Pith Number

pith:LBEXQEYS

pith:2019:LBEXQEYSKPQ5BPR2EYYWHNYAQB

not attested not anchored not stored refs pending

Sharp diameter bound on the spectral gap for quantum graphs

David Borthwick, Kenny Jones, Livia Corsi

arxiv:1905.03071 v1 · 2019-05-08 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBEXQEYSKPQ5BPR2EYYWHNYAQB}

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	2026-05-17T23:46:42.957825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584978131253e1d0be3a263163b700807e6ddcbeaf8b85363783ced451f84636

Aliases

arxiv: 1905.03071 · arxiv_version: 1905.03071v1 · doi: 10.48550/arxiv.1905.03071 · pith_short_12: LBEXQEYSKPQ5 · pith_short_16: LBEXQEYSKPQ5BPR2 · pith_short_8: LBEXQEYS

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/LBEXQEYSKPQ5BPR2EYYWHNYAQB \
  | 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: 584978131253e1d0be3a263163b700807e6ddcbeaf8b85363783ced451f84636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c9af84fcb0430b0336fd3e1d809e291bdfa1f3e1408277297b0ce946bc6472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-05-08T13:52:55Z",
    "title_canon_sha256": "a3165954ff7780491a1418ddd30ed0151396fea2c805415431e4ee279c0be084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03071",
    "kind": "arxiv",
    "version": 1
  }
}