Pith Number

pith:LQPFYK73

pith:2016:LQPFYK73L75E7CDEQCOFLASMBK

not attested not anchored not stored refs pending

Optical Vortex Beam Propagation in Turbulent Atmosphere

YuanYao Lin

arxiv:1612.02553 v1 · 2016-12-08 · 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{LQPFYK73L75E7CDEQCOFLASMBK}

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	2026-05-18T00:55:33.385878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1e5c2bfb5ffa4f8864809c55824c0abe5ef6e730d7aa3abfa628cd210d2e64

Aliases

arxiv: 1612.02553 · arxiv_version: 1612.02553v1 · doi: 10.48550/arxiv.1612.02553 · pith_short_12: LQPFYK73L75E · pith_short_16: LQPFYK73L75E7CDE · pith_short_8: LQPFYK73

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/LQPFYK73L75E7CDEQCOFLASMBK \
  | 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: 5c1e5c2bfb5ffa4f8864809c55824c0abe5ef6e730d7aa3abfa628cd210d2e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed48811d1f473892999c73cfca4e76dddce7f2344515e1a73376760084b3c133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-12-08T07:42:04Z",
    "title_canon_sha256": "ddc223890ab43b89deea0d5343f2f4d8b3deaf080d5575e41523d629ad5260cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02553",
    "kind": "arxiv",
    "version": 1
  }
}