Pith Number

pith:WVQC4I7Y

pith:2013:WVQC4I7YITIXARV2GL5J2RFUG7

not attested not anchored not stored refs pending

On regular solutions of the 3-D compressible isentropic Euler-Boltzmann equations with vacuum

Shengguo Zhu, Yachun Li

arxiv:1309.7420 v3 · 2013-09-28 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVQC4I7YITIXARV2GL5J2RFUG7}

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	2026-05-18T02:41:01.775142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5602e23f844d17046ba32fa9d44b437e72f8f7d3f6ab2d61880b2af1187a8c4

Aliases

arxiv: 1309.7420 · arxiv_version: 1309.7420v3 · doi: 10.48550/arxiv.1309.7420 · pith_short_12: WVQC4I7YITIX · pith_short_16: WVQC4I7YITIXARV2 · pith_short_8: WVQC4I7Y

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/WVQC4I7YITIXARV2GL5J2RFUG7 \
  | 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: b5602e23f844d17046ba32fa9d44b437e72f8f7d3f6ab2d61880b2af1187a8c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a671677572c47cd4a1c4b73f3f28c77a6ec8f0d9ad6601512d480cebbfe4a5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-28T03:47:00Z",
    "title_canon_sha256": "0403bd4d810a6af1ccaae549372fa6a2952599f46fd916fd88b45323f1361ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7420",
    "kind": "arxiv",
    "version": 3
  }
}