Pith Number

pith:ADL5ZAT6

pith:2002:ADL5ZAT6PJLEJNVB3SVWPZT46B

not attested not anchored not stored refs pending

Stochastic Processes and the Dirac Equation with External Fields

Eok Kyun Lee, Hae Myoung Kwon, In-gyu Koh, Jae-Weon Lee, Yeong Deok Han

arxiv:hep-th/0202159 v2 · 2002-02-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADL5ZAT6PJLEJNVB3SVWPZT46B}

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	2026-05-18T01:05:59.665872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d7dc827e7a5644b6a1dcab67e67cf061ae0515c85789b5e635d3acf0960826

Aliases

arxiv: hep-th/0202159 · arxiv_version: hep-th/0202159v2 · doi: 10.48550/arxiv.hep-th/0202159 · pith_short_12: ADL5ZAT6PJLE · pith_short_16: ADL5ZAT6PJLEJNVB · pith_short_8: ADL5ZAT6

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/ADL5ZAT6PJLEJNVB3SVWPZT46B \
  | 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: 00d7dc827e7a5644b6a1dcab67e67cf061ae0515c85789b5e635d3acf0960826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bda9b77c3319597bae04b8877a18378437a5ef773573c5e254efd42bee6ff2d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-02-23T06:42:08Z",
    "title_canon_sha256": "dca65ba5207dd8844b0662115453f294bc1ea1f98572c5554efd1544654d0903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0202159",
    "kind": "arxiv",
    "version": 2
  }
}