Pith Number

pith:HUD2V3WY

pith:2025:HUD2V3WYP4CP3BQRRO6PQSHR6S

not attested not anchored not stored refs pending

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential

Emanuele Haus, Zhiqiang Wang

arxiv:2509.01484 v1 · 2025-09-01 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUD2V3WYP4CP3BQRRO6PQSHR6S}

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	2026-07-05T12:03:01.809590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d07aaeed87f04fd86118bbcf848f1f49a310ce64851558217fff969aa16b856

Aliases

arxiv: 2509.01484 · arxiv_version: 2509.01484v1 · doi: 10.48550/arxiv.2509.01484 · pith_short_12: HUD2V3WYP4CP · pith_short_16: HUD2V3WYP4CP3BQR · pith_short_8: HUD2V3WY

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/HUD2V3WYP4CP3BQRRO6PQSHR6S \
  | 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: 3d07aaeed87f04fd86118bbcf848f1f49a310ce64851558217fff969aa16b856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856662f5f2f995d8d886ffb1838d799d2b7599a8d48b0aaa0044e6595016c578",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-01T14:03:15Z",
    "title_canon_sha256": "65de19d516c58058000baadeea013db73f570ce2e8654a9312c7cbc3a5473f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01484",
    "kind": "arxiv",
    "version": 1
  }
}