Pith Number

pith:532RFYN2

pith:2016:532RFYN2WSQRDNAEX3QMQ5RK6K

not attested not anchored not stored refs pending

The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria

Ayman Moussa, Daniel Han-Kwan, Olivier Glass

arxiv:1612.06808 v1 · 2016-12-20 · 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{532RFYN2WSQRDNAEX3QMQ5RK6K}

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	2026-05-18T00:54:21.459680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef512e1bab4a111b404bee0c8762af2a749a91dda59ab9e65117fefe495cc0f

Aliases

arxiv: 1612.06808 · arxiv_version: 1612.06808v1 · doi: 10.48550/arxiv.1612.06808 · pith_short_12: 532RFYN2WSQR · pith_short_16: 532RFYN2WSQRDNAE · pith_short_8: 532RFYN2

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/532RFYN2WSQRDNAEX3QMQ5RK6K \
  | 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: eef512e1bab4a111b404bee0c8762af2a749a91dda59ab9e65117fefe495cc0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a81d7b6f64daa9f2333719e11175c2051d6657720487806689e4a967fc9dbbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-20T18:49:21Z",
    "title_canon_sha256": "33b5cc57b5397919c70d11ea06e013a69e33e002cbfbee2d652dcaeefd5350b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06808",
    "kind": "arxiv",
    "version": 1
  }
}