Pith Number

pith:GYA7PHRY

pith:2016:GYA7PHRYXCT3J53NIR3QFBVTOU

not attested not anchored not stored refs pending

Longitudinal patterning of twisted light

Ahmed H. Dorrah, Michel Zamboni-Rached, Mo Mojahedi

arxiv:1601.05135 v1 · 2016-01-19 · 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{GYA7PHRYXCT3J53NIR3QFBVTOU}

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	2026-05-18T01:11:31.717450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3601f79e38b8a7b4f76d44770286b37521738ab6a974fcbe6661dfeb869c9d8d

Aliases

arxiv: 1601.05135 · arxiv_version: 1601.05135v1 · doi: 10.48550/arxiv.1601.05135 · pith_short_12: GYA7PHRYXCT3 · pith_short_16: GYA7PHRYXCT3J53N · pith_short_8: GYA7PHRY

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/GYA7PHRYXCT3J53NIR3QFBVTOU \
  | 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: 3601f79e38b8a7b4f76d44770286b37521738ab6a974fcbe6661dfeb869c9d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aedcd1f2583a448c1cfbc58644f5d70e55967deae208e5362291c5068d70f4d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-01-19T23:47:08Z",
    "title_canon_sha256": "f2689dc057887716b2e4ffe1d963bd21cf59fc5cf98ea3e273c9b0497a3b9551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05135",
    "kind": "arxiv",
    "version": 1
  }
}