Pith Number

pith:PIVH3Y4E

pith:2012:PIVH3Y4EHT7IPZQPKVNWQG3QZ3

not attested not anchored not stored refs pending

Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations

Jiang Xu, Jun Xiong, Shuichi Kawashima

arxiv:1208.3532 v1 · 2012-08-17 · 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{PIVH3Y4EHT7IPZQPKVNWQG3QZ3}

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	2026-05-18T02:23:35.776151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2a7de3843cfe87e60f555b681b70cefc6124a03d141b9d38056eaf767e9e72

Aliases

arxiv: 1208.3532 · arxiv_version: 1208.3532v1 · doi: 10.48550/arxiv.1208.3532 · pith_short_12: PIVH3Y4EHT7I · pith_short_16: PIVH3Y4EHT7IPZQP · pith_short_8: PIVH3Y4E

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/PIVH3Y4EHT7IPZQPKVNWQG3QZ3 \
  | 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: 7a2a7de3843cfe87e60f555b681b70cefc6124a03d141b9d38056eaf767e9e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d1f27a98af43a28a32846eb21b7da751678d402cdce3511076fdbe1e813739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-17T05:08:46Z",
    "title_canon_sha256": "4efa23ce3cf563c81b4e30667ae8d60b3cbbba9dca36b62581fed90515616ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3532",
    "kind": "arxiv",
    "version": 1
  }
}