Pith Number

pith:GPKJAVQM

pith:2015:GPKJAVQMAQVAFXVD67FYF32GZR

not attested not anchored not stored refs pending

Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials

J. Uchiyama, S. Richard, T. Umeda

arxiv:1502.07107 v1 · 2015-02-25 · math-ph · math.MP · 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{GPKJAVQMAQVAFXVD67FYF32GZR}

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	2026-05-18T02:26:11.828611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d490560c042a02dea3f7cb82ef46cc5516ee7623ca9d738a403f3f1a8cc663

Aliases

arxiv: 1502.07107 · arxiv_version: 1502.07107v1 · doi: 10.48550/arxiv.1502.07107 · pith_short_12: GPKJAVQMAQVA · pith_short_16: GPKJAVQMAQVAFXVD · pith_short_8: GPKJAVQM

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/GPKJAVQMAQVAFXVD67FYF32GZR \
  | 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: 33d490560c042a02dea3f7cb82ef46cc5516ee7623ca9d738a403f3f1a8cc663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3653cd23ae95f4d172f4225ca7b9b75242ec800f92c100b3dbf8fc368cc7aea8",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-25T10:12:05Z",
    "title_canon_sha256": "d4df1ecdceed8c813fdd026338287c32571d5369079d1fb8b64700995f179c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07107",
    "kind": "arxiv",
    "version": 1
  }
}