Pith Number

pith:4VUBVJG4

pith:2021:4VUBVJG4GLGXYQC2SFSRS7E35J

not attested not anchored not stored refs pending

Compressible Euler limit from Boltzmann equation with Maxwell reflection boundary condition in half-space

Ning Jiang, Shaojun Tang, Yi-Long Luo

arxiv:2101.11199 v2 · 2021-01-27 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VUBVJG4GLGXYQC2SFSRS7E35J}

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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.

Cited by

1 paper in Pith

Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits

Receipt and verification

First computed	2026-07-05T03:02:11.044352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5681aa4dc32cd7c405a9165197c9bea710137ff5469f755b9081915e3f548dd

Aliases

arxiv: 2101.11199 · arxiv_version: 2101.11199v2 · doi: 10.48550/arxiv.2101.11199 · pith_short_12: 4VUBVJG4GLGX · pith_short_16: 4VUBVJG4GLGXYQC2 · pith_short_8: 4VUBVJG4

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/4VUBVJG4GLGXYQC2SFSRS7E35J \
  | 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: e5681aa4dc32cd7c405a9165197c9bea710137ff5469f755b9081915e3f548dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33db8d2295c5b71f5b6956b7480288d812b949d94fac117fbb6480b837a271f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-01-27T04:34:07Z",
    "title_canon_sha256": "e11951f9e4a4243d0a28dda81e83a868bc1a7d698cb234c871c781c4e09bfbfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.11199",
    "kind": "arxiv",
    "version": 2
  }
}