Pith Number

pith:5Z5AVQPN

pith:2025:5Z5AVQPNFYY4XIMF44VMNW5ECR

not attested not anchored not stored refs pending

Changing the discrete spectrum of the half-line matrix Schr\"odinger operator

Ricardo Weder, Tuncay Aktosun

arxiv:2506.17882 v1 · 2025-06-22 · 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{5Z5AVQPNFYY4XIMF44VMNW5ECR}

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	2026-07-05T11:25:24.867706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7a0ac1ed2e31cba185e72ac6dba4144a285be9cf8a20c3b51a9535e5a11910

Aliases

arxiv: 2506.17882 · arxiv_version: 2506.17882v1 · doi: 10.48550/arxiv.2506.17882 · pith_short_12: 5Z5AVQPNFYY4 · pith_short_16: 5Z5AVQPNFYY4XIMF · pith_short_8: 5Z5AVQPN

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/5Z5AVQPNFYY4XIMF44VMNW5ECR \
  | 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: ee7a0ac1ed2e31cba185e72ac6dba4144a285be9cf8a20c3b51a9535e5a11910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88f84078544b12ba2ff89d256489a22925583f0e26b620b313b72ec24b877dd7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-22T03:16:44Z",
    "title_canon_sha256": "de08062d533dc02b0ab43f645c755876ff30e30fdcdb05cd3e1634938fa8b3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17882",
    "kind": "arxiv",
    "version": 1
  }
}