Pith Number

pith:NNGOKINK

pith:2017:NNGOKINKLHE3N7ZBBN3RY5KTVA

not attested not anchored not stored refs pending

Inequalities for the lowest magnetic Neumann eigenvalue

Bernard Helffer, Soeren Fournais

arxiv:1706.01950 v3 · 2017-06-06 · 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{NNGOKINKLHE3N7ZBBN3RY5KTVA}

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	2026-05-18T00:16:03.183026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4ce521aa59c9b6ff210b771c7553a83594e5503858791ef2d0f53390a58a7d

Aliases

arxiv: 1706.01950 · arxiv_version: 1706.01950v3 · doi: 10.48550/arxiv.1706.01950 · pith_short_12: NNGOKINKLHE3 · pith_short_16: NNGOKINKLHE3N7ZB · pith_short_8: NNGOKINK

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/NNGOKINKLHE3N7ZBBN3RY5KTVA \
  | 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: 6b4ce521aa59c9b6ff210b771c7553a83594e5503858791ef2d0f53390a58a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7baeb4d60cb05c6b4cfdd35371d917bf17712705c3c4c9897f42375320fdb7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-06T20:06:44Z",
    "title_canon_sha256": "708c73bf97cc66a40ff12d2f65528b3cfa963a91f932c310248f604a1e80321d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01950",
    "kind": "arxiv",
    "version": 3
  }
}