Pith Number

pith:7JSDFI66

pith:2024:7JSDFI66XCHDCG3ZK3ND5HXEEZ

not attested not anchored not stored refs pending

Global well-posedness and optimal decay rates of classical solutions to the compressible Navier-Stokes-Fourier-P$_1$ approximation model in radiation hydrodynamics

Fucai Li, Jinkai Ni, Peng Jiang

arxiv:2412.17017 v1 · 2024-12-22 · 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{7JSDFI66XCHDCG3ZK3ND5HXEEZ}

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	2026-07-05T09:53:16.623474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6432a3deb88e311b7956da3e9ee4265d3f575482940a34ee42d1d4a10f3391

Aliases

arxiv: 2412.17017 · arxiv_version: 2412.17017v1 · doi: 10.48550/arxiv.2412.17017 · pith_short_12: 7JSDFI66XCHD · pith_short_16: 7JSDFI66XCHDCG3Z · pith_short_8: 7JSDFI66

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/7JSDFI66XCHDCG3ZK3ND5HXEEZ \
  | 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: fa6432a3deb88e311b7956da3e9ee4265d3f575482940a34ee42d1d4a10f3391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4441d6a73870d334847025d4cb2fbb2d51295bd241faf9624b34cbf43587e111",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-22T13:39:37Z",
    "title_canon_sha256": "31257a83f0a82a22a7a69c5e5dfc9593fffedf68080a7863c6bd62093ebef31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17017",
    "kind": "arxiv",
    "version": 1
  }
}