Pith Number

pith:YNU6IQ3X

pith:2017:YNU6IQ3X7IYJGKYR6GNM2F3JWO

not attested not anchored not stored refs pending

Higher Order Eigenvalues for Non-Local Schr\"odinger Operators

Feng-Yu Wang, Niels Jacob

arxiv:1703.09954 v3 · 2017-03-29 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNU6IQ3X7IYJGKYR6GNM2F3JWO}

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	2026-05-18T00:40:52.603474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c369e44377fa30932b11f19acd1769b3a6ac49e2a1b11c7104904e09f50086b9

Aliases

arxiv: 1703.09954 · arxiv_version: 1703.09954v3 · doi: 10.48550/arxiv.1703.09954 · pith_short_12: YNU6IQ3X7IYJ · pith_short_16: YNU6IQ3X7IYJGKYR · pith_short_8: YNU6IQ3X

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/YNU6IQ3X7IYJGKYR6GNM2F3JWO \
  | 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: c369e44377fa30932b11f19acd1769b3a6ac49e2a1b11c7104904e09f50086b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf883f2eefaad48b842833d053048d42d4e9b0425cea38a0cb22f202c381e78",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-29T09:52:57Z",
    "title_canon_sha256": "7e02e0ce8bfe39df2a7b54f319a8589f5edfd51816b65ad3b3b73e8cf110a521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09954",
    "kind": "arxiv",
    "version": 3
  }
}