Pith Number

pith:H5WZW7ZD

pith:2025:H5WZW7ZD3VHRHAMYYH6LXLUAKK

not attested not anchored not stored refs pending

Asymptotic behavior toward viscous shocks for the outflow problem of barotropic Navier-Stokes equations

HyeonSeop Oh, Moon-Jin Kang, Yi Wang

arxiv:2505.08171 v1 · 2025-05-13 · 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{H5WZW7ZD3VHRHAMYYH6LXLUAKK}

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	2026-07-05T11:02:25.873653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6d9b7f23dd4f138198c1fcbbae8052a397821f4433ee55ae13c41eea434e6a

Aliases

arxiv: 2505.08171 · arxiv_version: 2505.08171v1 · doi: 10.48550/arxiv.2505.08171 · pith_short_12: H5WZW7ZD3VHR · pith_short_16: H5WZW7ZD3VHRHAMY · pith_short_8: H5WZW7ZD

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/H5WZW7ZD3VHRHAMYYH6LXLUAKK \
  | 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: 3f6d9b7f23dd4f138198c1fcbbae8052a397821f4433ee55ae13c41eea434e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75aae425d39009c14103b96855259527090144daa4d26ba81f898ac26221f2e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-13T02:17:50Z",
    "title_canon_sha256": "b2647d55c82b7d9db6815a480f586cead0b266f673b5a05c8ab79be0e8ead1e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08171",
    "kind": "arxiv",
    "version": 1
  }
}