Pith Number

pith:24YENEA2

pith:2017:24YENEA27BDMCCDMUO5V6T47V3

not attested not anchored not stored refs pending

Spectral series of the Schr\"odinger operator with delta-potential on a three-dimensional spherically symmetric manifold

Andrei Shafarevich, Asilya Suleymanova, Tudor S. Ratiu

arxiv:1701.01759 v1 · 2017-01-06 · 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{24YENEA27BDMCCDMUO5V6T47V3}

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	2026-05-18T00:53:15.186490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73046901af846c1086ca3bb5f4f9faeffb6edad3180621cbeaa9389ad9803b3

Aliases

arxiv: 1701.01759 · arxiv_version: 1701.01759v1 · doi: 10.48550/arxiv.1701.01759 · pith_short_12: 24YENEA27BDM · pith_short_16: 24YENEA27BDMCCDM · pith_short_8: 24YENEA2

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/24YENEA27BDMCCDMUO5V6T47V3 \
  | 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: d73046901af846c1086ca3bb5f4f9faeffb6edad3180621cbeaa9389ad9803b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9941f86cf8fbce3f2c4f2d2ca491914f91af622709fd1048f3642b9ad7a9f5b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-06T21:03:11Z",
    "title_canon_sha256": "57559a1a60fbf84df5522e2da46a8ce7eb9954626c52a3472fdfcba32714e7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01759",
    "kind": "arxiv",
    "version": 1
  }
}