Pith Number

pith:WAIGVRB4

pith:2025:WAIGVRB4Y7AV6N3AJ6LG7OHJ3I

not attested not anchored not stored refs pending

Large-friction and incompressible limits for pressureless Euler-Navier-Stokes flows

Hai-Liang Li, Ling-Yun Shou, Yue Zhang

arxiv:2508.20730 v2 · 2025-08-28 · 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{WAIGVRB4Y7AV6N3AJ6LG7OHJ3I}

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	2026-06-02T01:03:33.434051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0106ac43cc7c15f37604f966fb8e9da1ed9e045d05de33a10f5c97edb99d00a

Aliases

arxiv: 2508.20730 · arxiv_version: 2508.20730v2 · doi: 10.48550/arxiv.2508.20730 · pith_short_12: WAIGVRB4Y7AV · pith_short_16: WAIGVRB4Y7AV6N3A · pith_short_8: WAIGVRB4

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/WAIGVRB4Y7AV6N3AJ6LG7OHJ3I \
  | 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: b0106ac43cc7c15f37604f966fb8e9da1ed9e045d05de33a10f5c97edb99d00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259ee83ebc6e3074b7b7bf2325783510a11c56ec87ef77e711098aed5624ec5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-28T12:54:07Z",
    "title_canon_sha256": "def12dfe199c28b08a9417a0a387975cc953a845df5902ccfc2ead616b83e57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20730",
    "kind": "arxiv",
    "version": 2
  }
}