Pith Number

pith:RENZVQGM

pith:2012:RENZVQGMZNYGWDFK2TTDA6MV7U

not attested not anchored not stored refs pending

Position-dependent mass harmonic oscillator: classical-quantum mechanical correspondence and ordering-ambiguity

Omar Mustafa

arxiv:1208.2109 v3 · 2012-08-10 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RENZVQGMZNYGWDFK2TTDA6MV7U}

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	2026-05-18T03:32:56.862970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891b9ac0cccb706b0caad4e6307995fd0b7bc0136a83b217926e96b3feee4f65

Aliases

arxiv: 1208.2109 · arxiv_version: 1208.2109v3 · doi: 10.48550/arxiv.1208.2109 · pith_short_12: RENZVQGMZNYG · pith_short_16: RENZVQGMZNYGWDFK · pith_short_8: RENZVQGM

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/RENZVQGMZNYGWDFK2TTDA6MV7U \
  | 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: 891b9ac0cccb706b0caad4e6307995fd0b7bc0136a83b217926e96b3feee4f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9221cf728cfd463ed7b2c1a7f31fafcde0e5635f325320f5e16405a7cfcd75e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-10T08:21:43Z",
    "title_canon_sha256": "e1271488ec734e6630707e23cd510d5bc0d1adc2f06b12ffd360f99ce10f4f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2109",
    "kind": "arxiv",
    "version": 3
  }
}