Pith Number

pith:5XAMTSNR

pith:2012:5XAMTSNRW3BISGAGSZGRBS7UWN

not attested not anchored not stored refs pending

The propagation of a polarized Gaussian beam in a smoothly inhomogeneous isotropic medium

Hehe Li, Peiyong Ji

arxiv:1202.3851 v1 · 2012-02-17 · 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{5XAMTSNRW3BISGAGSZGRBS7UWN}

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	2026-05-18T01:58:24.187224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc0c9c9b1b6c2891806964d10cbf4b345adf37547eaf75b62d3f3262c2c8349

Aliases

arxiv: 1202.3851 · arxiv_version: 1202.3851v1 · doi: 10.48550/arxiv.1202.3851 · pith_short_12: 5XAMTSNRW3BI · pith_short_16: 5XAMTSNRW3BISGAG · pith_short_8: 5XAMTSNR

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/5XAMTSNRW3BISGAGSZGRBS7UWN \
  | 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: edc0c9c9b1b6c2891806964d10cbf4b345adf37547eaf75b62d3f3262c2c8349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad362bdac838bf1e11dc1b8040d8424e2be4ade999501ad83aa6a8626a71937",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-02-17T08:12:23Z",
    "title_canon_sha256": "23ea4ecac5776af637eab9cd5dfa2afa83f64c288a88133289b55fb30c4cbd35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3851",
    "kind": "arxiv",
    "version": 1
  }
}