Pith Number

pith:ZN4GWHRG

pith:2013:ZN4GWHRGI2QU4JMEOJB2AURQBU

not attested not anchored not stored refs pending

On the transformations generated by the electromagnetic spin and orbital angular momentum operators

Gabriel Molina-Terriza, Ivan Fernandez-Corbaton, Xavier Zambrana-Puyalto

arxiv:1308.1729 v2 · 2013-08-08 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN4GWHRGI2QU4JMEOJB2AURQBU}

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	2026-05-18T02:44:32.118682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb786b1e2646a14e25847243a052300d20182438867f200a4d6441134f02e0f2

Aliases

arxiv: 1308.1729 · arxiv_version: 1308.1729v2 · doi: 10.48550/arxiv.1308.1729 · pith_short_12: ZN4GWHRGI2QU · pith_short_16: ZN4GWHRGI2QU4JME · pith_short_8: ZN4GWHRG

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/ZN4GWHRGI2QU4JMEOJB2AURQBU \
  | 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: cb786b1e2646a14e25847243a052300d20182438867f200a4d6441134f02e0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e1453b8f489306b82046acab251f98aafabd0af71fa40899c694f87118fd55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-08-08T01:14:25Z",
    "title_canon_sha256": "398582f3b86498830c5aa52ef8b6e5e5140546ac8d0838b765a2dc38bf20a92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1729",
    "kind": "arxiv",
    "version": 2
  }
}