Pith Number

pith:NIO5EXZS

pith:2020:NIO5EXZSON6TAK7UQDHBZAGK23

not attested not anchored not stored refs pending

Boundary layers of the Boltzmann equation in a three-dimensional half-space

Katherine Zhiyuan Zhang, Masahiro Suzuki, Shota Sakamoto

arxiv:2009.07798 v1 · 2020-09-16 · 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{NIO5EXZSON6TAK7UQDHBZAGK23}

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	2026-07-05T01:35:55.872999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1dd25f32737d302bf480ce1c80cad6f244d157d1a2bb805635bfe8e0bd91fa

Aliases

arxiv: 2009.07798 · arxiv_version: 2009.07798v1 · doi: 10.48550/arxiv.2009.07798 · pith_short_12: NIO5EXZSON6T · pith_short_16: NIO5EXZSON6TAK7U · pith_short_8: NIO5EXZS

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/NIO5EXZSON6TAK7UQDHBZAGK23 \
  | 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: 6a1dd25f32737d302bf480ce1c80cad6f244d157d1a2bb805635bfe8e0bd91fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa03e801dcc1adc4bf422edf1cecf98fcdf1df7fc005186abdd001afa4c72d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-16T16:48:14Z",
    "title_canon_sha256": "b8d42b49c27be8bc33446692c5d54dcc39222b36e52bd2fbedc965f079210f09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07798",
    "kind": "arxiv",
    "version": 1
  }
}