Pith Number

pith:6FOTGUAL

pith:2016:6FOTGUALMVP4XYR5EXWHR7SQRD

not attested not anchored not stored refs pending

Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation

Shuangqian Liu, Yan Guo

arxiv:1611.05242 v1 · 2016-11-16 · 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{6FOTGUALMVP4XYR5EXWHR7SQRD}

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	2026-05-18T00:58:27.566565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15d33500b655fcbe23d25ec78fe5088da8fe8f0d1030f10ae3c9064367dc507

Aliases

arxiv: 1611.05242 · arxiv_version: 1611.05242v1 · doi: 10.48550/arxiv.1611.05242 · pith_short_12: 6FOTGUALMVP4 · pith_short_16: 6FOTGUALMVP4XYR5 · pith_short_8: 6FOTGUAL

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/6FOTGUALMVP4XYR5EXWHR7SQRD \
  | 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: f15d33500b655fcbe23d25ec78fe5088da8fe8f0d1030f10ae3c9064367dc507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4a5f485f25e655fb53ec67112c6fd8e99ce32a20dce2a1456b72b276d0d6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-16T12:09:04Z",
    "title_canon_sha256": "9f713446eec6736d31a8f3f6bc249a84bc01b3f03299a08eaa4ab122fb27047c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05242",
    "kind": "arxiv",
    "version": 1
  }
}