Pith Number

pith:4IRTAEOE

pith:2014:4IRTAEOEDXAEW7Q27OXXLMP3D3

not attested not anchored not stored refs pending

Monte Carlo method for polarized radiative transfer in gradient-index media

J. M. Zhao, J. Y. Tan, L. H. Liu

arxiv:1412.4371 v1 · 2014-12-14 · physics.optics · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IRTAEOEDXAEW7Q27OXXLMP3D3}

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	2026-05-18T02:31:19.398861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2233011c41dc04b7e1afbaf75b1fb1ed8d8fc7f48fdd6e8fa8d6fd5f2c23f09

Aliases

arxiv: 1412.4371 · arxiv_version: 1412.4371v1 · doi: 10.48550/arxiv.1412.4371 · pith_short_12: 4IRTAEOEDXAE · pith_short_16: 4IRTAEOEDXAEW7Q2 · pith_short_8: 4IRTAEOE

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/4IRTAEOEDXAEW7Q27OXXLMP3D3 \
  | 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: e2233011c41dc04b7e1afbaf75b1fb1ed8d8fc7f48fdd6e8fa8d6fd5f2c23f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eef5c26c80e17ac4bf7cbeb927ecfcf4f202a472952cfcdc2c3d5af79257312",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-12-14T15:51:47Z",
    "title_canon_sha256": "cc00729b4de8c506c6bebdcb5c3bfa20979cc3b623e98a1811a02ea6b5ce8efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4371",
    "kind": "arxiv",
    "version": 1
  }
}