pith. sign in
Pith Number

pith:XSMPSX2N

pith:2012:XSMPSX2NTVFAOULGFI47TPNDP6
not attested not anchored not stored refs pending

Trapping of a particle in a short-range harmonic potential well

A. S. de Castro, L. B. Castro

arxiv:1209.0010 v1 · 2012-08-31 · quant-ph · math-ph · math.MP · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSMPSX2NTVFAOULGFI47TPNDP6}

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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 2026-05-18T03:44:23.669064Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc98f95f4d9d4a0751662a39f9bda37fb1a2e581128c3f123962b0abb3611f79

Aliases

arxiv: 1209.0010 · arxiv_version: 1209.0010v1 · doi: 10.48550/arxiv.1209.0010 · pith_short_12: XSMPSX2NTVFA · pith_short_16: XSMPSX2NTVFAOULG · pith_short_8: XSMPSX2N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSMPSX2NTVFAOULGFI47TPNDP6 \
  | 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: bc98f95f4d9d4a0751662a39f9bda37fb1a2e581128c3f123962b0abb3611f79
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de09f01b48dbae6d4cd8a36196407b42fecc29189811c0adfb1e8878c8153003",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-31T20:18:35Z",
    "title_canon_sha256": "b21fd136f1181db10be62aea6664da327c5328ba5b99907d17d20cc2198927f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0010",
    "kind": "arxiv",
    "version": 1
  }
}