Pith Number

pith:AEP65ZKB

pith:2007:AEP65ZKBECRTNJSTR6YLGVWKXQ

not attested not anchored not stored refs pending

Simple proof of gauge invariance for the S-matrix element of strong-field photoionization

J.H. Bauer

arxiv:0706.2514 v2 · 2007-06-17 · 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{AEP65ZKBECRTNJSTR6YLGVWKXQ}

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	2026-05-18T02:16:30.041140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011feee54120a336a6538fb0b356cabc0fb19f28c1d7e62e8a000b9a93d855a1

Aliases

arxiv: 0706.2514 · arxiv_version: 0706.2514v2 · doi: 10.48550/arxiv.0706.2514 · pith_short_12: AEP65ZKBECRT · pith_short_16: AEP65ZKBECRTNJST · pith_short_8: AEP65ZKB

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/AEP65ZKBECRTNJSTR6YLGVWKXQ \
  | 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: 011feee54120a336a6538fb0b356cabc0fb19f28c1d7e62e8a000b9a93d855a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a5dd7d614c7f95da1598f5d4ad19fedc0aae450eab6abc94027d3576aa5a99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2007-06-17T23:57:31Z",
    "title_canon_sha256": "0a9b152a2ea77b22ebc0e1949edb1b62f8bbc9ce745460020fa7501c188250c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2514",
    "kind": "arxiv",
    "version": 2
  }
}