Pith Number

pith:POUVB6GQ

pith:2011:POUVB6GQTUKS3NKJ73NDVXQ33O

not attested not anchored not stored refs pending

Initial Value Problems and Weyl--Titchmarsh Theory for Schr\"odinger Operators with Operator-Valued Potentials

Fritz Gesztesy, Maxim Zinchenko, Rudi Weikard

arxiv:1109.1613 v1 · 2011-09-08 · 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{POUVB6GQTUKS3NKJ73NDVXQ33O}

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	2026-05-18T04:13:54.791105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba950f8d09d152db549feda3ade1bdb94719a74d155042e5007adba6d6b903e

Aliases

arxiv: 1109.1613 · arxiv_version: 1109.1613v1 · doi: 10.48550/arxiv.1109.1613 · pith_short_12: POUVB6GQTUKS · pith_short_16: POUVB6GQTUKS3NKJ · pith_short_8: POUVB6GQ

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/POUVB6GQTUKS3NKJ73NDVXQ33O \
  | 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: 7ba950f8d09d152db549feda3ade1bdb94719a74d155042e5007adba6d6b903e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45e7b6d3637e916f6c79a2f3eb082f71da978e0f1e58c1bdec8db982f1ba882",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-08T02:24:55Z",
    "title_canon_sha256": "9fa96bfb51814fbdccf047ef985e80d2180c044fc26de9447e3b50cfef8a8173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1613",
    "kind": "arxiv",
    "version": 1
  }
}