Pith Number

pith:WWNGIZZK

pith:2011:WWNGIZZK2X2S4XJL4T2UCOWEGZ

not attested not anchored not stored refs pending

Characterization of vector diffraction-free beams

Chun-Fang Li, Shuang-Yan Yang, Ting-Ting Wang

arxiv:1105.0053 v1 · 2011-04-30 · 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{WWNGIZZK2X2S4XJL4T2UCOWEGZ}

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	2026-05-18T01:22:09.032138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59a64672ad5f52e5d2be4f5413ac4366936396e00048a2e324eae9f29ac846a

Aliases

arxiv: 1105.0053 · arxiv_version: 1105.0053v1 · doi: 10.48550/arxiv.1105.0053 · pith_short_12: WWNGIZZK2X2S · pith_short_16: WWNGIZZK2X2S4XJL · pith_short_8: WWNGIZZK

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/WWNGIZZK2X2S4XJL4T2UCOWEGZ \
  | 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: b59a64672ad5f52e5d2be4f5413ac4366936396e00048a2e324eae9f29ac846a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b359791c661db9a9b9f609072e78a4348aa188cb9a006e47cbe6b6d99e92f164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-04-30T07:23:56Z",
    "title_canon_sha256": "49d8ca48234af2aec68605738a277baef668b0d618c653b86c5cea23126328f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0053",
    "kind": "arxiv",
    "version": 1
  }
}