Pith Number

pith:YOBPOQHT

pith:2018:YOBPOQHT37PNRWROTVU4TDPXDO

not attested not anchored not stored refs pending

Calculation of the propagator of Schr\"odinger's equation on $(0,\infty)$ with the potential $kx^{-2} + \omega^2x^2$ by Lie symmetry group method

F. G\"ung\"or

arxiv:1808.07298 v1 · 2018-08-22 · 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{YOBPOQHT37PNRWROTVU4TDPXDO}

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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	2026-05-18T00:07:29.265612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c382f740f3dfded8da2e9d69c98df71bbcee199b3f635764f502cde2ca1ba3fb

Aliases

arxiv: 1808.07298 · arxiv_version: 1808.07298v1 · doi: 10.48550/arxiv.1808.07298 · pith_short_12: YOBPOQHT37PN · pith_short_16: YOBPOQHT37PNRWRO · pith_short_8: YOBPOQHT

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/YOBPOQHT37PNRWROTVU4TDPXDO \
  | 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: c382f740f3dfded8da2e9d69c98df71bbcee199b3f635764f502cde2ca1ba3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ed22423a1c91e8c1025c6e951934822e3a6fda9696bb39da98e0d8c79fe2d2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-22T09:59:29Z",
    "title_canon_sha256": "7b1808a13cd4067c5f7c9d934126f5fb7432840bfaa558940c1657b14c6d69dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07298",
    "kind": "arxiv",
    "version": 1
  }
}