Pith Number

pith:FXYL3GNO

pith:2023:FXYL3GNO3CYYAA2FFOLRZAUCZG

not attested not anchored not stored refs pending

Coherent beam combining of optical vortices

Hossein Fathi, Mikko Narhi, Regina Gumenyuk

arxiv:2312.09824 v1 · 2023-12-15 · 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{FXYL3GNO3CYYAA2FFOLRZAUCZG}

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	2026-07-05T07:24:41.113166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df0bd99aed8b18003452b971c8282c9b972d9d6e447d75e26f0c9210432b71e

Aliases

arxiv: 2312.09824 · arxiv_version: 2312.09824v1 · doi: 10.48550/arxiv.2312.09824 · pith_short_12: FXYL3GNO3CYY · pith_short_16: FXYL3GNO3CYYAA2F · pith_short_8: FXYL3GNO

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/FXYL3GNO3CYYAA2FFOLRZAUCZG \
  | 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: 2df0bd99aed8b18003452b971c8282c9b972d9d6e447d75e26f0c9210432b71e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b32d7a45c962a5a40db1eb0374d95bfae3118f4d17097e9343e6338e0cb81d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2023-12-15T14:30:04Z",
    "title_canon_sha256": "1ea8f67801d4c0919896aa459f5da1a621192071dec66245ac6a8deea857bb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09824",
    "kind": "arxiv",
    "version": 1
  }
}