Pith Number

pith:GTWZ5FZG

pith:2000:GTWZ5FZG5PEWKWFCXB6FUHNQDC

not attested not anchored not stored refs pending

Fourth Order Gradient Symplectic Integrator Methods for Solving the Time-Dependent Schr\"odinger Equation

C.-R. Chen, Siu A. Chin

arxiv:physics/0012017 v1 · 2000-12-08 · physics.comp-ph · physics.chem-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{GTWZ5FZG5PEWKWFCXB6FUHNQDC}

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	2026-05-18T01:38:11.274487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ed9e9726ebc96558a2b87c5a1db018ad192d2dd5857ce9387ca049536be722

Aliases

arxiv: physics/0012017 · arxiv_version: physics/0012017v1 · doi: 10.48550/arxiv.physics/0012017 · pith_short_12: GTWZ5FZG5PEW · pith_short_16: GTWZ5FZG5PEWKWFC · pith_short_8: GTWZ5FZG

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/GTWZ5FZG5PEWKWFCXB6FUHNQDC \
  | 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: 34ed9e9726ebc96558a2b87c5a1db018ad192d2dd5857ce9387ca049536be722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f16676deeff154c815525712fc7162b41265c882244f4baf6f52ac142d0939",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2000-12-08T06:57:15Z",
    "title_canon_sha256": "2cbc5687ef0265349b8ec458ff34f882a58f662bdf666c3e329af3202a79f700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0012017",
    "kind": "arxiv",
    "version": 1
  }
}