Pith Number

pith:UPNR3SBO

pith:2025:UPNR3SBOJDU7CAGY5ENXNCNUO2

not attested not anchored not stored refs pending

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

Ning Jiang, Tong Yang, Yi-Long Luo, Yulong Wu

arxiv:2501.04035 v1 · 2025-01-02 · 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{UPNR3SBOJDU7CAGY5ENXNCNUO2}

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	2026-07-05T09:58:28.815103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3db1dc82e48e9f100d8e91b7689b4769cb122bffe250eb0a84be6341a85c5e1

Aliases

arxiv: 2501.04035 · arxiv_version: 2501.04035v1 · doi: 10.48550/arxiv.2501.04035 · pith_short_12: UPNR3SBOJDU7 · pith_short_16: UPNR3SBOJDU7CAGY · pith_short_8: UPNR3SBO

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/UPNR3SBOJDU7CAGY5ENXNCNUO2 \
  | 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: a3db1dc82e48e9f100d8e91b7689b4769cb122bffe250eb0a84be6341a85c5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f24e4c36892978a1a1a57f5e30d09795376fa9d6544bbfecd2bc1a7b08dc07f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-02T13:31:15Z",
    "title_canon_sha256": "fb59627ee70bc184b8b5376678773500a7bb0ee4246d9034f256fcf8dd57a002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04035",
    "kind": "arxiv",
    "version": 1
  }
}