Pith Number

pith:VL2KXFKG

pith:2010:VL2KXFKGAYNJUVGI7BGGOI5HPK

not attested not anchored not stored refs pending

Paraxial spin transport using the Dirac-like paraxial wave equation

H. Balajani, M. Mehrafarin

arxiv:1002.0647 v1 · 2010-02-03 · math-ph · math.MP · 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{VL2KXFKGAYNJUVGI7BGGOI5HPK}

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	2026-05-18T02:09:20.547451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf4ab9546061a9a54c8f84c6723a77a9313bc21ef8c9bf16a3a56e89c725226

Aliases

arxiv: 1002.0647 · arxiv_version: 1002.0647v1 · doi: 10.48550/arxiv.1002.0647 · pith_short_12: VL2KXFKGAYNJ · pith_short_16: VL2KXFKGAYNJUVGI · pith_short_8: VL2KXFKG

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/VL2KXFKGAYNJUVGI7BGGOI5HPK \
  | 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: aaf4ab9546061a9a54c8f84c6723a77a9313bc21ef8c9bf16a3a56e89c725226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d83258533171bbe48edc6a0608add18414b2719768260a918a4e1c1059c4214",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-03T05:27:19Z",
    "title_canon_sha256": "2bbdf4c426bf0d64d47045a481bcb051a6c236a41220bbcb628a677a3cd9a548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0647",
    "kind": "arxiv",
    "version": 1
  }
}