Pith Number

pith:7JCUQ3LN

pith:2012:7JCUQ3LNWFRTU4UXA5Z2AG2HJO

not attested not anchored not stored refs pending

Generation and dynamics of optical beams with polarization singularities

Corrado de Lisio, Ebrahim Karimi, Enrico Santamato, Filippo Cardano, Lorenzo Marrucci

arxiv:1211.4163 v2 · 2012-11-17 · physics.optics

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JCUQ3LNWFRTU4UXA5Z2AG2HJO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:19:35.079405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa45486d6db1633a72970773a01b474b8c08fef5d64e37f046e68d6615140117

Aliases

arxiv: 1211.4163 · arxiv_version: 1211.4163v2 · doi: 10.48550/arxiv.1211.4163 · pith_short_12: 7JCUQ3LNWFRT · pith_short_16: 7JCUQ3LNWFRTU4UX · pith_short_8: 7JCUQ3LN

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/7JCUQ3LNWFRTU4UXA5Z2AG2HJO \
  | 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: fa45486d6db1633a72970773a01b474b8c08fef5d64e37f046e68d6615140117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe7b7891bd59cf56e3ec0cf5e8fa0c5b09618f31411885dbba56150114b6d56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-11-17T21:01:45Z",
    "title_canon_sha256": "da5e524a1b8f598d4f530318aea3f1bbe188e0604373a0110ec8c84e67ef7308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4163",
    "kind": "arxiv",
    "version": 2
  }
}