Pith Number

pith:HD7Z4NIB

pith:2015:HD7Z4NIBZLQG3RYBPGACV4Y4EE

not attested not anchored not stored refs pending

Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system

Changjiang Zhu, Haiyan Yin, Jinshun Zhang

arxiv:1508.01411 v1 · 2015-08-06 · 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{HD7Z4NIBZLQG3RYBPGACV4Y4EE}

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	2026-05-18T01:35:42.702763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ff9e3501cae06dc70179802af31c21029fa0e5b281f489c50cbdc803193670

Aliases

arxiv: 1508.01411 · arxiv_version: 1508.01411v1 · doi: 10.48550/arxiv.1508.01411 · pith_short_12: HD7Z4NIBZLQG · pith_short_16: HD7Z4NIBZLQG3RYB · pith_short_8: HD7Z4NIB

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/HD7Z4NIBZLQG3RYBPGACV4Y4EE \
  | 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: 38ff9e3501cae06dc70179802af31c21029fa0e5b281f489c50cbdc803193670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3128b771d6261ad0c388722deb2ecd1e9493c2fbbe098175f96090d9ac17212d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-06T14:16:23Z",
    "title_canon_sha256": "2dde23dc0257f4094ce476cbd618be06059969a550cf32445eb4c965ae2aeb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01411",
    "kind": "arxiv",
    "version": 1
  }
}