Pith Number

pith:2OPCIHXT

pith:2016:2OPCIHXTHPN7ZLICUYY67YMCA3

not attested not anchored not stored refs pending

Compressible Navier-Stokes system : large solutions and incompressible limit

Piotr B. Mucha, Rapha\"el Danchin (UPEC UP12)

arxiv:1603.07213 v1 · 2016-03-23 · 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{2OPCIHXTHPN7ZLICUYY67YMCA3}

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	2026-05-18T01:18:24.067259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39e241ef33bdbfcad02a631efe18206d4984f8c92a7922363f48556e299474c

Aliases

arxiv: 1603.07213 · arxiv_version: 1603.07213v1 · doi: 10.48550/arxiv.1603.07213 · pith_short_12: 2OPCIHXTHPN7 · pith_short_16: 2OPCIHXTHPN7ZLIC · pith_short_8: 2OPCIHXT

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/2OPCIHXTHPN7ZLICUYY67YMCA3 \
  | 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: d39e241ef33bdbfcad02a631efe18206d4984f8c92a7922363f48556e299474c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef0af2cfa27a5dc402acdb0e6c32ef587743ec32bf0c71dbc39b8c647fa4298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-23T14:59:30Z",
    "title_canon_sha256": "c2e0bc7b18a9227beb7ca70ed11e1a4a7161e45737aa380b3cf0c72387ca4f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07213",
    "kind": "arxiv",
    "version": 1
  }
}