Pith Number

pith:XFLFP5ST

pith:2015:XFLFP5STY4DJBU6HGOG2FTYEBV

not attested not anchored not stored refs pending

Stability of contact discontinuity for the Navier-Stokes-Poisson system with free boundary

Changjiang Zhu, Haiyan Yin, Shuangqian Liu

arxiv:1508.01405 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{XFLFP5STY4DJBU6HGOG2FTYEBV}

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	2026-05-18T01:35:42.722426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95657f653c70690d3c7338da2cf040d725be6151f859f47c4c31c8499473811

Aliases

arxiv: 1508.01405 · arxiv_version: 1508.01405v1 · doi: 10.48550/arxiv.1508.01405 · pith_short_12: XFLFP5STY4DJ · pith_short_16: XFLFP5STY4DJBU6H · pith_short_8: XFLFP5ST

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/XFLFP5STY4DJBU6HGOG2FTYEBV \
  | 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: b95657f653c70690d3c7338da2cf040d725be6151f859f47c4c31c8499473811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b42b3b2790198f5216bca2c988fce011f913d11157cf63f06fa7bd62e8b4ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-06T13:59:35Z",
    "title_canon_sha256": "1b1c57ebe428bb218b2a3f9046f59dc3ffb89ed9188683318cd7393990119143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01405",
    "kind": "arxiv",
    "version": 1
  }
}