Pith Number

pith:R4CACUK5

pith:2026:R4CACUK5LZAZNQXDCZJUTLGQSL

not attested not anchored not stored refs pending

Schrdinger operators with generic potentials achieve maximal resonance density

Travis Cunningham

arxiv:2606.09358 v1 · 2026-06-08 · math.SP · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4CACUK5LZAZNQXDCZJUTLGQSL}

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	2026-06-09T02:08:17.515676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0401515d5e4196c2e3165349acd092f672ff1ba8b98e9f55ba664071712974

Aliases

arxiv: 2606.09358 · arxiv_version: 2606.09358v1 · doi: 10.48550/arxiv.2606.09358 · pith_short_12: R4CACUK5LZAZ · pith_short_16: R4CACUK5LZAZNQXD · pith_short_8: R4CACUK5

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/R4CACUK5LZAZNQXDCZJUTLGQSL \
  | 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: 8f0401515d5e4196c2e3165349acd092f672ff1ba8b98e9f55ba664071712974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a944bc4f80dce9230deddcd355ff99978c1b7bdd040ed5b5fdb4edfd8eb6091d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-08T11:34:08Z",
    "title_canon_sha256": "202378c79feae1c19ba68173d919be61130ff8f8db1814ac662561ecaf05994a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09358",
    "kind": "arxiv",
    "version": 1
  }
}