Pith Number

pith:JK2AJTUO

pith:2016:JK2AJTUOANZTQQ55VJ2UT3FQWM

not attested not anchored not stored refs pending

A ray-optical Poincar\'e sphere for structured Gaussian beams

Mark R Dennis, Miguel A Alonso

arxiv:1612.06824 v1 · 2016-12-20 · physics.optics · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK2AJTUOANZTQQ55VJ2UT3FQWM}

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	2026-05-18T00:45:25.805381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab404ce8e03733843bdaa7549ecb0b33e46022a44c7e223c4b067c48f926a50

Aliases

arxiv: 1612.06824 · arxiv_version: 1612.06824v1 · doi: 10.48550/arxiv.1612.06824 · pith_short_12: JK2AJTUOANZT · pith_short_16: JK2AJTUOANZTQQ55 · pith_short_8: JK2AJTUO

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/JK2AJTUOANZTQQ55VJ2UT3FQWM \
  | 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: 4ab404ce8e03733843bdaa7549ecb0b33e46022a44c7e223c4b067c48f926a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8695ef588992e8a446e5833694bda95bfb467dd608cd7185fdb95b225980e8f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-12-20T19:47:51Z",
    "title_canon_sha256": "872038643dcd5b2cac17f676ab1f6e0440dab59329796c7042310a0b86ce308d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06824",
    "kind": "arxiv",
    "version": 1
  }
}