Pith Number

pith:XKGKVOCY

pith:2017:XKGKVOCYJ6VG767I3DZSRFO57Q

not attested not anchored not stored refs pending

Lower bounds for the first eigenvalue of the magnetic Laplacian

Alessandro Savo, Bruno Colbois

arxiv:1709.09506 v1 · 2017-09-27 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKGKVOCYJ6VG767I3DZSRFO57Q}

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	2026-05-18T00:34:11.505430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8caab8584faa6ffbe8d8f32895ddfc39611cd15e0b70b384416a04e5bca541

Aliases

arxiv: 1709.09506 · arxiv_version: 1709.09506v1 · doi: 10.48550/arxiv.1709.09506 · pith_short_12: XKGKVOCYJ6VG · pith_short_16: XKGKVOCYJ6VG767I · pith_short_8: XKGKVOCY

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/XKGKVOCYJ6VG767I3DZSRFO57Q \
  | 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: ba8caab8584faa6ffbe8d8f32895ddfc39611cd15e0b70b384416a04e5bca541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d085ab42ad2ea49f17540f12ee01ce467321f161ba1483d0d333519c7d89bdb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-27T13:37:06Z",
    "title_canon_sha256": "a73e4ca7035670eaa4670adff669463fb70f7b4da1b4e637c44f2400bead201e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09506",
    "kind": "arxiv",
    "version": 1
  }
}