Pith Number

pith:LQ3P2NQQ

pith:2014:LQ3P2NQQWE3AAIHG4556QZ26PU

not attested not anchored not stored refs pending

Connected Hypergraphs with Small Spectral Radius

Linyuan Lu, Shoudong Man

arxiv:1402.5402 v3 · 2014-02-21 · 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{LQ3P2NQQWE3AAIHG4556QZ26PU}

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	2026-05-18T02:56:51.430974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c36fd3610b1360020e6e77be8675e7d01db6b045ab241aa4b6313f1d3789510

Aliases

arxiv: 1402.5402 · arxiv_version: 1402.5402v3 · doi: 10.48550/arxiv.1402.5402 · pith_short_12: LQ3P2NQQWE3A · pith_short_16: LQ3P2NQQWE3AAIHG · pith_short_8: LQ3P2NQQ

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/LQ3P2NQQWE3AAIHG4556QZ26PU \
  | 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: 5c36fd3610b1360020e6e77be8675e7d01db6b045ab241aa4b6313f1d3789510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcb1dc188fcffc551c77d0452d97b61fbbc476e124d2c245a2972e6e58edb24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-21T20:29:22Z",
    "title_canon_sha256": "382e4e5e3cc0b400c4957eeaae8b36a967fbc03c4a857f366b0a29c6b5b11dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5402",
    "kind": "arxiv",
    "version": 3
  }
}