Pith Number

pith:X6AGP3CC

pith:2019:X6AGP3CCCPILJPZLQD2TFAJA27

not attested not anchored not stored refs pending

Energy conservation for the weak solutions to the equations of compressible magnetohydrodynamic flows in three dimensions

Mei Zhang, Tingsheng Wang, Xinhua Zhao, Yingshan Chen

arxiv:1906.10371 v1 · 2019-06-25 · 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{X6AGP3CCCPILJPZLQD2TFAJA27}

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	2026-05-17T23:42:18.256662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8067ec4213d0b4bf2b80f5328120d7c01bcd8320feb7592c80298cec44236a

Aliases

arxiv: 1906.10371 · arxiv_version: 1906.10371v1 · doi: 10.48550/arxiv.1906.10371 · pith_short_12: X6AGP3CCCPIL · pith_short_16: X6AGP3CCCPILJPZL · pith_short_8: X6AGP3CC

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/X6AGP3CCCPILJPZLQD2TFAJA27 \
  | 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: bf8067ec4213d0b4bf2b80f5328120d7c01bcd8320feb7592c80298cec44236a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f064f70bd90390401c995e2e0b2ebcc0f583eb446a38ce9e9d49811e06bc847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-25T08:14:15Z",
    "title_canon_sha256": "ad18e9dc77d0a848832c3fdb3e72a28d324b8526efc6929b8955a7e95efe422f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10371",
    "kind": "arxiv",
    "version": 1
  }
}