Pith Number

pith:5FVFGIJO

pith:2011:5FVFGIJOZNZ7VC2ZFVBC4VK4XB

not attested not anchored not stored refs pending

Relaxation Limit in Besov Spaces for Compressible Euler Equations

Jiang Xu, Zejun Wang

arxiv:1109.3835 v1 · 2011-09-18 · 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{5FVFGIJOZNZ7VC2ZFVBC4VK4XB}

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	2026-05-18T04:12:45.776846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96a53212ecb73fa8b592d422e555cb879cb21982aeb3b992b8e11222b61eed6

Aliases

arxiv: 1109.3835 · arxiv_version: 1109.3835v1 · doi: 10.48550/arxiv.1109.3835 · pith_short_12: 5FVFGIJOZNZ7 · pith_short_16: 5FVFGIJOZNZ7VC2Z · pith_short_8: 5FVFGIJO

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/5FVFGIJOZNZ7VC2ZFVBC4VK4XB \
  | 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: e96a53212ecb73fa8b592d422e555cb879cb21982aeb3b992b8e11222b61eed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7211494ae3bae49445b442327938b96186bb1cc9b2fd71270ff0fe1efed730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-18T02:47:18Z",
    "title_canon_sha256": "963a1eb0fe197e41613b6b8f4f16ef1c76a0f25c462d0de3e8421a79cc46f131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3835",
    "kind": "arxiv",
    "version": 1
  }
}