Pith Number

pith:RRUVDQNJ

pith:2012:RRUVDQNJ4ALMYIH3HURHEBX6RT

not attested not anchored not stored refs pending

Gaussian Beam Methods for the Dirac Equation in the Semi-classical Regime

Dongsheng Yin, Hao Wu, Shi Jin, Zhongyi Huang

arxiv:1205.0543 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{RRUVDQNJ4ALMYIH3HURHEBX6RT}

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	2026-05-18T03:56:33.660217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c6951c1a9e016cc20fb3d227206fe8cdd2543603044fbc00e796f359bf75a7f

Aliases

arxiv: 1205.0543 · arxiv_version: 1205.0543v1 · doi: 10.48550/arxiv.1205.0543 · pith_short_12: RRUVDQNJ4ALM · pith_short_16: RRUVDQNJ4ALMYIH3 · pith_short_8: RRUVDQNJ

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/RRUVDQNJ4ALMYIH3HURHEBX6RT \
  | 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: 8c6951c1a9e016cc20fb3d227206fe8cdd2543603044fbc00e796f359bf75a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76afbc2d21a1f46b39dc320cae5203488e321f4decbd67d46ba0f554c065af6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-02T11:14:31Z",
    "title_canon_sha256": "f51de4f0b38a8f851a4df7203bd08d7481fcaa2064b12c426aeaac06e638c60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0543",
    "kind": "arxiv",
    "version": 1
  }
}