Pith Number

pith:PGF5YS5X

pith:2014:PGF5YS5XLENOFJ5SYYRAXOJOAS

not attested not anchored not stored refs pending

$L^p$-$L^{q}$-$L^{r}$ estimates and minimal decay regularity for compressible Euler-Maxwell equations

Jiang Xu, Naofumi Mori, Shuichi Kawashima

arxiv:1410.4913 v1 · 2014-10-18 · 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{PGF5YS5XLENOFJ5SYYRAXOJOAS}

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	2026-05-18T02:39:47.486403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798bdc4bb7591ae2a7b2c6220bb92e0488d802a6e59df73a456728eb6a57b21f

Aliases

arxiv: 1410.4913 · arxiv_version: 1410.4913v1 · doi: 10.48550/arxiv.1410.4913 · pith_short_12: PGF5YS5XLENO · pith_short_16: PGF5YS5XLENOFJ5S · pith_short_8: PGF5YS5X

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/PGF5YS5XLENOFJ5SYYRAXOJOAS \
  | 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: 798bdc4bb7591ae2a7b2c6220bb92e0488d802a6e59df73a456728eb6a57b21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98570660941b926af96ef8269dac22e610e3042c39dae967d9d51233a5fb1c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-18T07:12:22Z",
    "title_canon_sha256": "f45461c17cc65a58fb3b50126e2b701f51c5d9be22205cfb566caba337c91f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4913",
    "kind": "arxiv",
    "version": 1
  }
}