Pith Number

pith:LKUME4CM

pith:2018:LKUME4CM5CEBCOGUJNRRMEYOPH

not attested not anchored not stored refs pending

On Construction of Upper and Lower Bounds for the HOMO-LUMO Spectral Gap

Daniel Sevcovic, Sona Pavlikova

arxiv:1806.00870 v1 · 2018-06-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKUME4CM5CEBCOGUJNRRMEYOPH}

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	2026-05-18T00:02:09.827444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa8c2704ce8881138d44b6316130e79edcc961868b8ad368759a33a937e4f56

Aliases

arxiv: 1806.00870 · arxiv_version: 1806.00870v1 · doi: 10.48550/arxiv.1806.00870 · pith_short_12: LKUME4CM5CEB · pith_short_16: LKUME4CM5CEBCOGU · pith_short_8: LKUME4CM

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/LKUME4CM5CEBCOGUJNRRMEYOPH \
  | 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: 5aa8c2704ce8881138d44b6316130e79edcc961868b8ad368759a33a937e4f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c58f24442893df8670b2fba94cd6bcf94e04635fa23d04c9069c0487c76d73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-03T20:28:25Z",
    "title_canon_sha256": "309a65cd67bf31157fb6e691c52a88cbc6dbe9c03ae60e2e4560cce1dbb64bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00870",
    "kind": "arxiv",
    "version": 1
  }
}