Pith Number

pith:SDZN6K2N

pith:2013:SDZN6K2NJQUOF6ES45WTQOG6BF

not attested not anchored not stored refs pending

Snell's Law and Refraction of Electron World Lines by Intense Laser Fields

Kiam H. Kwa, Linn Van Woerkom, Ulrich H. Gerlach

arxiv:1304.4416 v1 · 2013-04-16 · physics.plasm-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{SDZN6K2NJQUOF6ES45WTQOG6BF}

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	2026-05-18T03:27:53.168209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f2df2b4d4c28e2f892e76d3838de09685318daddc923965f88552ba9ba90b5

Aliases

arxiv: 1304.4416 · arxiv_version: 1304.4416v1 · doi: 10.48550/arxiv.1304.4416 · pith_short_12: SDZN6K2NJQUO · pith_short_16: SDZN6K2NJQUOF6ES · pith_short_8: SDZN6K2N

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/SDZN6K2NJQUOF6ES45WTQOG6BF \
  | 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: 90f2df2b4d4c28e2f892e76d3838de09685318daddc923965f88552ba9ba90b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6847f444f9ace4f60dbee69eda60735b5c33c6c4226d14d7a378bfe6e2315f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2013-04-16T12:27:44Z",
    "title_canon_sha256": "39043161fd18999bd0b8b94f090583dbf8d17fae99694f1e361e33b2fe03001d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4416",
    "kind": "arxiv",
    "version": 1
  }
}