Pith Number

pith:J7UK2EAS

pith:2011:J7UK2EASYZFJONECIQLTZTTVIW

not attested not anchored not stored refs pending

$L^{p}-$solutions of the stochastic transport equation

Christian Olivera, Pedro Catuogno

arxiv:1102.3076 v2 · 2011-02-15 · math.FA · 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{J7UK2EASYZFJONECIQLTZTTVIW}

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	2026-05-18T04:26:22.575022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe8ad1012c64a97348244173cce75458559a9ed7913e3ea592f7dc877e4f00e

Aliases

arxiv: 1102.3076 · arxiv_version: 1102.3076v2 · doi: 10.48550/arxiv.1102.3076 · pith_short_12: J7UK2EASYZFJ · pith_short_16: J7UK2EASYZFJONEC · pith_short_8: J7UK2EAS

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/J7UK2EASYZFJONECIQLTZTTVIW \
  | 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: 4fe8ad1012c64a97348244173cce75458559a9ed7913e3ea592f7dc877e4f00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7d249f2fb42c029dbecf86253f8db17274366bc306b28a8da140182ae6f5d2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-15T14:05:50Z",
    "title_canon_sha256": "db508912572fa27b00c4b4c21633bdb982e81332c591f949a3ab75f0fbfcf301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3076",
    "kind": "arxiv",
    "version": 2
  }
}