pith. sign in
Pith Number

pith:JK2IAJV5

pith:2008:JK2IAJV5IV4AD7QIGJF2QYWWJD
not attested not anchored not stored refs pending

Integrable conditions for Dirac Equation and Schr\"odinger equation

Ying-Qiu Gu

arxiv:0802.1958 v2 · 2008-02-14 · physics.gen-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JK2IAJV5IV4AD7QIGJF2QYWWJD}

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 2026-05-18T00:43:18.983255Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4ab48026bd457801fe08324ba862d648e98c7946f4cf8efafa283ddf4547f7ce

Aliases

arxiv: 0802.1958 · arxiv_version: 0802.1958v2 · doi: 10.48550/arxiv.0802.1958 · pith_short_12: JK2IAJV5IV4A · pith_short_16: JK2IAJV5IV4AD7QI · pith_short_8: JK2IAJV5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JK2IAJV5IV4AD7QIGJF2QYWWJD \
  | 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: 4ab48026bd457801fe08324ba862d648e98c7946f4cf8efafa283ddf4547f7ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d072eb891db72763101fe14217018379571c4651d44d6bbcc720a010298c5cef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2008-02-14T04:10:15Z",
    "title_canon_sha256": "4894609d7f3f52dc86187336bb7ffcbfa5f015b91cb0379b2e621f841b229528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1958",
    "kind": "arxiv",
    "version": 2
  }
}