Pith Number

pith:AM3XVFTA

pith:2012:AM3XVFTAKT4QDNJWEAYDB7VL4N

not attested not anchored not stored refs pending

A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials

Christof Sparber, Peter Markowich, Shi Jin, Zhongyi Huang

arxiv:1205.0393 v1 · 2012-05-02 · math.NA · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AM3XVFTAKT4QDNJWEAYDB7VL4N}

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	2026-05-18T03:56:34.641008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03377a966054f901b536203030feabe35b9e0ef568aae8adcf1eca2c4133296a

Aliases

arxiv: 1205.0393 · arxiv_version: 1205.0393v1 · doi: 10.48550/arxiv.1205.0393 · pith_short_12: AM3XVFTAKT4Q · pith_short_16: AM3XVFTAKT4QDNJW · pith_short_8: AM3XVFTA

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/AM3XVFTAKT4QDNJWEAYDB7VL4N \
  | 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: 03377a966054f901b536203030feabe35b9e0ef568aae8adcf1eca2c4133296a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33b9b48bb683d0172abe003ae82ad444b97172db6f867deaf19b334529ca07d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-02T11:50:00Z",
    "title_canon_sha256": "fcb697d788e48e979da4d59f051df12fc2654af48f15a09e74c1eb8b5239e4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0393",
    "kind": "arxiv",
    "version": 1
  }
}