Pith Number

pith:XK2HAMTA

pith:2011:XK2HAMTATIZRUZZWPXCOXRVGHH

not attested not anchored not stored refs pending

Matrix algorithm for solving Schroedinger equations with position-dependent mass or complex optical potentials

Alejandro Saenz, Johann Foerster, Ulli Wolff

arxiv:1112.5294 v2 · 2011-12-22 · quant-ph · hep-lat · 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{XK2HAMTATIZRUZZWPXCOXRVGHH}

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	2026-05-18T01:59:03.249404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab47032609a331a67367dc4ebc6a639c605f740fafa1cd3a0a34fa80d5ac20d

Aliases

arxiv: 1112.5294 · arxiv_version: 1112.5294v2 · doi: 10.48550/arxiv.1112.5294 · pith_short_12: XK2HAMTATIZR · pith_short_16: XK2HAMTATIZRUZZW · pith_short_8: XK2HAMTA

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/XK2HAMTATIZRUZZWPXCOXRVGHH \
  | 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: bab47032609a331a67367dc4ebc6a639c605f740fafa1cd3a0a34fa80d5ac20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b803fa4fb539d17e9b9d6e5462147b329a048549bf64162eb2fabc0685bc9d3",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-22T12:52:32Z",
    "title_canon_sha256": "c963d1b88a689c90226d93cafe8ef687cb4f48af214af6fdd60690a960cac4b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5294",
    "kind": "arxiv",
    "version": 2
  }
}