Pith Number

pith:2FAUPFJA

pith:2016:2FAUPFJALFTVWC3NGICOPKERLX

not attested not anchored not stored refs pending

On reducibility of Quantum Harmonic Oscillator on $\mathbb{R}^d$ with quasiperiodic in time potential

Beno\^it Gr\'ebert (LMJL), Eric Paturel (LMJL)

arxiv:1603.07455 v1 · 2016-03-24 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FAUPFJALFTVWC3NGICOPKERLX}

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	2026-05-18T01:18:20.877001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14147952059675b0b6d3204e7a8915ddf2a5abcf589a610bc4b06d846a84fca

Aliases

arxiv: 1603.07455 · arxiv_version: 1603.07455v1 · doi: 10.48550/arxiv.1603.07455 · pith_short_12: 2FAUPFJALFTV · pith_short_16: 2FAUPFJALFTVWC3N · pith_short_8: 2FAUPFJA

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/2FAUPFJALFTVWC3NGICOPKERLX \
  | 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: d14147952059675b0b6d3204e7a8915ddf2a5abcf589a610bc4b06d846a84fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ae6ac75e723cef5a67d7c75aeb27e08ddaca5fab7733c591680f9ef22d4717",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-24T07:34:03Z",
    "title_canon_sha256": "cd6eb0b2341c1cd6d998156fa0c1e3adbae1e47339048d0f33f195dec662af81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07455",
    "kind": "arxiv",
    "version": 1
  }
}