Pith. sign in
Pith Number

pith:A3DPFT54

pith:2022:A3DPFT54F2JM25DBSQEYHMOHXC
not attested not anchored not stored refs pending

Spin/momentum properties of the paraxial optical beams

Heng Li, Luping Du, Peng Shi, Xiaocong Yuan

arxiv:2212.04697 v1 · 2022-12-09 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A3DPFT54F2JM25DBSQEYHMOHXC}

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 2026-07-05T05:41:36.130886Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

06c6f2cfbc2e92cd7461940983b1c7b883400462fb633236e27d6b29c8c11702

Aliases

arxiv: 2212.04697 · arxiv_version: 2212.04697v1 · doi: 10.48550/arxiv.2212.04697 · pith_short_12: A3DPFT54F2JM · pith_short_16: A3DPFT54F2JM25DB · pith_short_8: A3DPFT54
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC \
  | 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: 06c6f2cfbc2e92cd7461940983b1c7b883400462fb633236e27d6b29c8c11702
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd30a5a913edf50ab52a21a13055192201dc3f5c51eb48124a6fab0b7fa0fef7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-12-09T07:09:37Z",
    "title_canon_sha256": "9c89b94710ff9894b00cf3aeb9dea5a055197746b6a4e2f8d44d8678c4416b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04697",
    "kind": "arxiv",
    "version": 1
  }
}