Pith Number

pith:WLMFLKYD

pith:2017:WLMFLKYDBJ55MTLNJP24WXGMIW

not attested not anchored not stored refs pending

Reducibility of quantum harmonic oscillator on $ R^d$ with differential and quasi-periodic in time potential

Zhenguo Liang, Zhiguo Wang

arxiv:1704.06744 v1 · 2017-04-22 · 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{WLMFLKYDBJ55MTLNJP24WXGMIW}

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	2026-05-18T00:45:57.723224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d855ab030a7bd64d6d4bf5cb5ccc45b11062bc4bfbc4abbd56c4878dbec84a

Aliases

arxiv: 1704.06744 · arxiv_version: 1704.06744v1 · doi: 10.48550/arxiv.1704.06744 · pith_short_12: WLMFLKYDBJ55 · pith_short_16: WLMFLKYDBJ55MTLN · pith_short_8: WLMFLKYD

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/WLMFLKYDBJ55MTLNJP24WXGMIW \
  | 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: b2d855ab030a7bd64d6d4bf5cb5ccc45b11062bc4bfbc4abbd56c4878dbec84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f3ca5fbcf68a4d1df51e16c79c867bf8ab7ea7166b6d6439b90a0a05a3298e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-22T04:15:22Z",
    "title_canon_sha256": "ceda8dc1bd7beb31d6ef0034de8d1aec71fcf98203137033d068e55d7607e4eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06744",
    "kind": "arxiv",
    "version": 1
  }
}