Pith Number

pith:YWMDKUDM

pith:2012:YWMDKUDMGFTECT6PRMNNASXVTP

not attested not anchored not stored refs pending

Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials

Fritz Gesztesy, Gerald Teschl, Jonathan Eckhardt, Roger Nichols

arxiv:1210.7628 v2 · 2012-10-29 · math.SP · 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{YWMDKUDMGFTECT6PRMNNASXVTP}

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	2026-05-18T03:06:05.672031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59835506c3166414fcf8b1ad04af59bddae676d39df0f0ee6d302dcc687a3d9

Aliases

arxiv: 1210.7628 · arxiv_version: 1210.7628v2 · doi: 10.48550/arxiv.1210.7628 · pith_short_12: YWMDKUDMGFTE · pith_short_16: YWMDKUDMGFTECT6P · pith_short_8: YWMDKUDM

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/YWMDKUDMGFTECT6PRMNNASXVTP \
  | 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: c59835506c3166414fcf8b1ad04af59bddae676d39df0f0ee6d302dcc687a3d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fe5ba15c774b514d1dcfa761d7b76a81a7f77eb9af560a086ff4cd50c35243",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-10-29T11:47:58Z",
    "title_canon_sha256": "653c8ca66209413fa6ba811a4f3a633895c84b7f4efdb34af8cfbe6d4945e7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7628",
    "kind": "arxiv",
    "version": 2
  }
}