Pith Number

pith:I4WO6DQG

pith:2022:I4WO6DQGA6ZIH3T7NXBWNU7OS6

not attested not anchored not stored refs pending

Factorization for the full-line matrix Schr\"odinger equation and a unitary transformation to the half-line scattering

Ricardo Weder, Tuncay Aktosun

arxiv:2212.07573 v2 · 2022-12-15 · 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{I4WO6DQGA6ZIH3T7NXBWNU7OS6}

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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	2026-07-05T05:58:18.706527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472cef0e0607b283ee7f6dc366d3ee9780626509d904144f1661a1a7bdfbde01

Aliases

arxiv: 2212.07573 · arxiv_version: 2212.07573v2 · doi: 10.48550/arxiv.2212.07573 · pith_short_12: I4WO6DQGA6ZI · pith_short_16: I4WO6DQGA6ZIH3T7 · pith_short_8: I4WO6DQG

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/I4WO6DQGA6ZIH3T7NXBWNU7OS6 \
  | 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: 472cef0e0607b283ee7f6dc366d3ee9780626509d904144f1661a1a7bdfbde01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ff80b79ecaa58c3af3154d3203e7f38601925ffd3c9b9afcb3e1f54d206841",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-12-15T01:13:22Z",
    "title_canon_sha256": "be166d58a2cdc84fe60a240e3f6e648e00b9650f7c52a4ef9c53e2405b93b04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07573",
    "kind": "arxiv",
    "version": 2
  }
}