Pith Number

pith:M6PEA5IJ

pith:2017:M6PEA5IJT4IXRYAHSMHMPKN4VD

not attested not anchored not stored refs pending

Engineering the axial intensity of Bessel beams

Raghu Dharmavarapu, Saulius Juodkazis, Shanti Bhattacharya

arxiv:1711.00576 v1 · 2017-11-02 · 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{M6PEA5IJT4IXRYAHSMHMPKN4VD}

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	2026-05-18T00:31:30.134228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679e4075099f1178e007930ec7a9bca8c37885fc84325d5563146efda23886fb

Aliases

arxiv: 1711.00576 · arxiv_version: 1711.00576v1 · doi: 10.48550/arxiv.1711.00576 · pith_short_12: M6PEA5IJT4IX · pith_short_16: M6PEA5IJT4IXRYAH · pith_short_8: M6PEA5IJ

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/M6PEA5IJT4IXRYAHSMHMPKN4VD \
  | 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: 679e4075099f1178e007930ec7a9bca8c37885fc84325d5563146efda23886fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85fc48b887fac6b97cc1a8cd6978e08c1542c685fea5c322d7f936c4c6ecf0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-11-02T00:30:34Z",
    "title_canon_sha256": "9797d8aa6ab54b3ec771a6c99d38ca80b333baeff09716a9a5f60fc7541fb51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00576",
    "kind": "arxiv",
    "version": 1
  }
}