Pith Number

pith:A6G5XPUJ

pith:2021:A6G5XPUJX7GMZ2RYTQF6VKUTPL

not attested not anchored not stored refs pending

Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space

Ning Jiang, Shaojun Tang, Yi-Long Luo

arxiv:2104.11964 v3 · 2021-04-24 · 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{A6G5XPUJX7GMZ2RYTQF6VKUTPL}

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.

Cited by

1 paper in Pith

Knudsen boundary layer equations with incoming boundary condition: full range of cutoff collision kernels and Mach numbers of the far field

Receipt and verification

First computed	2026-07-05T11:57:51.305993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

078ddbbe89bfccccea389c0beaaa937ad67092cffb2416b1c6e22711b8fdb311

Aliases

arxiv: 2104.11964 · arxiv_version: 2104.11964v3 · doi: 10.48550/arxiv.2104.11964 · pith_short_12: A6G5XPUJX7GM · pith_short_16: A6G5XPUJX7GMZ2RY · pith_short_8: A6G5XPUJ

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/A6G5XPUJX7GMZ2RYTQF6VKUTPL \
  | 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: 078ddbbe89bfccccea389c0beaaa937ad67092cffb2416b1c6e22711b8fdb311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19c8080a87b5c324004c856074015ecd561e79400f722db8be98c0936673683",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-24T14:36:21Z",
    "title_canon_sha256": "555cbb0f685ac7e4b675afaee6c65b57f7e179f9befc23c906e82ff75d381eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11964",
    "kind": "arxiv",
    "version": 3
  }
}