Pith Number

pith:Y37IXLQ3

pith:2011:Y37IXLQ37NSLR3CBTJDEHQDL62

not attested not anchored not stored refs pending

A Second Order Radiative Transfer Equation and Its Solution by Meshless Method with Application to Strongly Inhomogeneous Media

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

arxiv:1105.1207 v4 · 2011-05-06 · physics.comp-ph · 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{Y37IXLQ37NSLR3CBTJDEHQDL62}

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	2026-05-18T03:46:45.611560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6fe8bae1bfb64b8ec419a4643c06bf6b43af8d2a1e721cc3d7063f80031339e

Aliases

arxiv: 1105.1207 · arxiv_version: 1105.1207v4 · doi: 10.48550/arxiv.1105.1207 · pith_short_12: Y37IXLQ37NSL · pith_short_16: Y37IXLQ37NSLR3CB · pith_short_8: Y37IXLQ3

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/Y37IXLQ37NSLR3CBTJDEHQDL62 \
  | 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: c6fe8bae1bfb64b8ec419a4643c06bf6b43af8d2a1e721cc3d7063f80031339e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96dae8d2abe9309bbd7cf22f0c7b761d3c2c9068985960cd92ded8243628f1ad",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2011-05-06T01:43:48Z",
    "title_canon_sha256": "faa29b7fd98dd665d7b541d3289febed3bb8dcea4e6f8e7517c0324998084598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1207",
    "kind": "arxiv",
    "version": 4
  }
}