Pith Number

pith:A7NEOQFS

pith:2012:A7NEOQFSE5PZUGJGY6W7VCD2CK

not attested not anchored not stored refs pending

The Quasi-exact models in two-dimensional curved space based on the generalized CRS Harmonic Oscillator

Ci Song, Jing-Ling Chen, Yan Li

arxiv:1203.5327 v1 · 2012-03-23 · 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{A7NEOQFSE5PZUGJGY6W7VCD2CK}

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	2026-05-18T03:59:26.162850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07da4740b2275f9a1926c7adfa887a12801016a4bc59a62a98ee72beb2116611

Aliases

arxiv: 1203.5327 · arxiv_version: 1203.5327v1 · doi: 10.48550/arxiv.1203.5327 · pith_short_12: A7NEOQFSE5PZ · pith_short_16: A7NEOQFSE5PZUGJG · pith_short_8: A7NEOQFS

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/A7NEOQFSE5PZUGJGY6W7VCD2CK \
  | 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: 07da4740b2275f9a1926c7adfa887a12801016a4bc59a62a98ee72beb2116611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26cf7100aa5fafb190d5c1a0dd5b2012686daaa404ca97f95a25299d050c5645",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-23T19:36:42Z",
    "title_canon_sha256": "9d7488280c3468ed83c5d20cddec9889ba47f57598f21bcab87201e80b92e5ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5327",
    "kind": "arxiv",
    "version": 1
  }
}