Pith Number

pith:QTZCELWV

pith:2011:QTZCELWVMZJKH5XCPKOKTOBQVH

not attested not anchored not stored refs pending

Radiative Transport Limit for the Random Schr\"{o}dinger Equation with Long-Range Correlations

Christophe Gomez

arxiv:1110.3301 v1 · 2011-10-14 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTZCELWVMZJKH5XCPKOKTOBQVH}

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	2026-05-18T04:10:57.603996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f2222ed56652a3f6e27a9ca9b830a9ed471ce49eb2ec545403d4b757cbdd40

Aliases

arxiv: 1110.3301 · arxiv_version: 1110.3301v1 · doi: 10.48550/arxiv.1110.3301 · pith_short_12: QTZCELWVMZJK · pith_short_16: QTZCELWVMZJKH5XC · pith_short_8: QTZCELWV

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/QTZCELWVMZJKH5XCPKOKTOBQVH \
  | 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: 84f2222ed56652a3f6e27a9ca9b830a9ed471ce49eb2ec545403d4b757cbdd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a54e249c600a8a5fc4db5292818f582a06b5f0aac9c20052fca0bd346209cd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-14T18:58:35Z",
    "title_canon_sha256": "6f9674b019533e46068465079080d7947627cd52e2c8e3018785927226e32f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3301",
    "kind": "arxiv",
    "version": 1
  }
}