Pith Number

pith:VU6UQMVR

pith:2024:VU6UQMVRYQC7K57WCZGLJMCBT4

not attested not anchored not stored refs pending

Quantitative Estimates in Passive Scalar Transport: A Unified Approach in $W^{1,p}$ via Christ-Journ\'e Commutator Estimates

Ayman Rimah Said, Lucas Huysmans

arxiv:2402.11642 v2 · 2024-02-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU6UQMVRYQC7K57WCZGLJMCBT4}

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.

Cited by

1 paper in Pith

Osgood meets Ambrosio-DiPerna-Lions

Receipt and verification

First computed	2026-07-05T10:45:06.436688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3d4832b1c405f577f6164cb4b0419f09a61fb6448d3c65c1669a22a79c3e6a

Aliases

arxiv: 2402.11642 · arxiv_version: 2402.11642v2 · doi: 10.48550/arxiv.2402.11642 · pith_short_12: VU6UQMVRYQC7 · pith_short_16: VU6UQMVRYQC7K57W · pith_short_8: VU6UQMVR

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/VU6UQMVRYQC7K57WCZGLJMCBT4 \
  | 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: ad3d4832b1c405f577f6164cb4b0419f09a61fb6448d3c65c1669a22a79c3e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b346ed444d7cdd93db44220f43a88c3a5b555e53ed206e003e7be60ecec323ec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-18T16:45:06Z",
    "title_canon_sha256": "a0871fae2629ce56fb9e04cbb8c07370819fcf52ffc78ca21db27b2af727e1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.11642",
    "kind": "arxiv",
    "version": 2
  }
}