Pith Number

pith:JEGCWRLC

pith:2003:JEGCWRLCJQQPY4DOYEB2GSPGPJ

not attested not anchored not stored refs pending

Tunneling dynamics in relativistic and nonrelativistic wave equations

A. Ruschhaupt, F. Delgado, G. Garcia-Calderon, J. G. Muga, J. Villavicencio

arxiv:quant-ph/0303133 v1 · 2003-03-21 · 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{JEGCWRLCJQQPY4DOYEB2GSPGPJ}

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	2026-07-04T16:42:27.544228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

490c2b45624c20fc706ec103a349e67a51f66704bb7856d82137c382ff071f62

Aliases

arxiv: quant-ph/0303133 · arxiv_version: quant-ph/0303133v1 · doi: 10.48550/arxiv.quant-ph/0303133 · pith_short_12: JEGCWRLCJQQP · pith_short_16: JEGCWRLCJQQPY4DO · pith_short_8: JEGCWRLC

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/JEGCWRLCJQQPY4DOYEB2GSPGPJ \
  | 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: 490c2b45624c20fc706ec103a349e67a51f66704bb7856d82137c382ff071f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db970da583c683a2a9036a6ca84e975297d9d05d07f9586f5512077657c962c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-03-21T11:05:31Z",
    "title_canon_sha256": "974868b7ea58048a7900845faa79f8616cd1d9ac508b40f689e941a01f2f4215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0303133",
    "kind": "arxiv",
    "version": 1
  }
}