Pith Number

pith:LLVV5D3Z

pith:2026:LLVV5D3ZLBDI4727AGA5Z4YLIY

not attested not anchored not stored refs pending

The small Deborah number limit for the compressible fluid-particle flows

Huanyao Wen, Kunlun Qi, Zhendong Fang

arxiv:2602.14412 v2 · 2026-02-16 · 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{LLVV5D3ZLBDI4727AGA5Z4YLIY}

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	2026-06-26T01:15:17.504104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aeb5e8f7958468e7f5f0181dcf30b46038838726e386f7f0d4617a21dccd163

Aliases

arxiv: 2602.14412 · arxiv_version: 2602.14412v2 · doi: 10.48550/arxiv.2602.14412 · pith_short_12: LLVV5D3ZLBDI · pith_short_16: LLVV5D3ZLBDI4727 · pith_short_8: LLVV5D3Z

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/LLVV5D3ZLBDI4727AGA5Z4YLIY \
  | 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: 5aeb5e8f7958468e7f5f0181dcf30b46038838726e386f7f0d4617a21dccd163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea9c5069053fa69836f742288f8d4d9a9f1080980144a7000b822f3fc68eebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-16T02:40:41Z",
    "title_canon_sha256": "a931d3f16add50daa6835ef365cc060b4e42d3454992bea8671d0bba38c855f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14412",
    "kind": "arxiv",
    "version": 2
  }
}