Pith Number

pith:PBAOEQ7P

pith:2014:PBAOEQ7PT5N6IBPAIV2UO5T4OK

not attested not anchored not stored refs pending

Frequency up-conversion and arbitrary sum arithmetic of lights with orbital angular momentum

Bao-Sen Shi, Dong-Sheng Ding, Shuai Shi, Wei Zhang, Yan Li, Zhi-Yuan Zhou

arxiv:1406.4962 v1 · 2014-06-19 · physics.optics · quant-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{PBAOEQ7PT5N6IBPAIV2UO5T4OK}

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	2026-05-18T01:37:07.887513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7840e243ef9f5be405e0457547767c72bac19ded752278ee12c6b32381524508

Aliases

arxiv: 1406.4962 · arxiv_version: 1406.4962v1 · doi: 10.48550/arxiv.1406.4962 · pith_short_12: PBAOEQ7PT5N6 · pith_short_16: PBAOEQ7PT5N6IBPA · pith_short_8: PBAOEQ7P

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/PBAOEQ7PT5N6IBPAIV2UO5T4OK \
  | 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: 7840e243ef9f5be405e0457547767c72bac19ded752278ee12c6b32381524508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0298e5c8057fb7ad143077e96f5168170938928c6222af166e391a628c039e13",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-06-19T07:19:06Z",
    "title_canon_sha256": "4cf5195eb528c6b12b9a60a75590f8d31bacd37b0e30f65b1af9d4568d1e454a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4962",
    "kind": "arxiv",
    "version": 1
  }
}