Pith Number

pith:3MTXUQQE

pith:2018:3MTXUQQEHXO4FFDGVVX6VC6QFA

not attested not anchored not stored refs pending

Reversible Wavefront Shaping Between Gaussian and Airy Beams By Mimicking Gravitational Field

Chong Sheng, Hui Liu, Shining Zhu, Xiangyang Wang

arxiv:1801.07117 v1 · 2018-01-22 · 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{3MTXUQQEHXO4FFDGVVX6VC6QFA}

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	2026-05-18T00:23:27.359953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db277a42043dddc29466ad6fea8bd028068d94423730aefc2dc749492bc46a21

Aliases

arxiv: 1801.07117 · arxiv_version: 1801.07117v1 · doi: 10.48550/arxiv.1801.07117 · pith_short_12: 3MTXUQQEHXO4 · pith_short_16: 3MTXUQQEHXO4FFDG · pith_short_8: 3MTXUQQE

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/3MTXUQQEHXO4FFDGVVX6VC6QFA \
  | 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: db277a42043dddc29466ad6fea8bd028068d94423730aefc2dc749492bc46a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5f6e6ee5274eab236415a98e6930c8ef63f9dcd131fb7de9e290423ca0ec43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-22T14:20:42Z",
    "title_canon_sha256": "af36a979e631d4b77357ccbbb06be387db886fbbdc2c278dc64b1a0f9d8fb0c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07117",
    "kind": "arxiv",
    "version": 1
  }
}