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Pith Number

pith:2QJDEF64

pith:2013:2QJDEF64MHUQSOK4RJ24HEB2GK
not attested not anchored not stored refs pending

On the validity of the paraxial approximation for electron acceleration with radially polarized laser beams

Charles Varin, Michel Pich\'e, Vincent Marceau

arxiv:1302.3073 v1 · 2013-02-13 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QJDEF64MHUQSOK4RJ24HEB2GK}

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 2026-05-18T03:30:40.866642Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4123217dc61e909395c8a75c3903a32a32e172a6d146779939c79bce7978a7f

Aliases

arxiv: 1302.3073 · arxiv_version: 1302.3073v1 · doi: 10.48550/arxiv.1302.3073 · pith_short_12: 2QJDEF64MHUQ · pith_short_16: 2QJDEF64MHUQSOK4 · pith_short_8: 2QJDEF64
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QJDEF64MHUQSOK4RJ24HEB2GK \
  | 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: d4123217dc61e909395c8a75c3903a32a32e172a6d146779939c79bce7978a7f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8489494076537dc259721ebdf0c58cad047e877afe7ee44d3a08fbaec0123df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-02-13T13:10:33Z",
    "title_canon_sha256": "031b26f8a0fd2dac94678c81b9e1c69de5fcea8b22eeaa4a5259030542993746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3073",
    "kind": "arxiv",
    "version": 1
  }
}