Pith Number

pith:FNSMVAOB

pith:2017:FNSMVAOBT4WTPC4SAULCDAORJ3

not attested not anchored not stored refs pending

Global weak solutions to 3D compressible Primitive equations with density-dependent viscosity

Changsheng Dou, Fengchao Wang, Quansen Jiu

arxiv:1712.04180 v1 · 2017-12-12 · 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{FNSMVAOBT4WTPC4SAULCDAORJ3}

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	2026-05-18T00:28:08.872347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b64ca81c19f2d378b9205162181d14ef3ac7fa61bc74758674b80fbda2940ed

Aliases

arxiv: 1712.04180 · arxiv_version: 1712.04180v1 · doi: 10.48550/arxiv.1712.04180 · pith_short_12: FNSMVAOBT4WT · pith_short_16: FNSMVAOBT4WTPC4S · pith_short_8: FNSMVAOB

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/FNSMVAOBT4WTPC4SAULCDAORJ3 \
  | 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: 2b64ca81c19f2d378b9205162181d14ef3ac7fa61bc74758674b80fbda2940ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f822a197373899be38e3401b80ebfef4bd35909f0c47fe351c1fb66ab4870cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-12T09:06:20Z",
    "title_canon_sha256": "11a1537e057471ef2bcf9942fa11e29d8dcfc5edea6118ffa9199d7284098c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04180",
    "kind": "arxiv",
    "version": 1
  }
}