Pith Number

pith:5Q5DD7W4

pith:2013:5Q5DD7W464BUA5PEUSJZNVB2VS

not attested not anchored not stored refs pending

On Pairwise Spanners

Fabrizio Grandoni, Marek Cygan, Telikepalli Kavitha

arxiv:1301.1999 v1 · 2013-01-09 · 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{5Q5DD7W464BUA5PEUSJZNVB2VS}

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	2026-05-18T03:36:48.557716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3a31fedcf7034075e4a49396d43aaca95e03ecb12c6625fca813264c0c7f19

Aliases

arxiv: 1301.1999 · arxiv_version: 1301.1999v1 · doi: 10.48550/arxiv.1301.1999 · pith_short_12: 5Q5DD7W464BU · pith_short_16: 5Q5DD7W464BUA5PE · pith_short_8: 5Q5DD7W4

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/5Q5DD7W464BUA5PEUSJZNVB2VS \
  | 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: ec3a31fedcf7034075e4a49396d43aaca95e03ecb12c6625fca813264c0c7f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2320b463855aa0ed12ce200e993cb908a2b00bb8c1684c5780f2ff6b0d328f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-01-09T22:30:04Z",
    "title_canon_sha256": "0c4a86c752fb59cd4c40282ef38d3c97fe13db00e0ca578e4f47a465ed4b1161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1999",
    "kind": "arxiv",
    "version": 1
  }
}