Pith Number

pith:PR7CMS7P

pith:2014:PR7CMS7PY3PCXL4IMONNYD5YS5

not attested not anchored not stored refs pending

Bypassing Erd\H{o}s' Girth Conjecture: Hybrid Stretch and Sourcewise Spanners

Merav Parter

arxiv:1404.6835 v1 · 2014-04-27 · 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{PR7CMS7PY3PCXL4IMONNYD5YS5}

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	2026-05-18T02:53:05.769452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7e264befc6de2baf88639adc0fb89746848bc0b00e34347eae9e6b675e4a9c

Aliases

arxiv: 1404.6835 · arxiv_version: 1404.6835v1 · doi: 10.48550/arxiv.1404.6835 · pith_short_12: PR7CMS7PY3PC · pith_short_16: PR7CMS7PY3PCXL4I · pith_short_8: PR7CMS7P

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/PR7CMS7PY3PCXL4IMONNYD5YS5 \
  | 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: 7c7e264befc6de2baf88639adc0fb89746848bc0b00e34347eae9e6b675e4a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5798fd7d99535570b655e6d93c683d881d38b8032bcb6447239ed03663cd223d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-04-27T21:55:35Z",
    "title_canon_sha256": "073b7a8ba035d720836e4cbf291747817bc11beba5400a2fbcca51fc1898fc65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6835",
    "kind": "arxiv",
    "version": 1
  }
}