Pith Number

pith:SP5GJXFS

pith:2026:SP5GJXFSPJHAX6KNE5CZNOP7YW

not attested not anchored not stored refs pending

Uncertainty Principles, Spectral Localization, and Singular Schr\"odinger Operators on Compact Manifolds

Alex Iosevich, Chamsol Park

arxiv:2605.26264 v1 · 2026-05-25 · math.AP · math.CA · 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{SP5GJXFSPJHAX6KNE5CZNOP7YW}

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	2026-05-27T01:05:08.916762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fa64dcb27a4e0bf94d274596b9ffc5bffb086686a2a1088ab903918fa74a43

Aliases

arxiv: 2605.26264 · arxiv_version: 2605.26264v1 · doi: 10.48550/arxiv.2605.26264 · pith_short_12: SP5GJXFSPJHA · pith_short_16: SP5GJXFSPJHAX6KN · pith_short_8: SP5GJXFS

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/SP5GJXFSPJHAX6KNE5CZNOP7YW \
  | 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: 93fa64dcb27a4e0bf94d274596b9ffc5bffb086686a2a1088ab903918fa74a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c3f2ca74dad7f2fa11b13e49a58b16091a3f87366a8f95fd142c565f347df9",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T18:46:59Z",
    "title_canon_sha256": "8f0f8b389acbbb1e72e8df26f301b11293fa667dd878eef499113b2a95617e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26264",
    "kind": "arxiv",
    "version": 1
  }
}