Pith Number

pith:NWXX2WDS

pith:1999:NWXX2WDSJOTNOUKQ2RA6NXRUB7

not attested not anchored not stored refs pending

Schwinger's Result On Particle Production From Complex Paths WKB Approximation

A.Shaw, B.Modak, S.Biswas

arxiv:gr-qc/9906081 v1 · 1999-06-18 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWXX2WDSJOTNOUKQ2RA6NXRUB7}

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	2026-05-18T00:54:21.305167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6daf7d58724ba6d75150d441e6de340fc05807d6a7021ce36763dc49ec655a6f

Aliases

arxiv: gr-qc/9906081 · arxiv_version: gr-qc/9906081v1 · doi: 10.48550/arxiv.gr-qc/9906081 · pith_short_12: NWXX2WDSJOTN · pith_short_16: NWXX2WDSJOTNOUKQ · pith_short_8: NWXX2WDS

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/NWXX2WDSJOTNOUKQ2RA6NXRUB7 \
  | 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: 6daf7d58724ba6d75150d441e6de340fc05807d6a7021ce36763dc49ec655a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03a18fb2b47c26b98bf49e21e1eb7e51e893c3032e2c17a064bb4d33f532b78",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-18T06:14:50Z",
    "title_canon_sha256": "c521379ad063705bdcec0465b71160e7081f841c3e94e564b62875411b4a4c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906081",
    "kind": "arxiv",
    "version": 1
  }
}