Pith Number

pith:YAF4SDKW

pith:2021:YAF4SDKWMBL4RC4IK36SHEEK7I

not attested not anchored not stored refs pending

Conformal frequency conversion for arbitrary vectorial structured light

Bao-Sen Shi, Bing-Shi Yu, Carmelo Rosales-Guzm\'an, Dong-Sheng Ding, Hai-Jun Wu, Wei Gao, Xiao-Peng Hu, Yijie Shen, Zhi-Han Zhu, Zhi-Yuan Zhou

arxiv:2109.13636 v1 · 2021-09-28 · 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{YAF4SDKWMBL4RC4IK36SHEEK7I}

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	2026-07-05T03:55:02.468967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00bc90d566057c88b8856fd23908afa18a25e63e97513eb1048982066b08073

Aliases

arxiv: 2109.13636 · arxiv_version: 2109.13636v1 · doi: 10.48550/arxiv.2109.13636 · pith_short_12: YAF4SDKWMBL4 · pith_short_16: YAF4SDKWMBL4RC4I · pith_short_8: YAF4SDKW

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/YAF4SDKWMBL4RC4IK36SHEEK7I \
  | 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: c00bc90d566057c88b8856fd23908afa18a25e63e97513eb1048982066b08073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8ed4af1c5f0e3df320c32c2d1304fb33b83cc6564c52cfae6a3faa38e5143f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-09-28T11:49:34Z",
    "title_canon_sha256": "0fbe05ffcbe7c3dce8f0a786f8f1423ad2efc5cba71f9a7f592384d9548998a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13636",
    "kind": "arxiv",
    "version": 1
  }
}