pith. sign in
Pith Number

pith:JQWAXKMC

pith:2013:JQWAXKMCWBPMHN7H3PQUTZ5KP6
not attested not anchored not stored refs pending

Analytic results in the position-dependent mass Schrodinger problem

H. R. Christiansen, M. S. Cunha

arxiv:1306.0933 v4 · 2013-06-04 · quant-ph · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JQWAXKMCWBPMHN7H3PQUTZ5KP6}

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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 2026-05-18T03:03:10.002819Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4c2c0ba982b05ec3b7e7dbe149e7aa7fa6f9d62bb384a44393d90191bb3fbf9d

Aliases

arxiv: 1306.0933 · arxiv_version: 1306.0933v4 · doi: 10.48550/arxiv.1306.0933 · pith_short_12: JQWAXKMCWBPM · pith_short_16: JQWAXKMCWBPMHN7H · pith_short_8: JQWAXKMC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JQWAXKMCWBPMHN7H3PQUTZ5KP6 \
  | 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: 4c2c0ba982b05ec3b7e7dbe149e7aa7fa6f9d62bb384a44393d90191bb3fbf9d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "74f1c7b47acb92982377853bd2e2169353101c9db10656c2a2df3567b9e9a384",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-04T22:00:43Z",
    "title_canon_sha256": "1bc2bf54b9fd5cc4025118d3305539889feeccd800cc62eff1d0ea504e134aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0933",
    "kind": "arxiv",
    "version": 4
  }
}