Pith Number

pith:KUZGP2EO

pith:2022:KUZGP2EOPJ27YA77KSCIFKZE7P

not attested not anchored not stored refs pending

Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty

Shi Jin, Yiwen Lin

arxiv:2204.10573 v1 · 2022-04-22 · 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{KUZGP2EOPJ27YA77KSCIFKZE7P}

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	2026-07-05T04:16:58.605558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553267e88e7a75fc03ff548482ab24fbe7ff31f2fcddac68c63404cbcbb5f94d

Aliases

arxiv: 2204.10573 · arxiv_version: 2204.10573v1 · doi: 10.48550/arxiv.2204.10573 · pith_short_12: KUZGP2EOPJ27 · pith_short_16: KUZGP2EOPJ27YA77 · pith_short_8: KUZGP2EO

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/KUZGP2EOPJ27YA77KSCIFKZE7P \
  | 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: 553267e88e7a75fc03ff548482ab24fbe7ff31f2fcddac68c63404cbcbb5f94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb204844f67cf543c57f3d74c2db049e329948d118e93736f6ae962c5f0266e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-22T08:44:30Z",
    "title_canon_sha256": "0a8162d656764d38bc4a67d5ab3e10a0e7ba49f87f8b0cbfef57c3e5bf6e22e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10573",
    "kind": "arxiv",
    "version": 1
  }
}