Pith Number

pith:N4OFDHZ6

pith:2010:N4OFDHZ6I3IGHVGFFBMJSWAUAX

not attested not anchored not stored refs pending

Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

Omar Mustafa

arxiv:1007.2094 v3 · 2010-07-13 · 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{N4OFDHZ6I3IGHVGFFBMJSWAUAX}

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	2026-05-18T04:41:43.768866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1c519f3e46d063d4c5285899581405cbceaa7e39fd991d8ea2f4db8255ebbd

Aliases

arxiv: 1007.2094 · arxiv_version: 1007.2094v3 · doi: 10.48550/arxiv.1007.2094 · pith_short_12: N4OFDHZ6I3IG · pith_short_16: N4OFDHZ6I3IGHVGF · pith_short_8: N4OFDHZ6

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/N4OFDHZ6I3IGHVGFFBMJSWAUAX \
  | 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: 6f1c519f3e46d063d4c5285899581405cbceaa7e39fd991d8ea2f4db8255ebbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d12066ebc8de1194c2fb4979294a5f12c8fb408a67847d9f4b0c487b09fa30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-13T12:53:42Z",
    "title_canon_sha256": "dba2aae9236a06c647a28f0ba08f744930fbe00aff11d763dc9baaacc36e0268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2094",
    "kind": "arxiv",
    "version": 3
  }
}