Pith Number

pith:GKFQFRTF

pith:2026:GKFQFRTFJPWHPDNOSUNCBKTMFC

not attested not anchored not stored refs pending

Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks

Chanwoo Kim, Mingi Choe, Moon-Jin Kang

arxiv:2605.24392 v1 · 2026-05-23 · 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{GKFQFRTFJPWHPDNOSUNCBKTMFC}

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	2026-05-26T01:03:36.961488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328b02c6654bec778dae951a20aa6c289346d35c6b2ddfc5a8f651ed8fcb1fbe

Aliases

arxiv: 2605.24392 · arxiv_version: 2605.24392v1 · doi: 10.48550/arxiv.2605.24392 · pith_short_12: GKFQFRTFJPWH · pith_short_16: GKFQFRTFJPWHPDNO · pith_short_8: GKFQFRTF

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/GKFQFRTFJPWHPDNOSUNCBKTMFC \
  | 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: 328b02c6654bec778dae951a20aa6c289346d35c6b2ddfc5a8f651ed8fcb1fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e1dd9310a9912c3a6f49b184c37dbba09c7598cdf94662f7f4027295bb2c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T04:35:31Z",
    "title_canon_sha256": "8a330f35c55e3f037c9536a53ae6f7e7373799ba3ba6b04621b81e2605c54aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24392",
    "kind": "arxiv",
    "version": 1
  }
}