Pith Number

pith:PI4OQ52S

pith:2019:PI4OQ52SNKADLA2K4PFKWZO7Z4

not attested not anchored not stored refs pending

On an optimal potential of Schr\"odinger operator with prescribed $m$ eigenvalue

Nurmukhamet Valeev, Yavdat Ilyasov

arxiv:1908.07876 v1 · 2019-08-21 · math.AP · 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{PI4OQ52SNKADLA2K4PFKWZO7Z4}

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	2026-07-04T23:59:02.029021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a38e877526a8035834ae3caab65dfcf2f7985568c5284ce1808e6f22bbfbbfe

Aliases

arxiv: 1908.07876 · arxiv_version: 1908.07876v1 · doi: 10.48550/arxiv.1908.07876 · pith_short_12: PI4OQ52SNKAD · pith_short_16: PI4OQ52SNKADLA2K · pith_short_8: PI4OQ52S

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/PI4OQ52SNKADLA2K4PFKWZO7Z4 \
  | 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: 7a38e877526a8035834ae3caab65dfcf2f7985568c5284ce1808e6f22bbfbbfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2939e24d64fd07f72301fd90e0d5fc50fea8a6f2bb2a13856e79af8412288172",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-21T13:56:53Z",
    "title_canon_sha256": "1eb581622efc277a01cef9577198f2f232b1f83da8c2555815fb8dc81695eb82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07876",
    "kind": "arxiv",
    "version": 1
  }
}