Pith Number

pith:5VX26W4J

pith:2012:5VX26W4JELZM3HXLDVZ6MLUBSS

not attested not anchored not stored refs pending

A Lagrangian approach for the compressible Navier-Stokes equations

Rapha\"el Danchin (LAMA)

arxiv:1201.6203 v2 · 2012-01-30 · 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{5VX26W4JELZM3HXLDVZ6MLUBSS}

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	2026-05-18T02:41:59.860055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6faf5b8922f2cd9eeb1d73e62e8194933dbcfd00c4ab2c2f9d79587a02d9c2

Aliases

arxiv: 1201.6203 · arxiv_version: 1201.6203v2 · doi: 10.48550/arxiv.1201.6203 · pith_short_12: 5VX26W4JELZM · pith_short_16: 5VX26W4JELZM3HXL · pith_short_8: 5VX26W4J

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/5VX26W4JELZM3HXLDVZ6MLUBSS \
  | 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: ed6faf5b8922f2cd9eeb1d73e62e8194933dbcfd00c4ab2c2f9d79587a02d9c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa297c9c44f390e51fb7fc4d801c520f6947160936714c7162b73a54e362767",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-30T13:40:35Z",
    "title_canon_sha256": "04a2e5323347dc9e23017a04fdce6f6564a7a972b6d00cb7014bfebfb357ad0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6203",
    "kind": "arxiv",
    "version": 2
  }
}