Pith Number

pith:D2WOSBXV

pith:2012:D2WOSBXVVDDYIC3VS5NDPROWWW

not attested not anchored not stored refs pending

Quasi-exactly solvable cases of the N-dimensional symmetric quartic anharmonic oscillator

Chang-Liang Shi, Feng Pan, J. P. Draayer, Ming-Xia Xie, Yi-Bin Liu

arxiv:1203.0051 v2 · 2012-02-29 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2WOSBXVVDDYIC3VS5NDPROWWW}

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	2026-05-18T01:58:18.042542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eace906f5a8c7840b75975a37c5d6b59831ae6ebd7793ca7634819d03397b7f

Aliases

arxiv: 1203.0051 · arxiv_version: 1203.0051v2 · doi: 10.48550/arxiv.1203.0051 · pith_short_12: D2WOSBXVVDDY · pith_short_16: D2WOSBXVVDDYIC3V · pith_short_8: D2WOSBXV

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/D2WOSBXVVDDYIC3VS5NDPROWWW \
  | 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: 1eace906f5a8c7840b75975a37c5d6b59831ae6ebd7793ca7634819d03397b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c035ba71029c837b896ec0d9b3f7e9822545b394970d82af1b12c1614987a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-29T23:59:35Z",
    "title_canon_sha256": "486802483473c5fbde4c68266ef89fdfc84c26a506d4c8767386a2f5a30ba760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0051",
    "kind": "arxiv",
    "version": 2
  }
}