith Number

pith:LZQGBXS6

pith:2016:LZQGBXS6NL5JA3X2OMIRJVVQ7E

not attested not anchored not stored refs pending

A Hierarchy of Lower Bounds for Sublinear Additive Spanners

Amir Abboud, Greg Bodwin, Seth Pettie

arxiv:1607.07497 v3 · 2016-07-25 · cs.DS · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZQGBXS6NL5JA3X2OMIRJVVQ7E}

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	2026-05-18T00:53:07.861464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6060de5e6afa906efa731114d6b0f91d5e944f0322a4c2b497edb29b57924f

Aliases

arxiv: 1607.07497 · arxiv_version: 1607.07497v3 · doi: 10.48550/arxiv.1607.07497 · pith_short_12: LZQGBXS6NL5J · pith_short_16: LZQGBXS6NL5JA3X2 · pith_short_8: LZQGBXS6

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/LZQGBXS6NL5JA3X2OMIRJVVQ7E \
  | 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: 5e6060de5e6afa906efa731114d6b0f91d5e944f0322a4c2b497edb29b57924f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e377660148d91cb324e73097a928e743d86c6f15a2700f797224d588ed37f787",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-25T22:05:27Z",
    "title_canon_sha256": "832953af6a7da72fcccdf8ac4cb7c6f335b96fceb72f90e847d9c95fb8d00c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07497",
    "kind": "arxiv",
    "version": 3
  }
}