Pith Number

pith:SD3QJ322

pith:2020:SD3QJ322CSHLGQ2TV3BBMB7BAJ

not attested not anchored not stored refs pending

From Vlasov-Poisson-Boltzmann system to incompressible Navier-Stokes-Fourier-Poisson system: convergence for classical solutions

Mengmeng Guo, Ning Jiang, Yi-Long Luo

arxiv:2006.16514 v2 · 2020-06-30 · 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{SD3QJ322CSHLGQ2TV3BBMB7BAJ}

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	2026-07-05T01:15:27.025566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f704ef5a148eb34353aec21607e102733ab6cd7ab4b837887535a88e5f9504

Aliases

arxiv: 2006.16514 · arxiv_version: 2006.16514v2 · doi: 10.48550/arxiv.2006.16514 · pith_short_12: SD3QJ322CSHL · pith_short_16: SD3QJ322CSHLGQ2T · pith_short_8: SD3QJ322

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/SD3QJ322CSHLGQ2TV3BBMB7BAJ \
  | 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: 90f704ef5a148eb34353aec21607e102733ab6cd7ab4b837887535a88e5f9504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb62f15737de28dc4efe497603773bd5c1291e6071905a36a03c1780d12c287",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-30T03:48:39Z",
    "title_canon_sha256": "d92999d5560771d42f74e4191956b138b474e8d8cffb07b97a2a235839d21b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.16514",
    "kind": "arxiv",
    "version": 2
  }
}