Pith Number

pith:JJELZZX4

pith:2016:JJELZZX4TYAXPTSVZ2XVKGOV5Z

not attested not anchored not stored refs pending

Improved WKB approximation for quantum tunneling: Application to heavy ion fusion

A. J. Toubiana, L. F. Canto, M. S. Hussein

arxiv:1612.03014 v2 · 2016-12-09 · nucl-th · nucl-ex · physics.atom-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{JJELZZX4TYAXPTSVZ2XVKGOV5Z}

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	2026-05-18T00:48:15.883304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a48bce6fc9e0177ce55ceaf5519d5ee5340fbc0f0dde29e4baaa5cc8967205a

Aliases

arxiv: 1612.03014 · arxiv_version: 1612.03014v2 · doi: 10.48550/arxiv.1612.03014 · pith_short_12: JJELZZX4TYAX · pith_short_16: JJELZZX4TYAXPTSV · pith_short_8: JJELZZX4

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/JJELZZX4TYAXPTSVZ2XVKGOV5Z \
  | 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: 4a48bce6fc9e0177ce55ceaf5519d5ee5340fbc0f0dde29e4baaa5cc8967205a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dbf28230e2d3202f834f05aaf776fe7444b0b2aa0dc8fcf855aaef21b5df6d",
    "cross_cats_sorted": [
      "nucl-ex",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2016-12-09T13:38:20Z",
    "title_canon_sha256": "ad42f1271d7f74266d31e58baae52303803d98c99a1aaeecda30dbd29408b77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03014",
    "kind": "arxiv",
    "version": 2
  }
}