Pith Number

pith:KAEVWFNM

pith:2012:KAEVWFNMQWBOO6ZMPQNP655AQM

not attested not anchored not stored refs pending

$\hbar$-expansion for the Schr\"odinger equation with a position-dependent mass

D. A. Kulikov, V. M. Shapoval

arxiv:1206.1666 v1 · 2012-06-08 · 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{KAEVWFNMQWBOO6ZMPQNP655AQM}

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	2026-05-18T03:54:03.584675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50095b15ac8582e77b2c7c1aff77a0833ca293c66b9171312f0ab52d35aa7d0d

Aliases

arxiv: 1206.1666 · arxiv_version: 1206.1666v1 · doi: 10.48550/arxiv.1206.1666 · pith_short_12: KAEVWFNMQWBO · pith_short_16: KAEVWFNMQWBOO6ZM · pith_short_8: KAEVWFNM

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/KAEVWFNMQWBOO6ZMPQNP655AQM \
  | 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: 50095b15ac8582e77b2c7c1aff77a0833ca293c66b9171312f0ab52d35aa7d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a044d48e1518b3c1f8c53889e9406acf5d0cf33fc409373a0ade3885750cc22a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-08T05:40:52Z",
    "title_canon_sha256": "6b96135566b151918dac83215a2bfff0c0d969533158a831b9e06b15b005bf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1666",
    "kind": "arxiv",
    "version": 1
  }
}