Pith Number

pith:YD2CGXSE

pith:2017:YD2CGXSEEOJQBYZU33OOZOSUDQ

not attested not anchored not stored refs pending

Uniformity Transition for Ray Intensities in Random Media

Alain Pumir, Marc Pradas, Michael Wilkinson

arxiv:1711.02972 v1 · 2017-11-08 · 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{YD2CGXSEEOJQBYZU33OOZOSUDQ}

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	2026-05-18T00:19:25.457447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f4235e44239300e334dedcecba541c0c84af2a32fa0929281fd6fcfa64d3ca

Aliases

arxiv: 1711.02972 · arxiv_version: 1711.02972v1 · doi: 10.48550/arxiv.1711.02972 · pith_short_12: YD2CGXSEEOJQ · pith_short_16: YD2CGXSEEOJQBYZU · pith_short_8: YD2CGXSE

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/YD2CGXSEEOJQBYZU33OOZOSUDQ \
  | 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: c0f4235e44239300e334dedcecba541c0c84af2a32fa0929281fd6fcfa64d3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c2ef96dc20ea20bbf8606664e8e779061ab9d3bbc075e3fef83038fb84a7cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-11-08T14:39:58Z",
    "title_canon_sha256": "bce6923552025ddf5525d73cf307b936b0837096ae4e80eff99141b194cee4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02972",
    "kind": "arxiv",
    "version": 1
  }
}