Pith Number

pith:X7D7IR5T

pith:2012:X7D7IR5T2NJDIHLJLF626R5UYN

not attested not anchored not stored refs pending

On weak-strong uniqueness property for the full compressible magnetohydrodynamics flows

Weiping Yan

arxiv:1203.2405 v3 · 2012-03-12 · 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{X7D7IR5T2NJDIHLJLF626R5UYN}

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	2026-05-18T03:36:26.961150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc7f447b3d352341d69597daf47b4c34395a89be3f97c1d9de121f8961bfbdb

Aliases

arxiv: 1203.2405 · arxiv_version: 1203.2405v3 · doi: 10.48550/arxiv.1203.2405 · pith_short_12: X7D7IR5T2NJD · pith_short_16: X7D7IR5T2NJDIHLJ · pith_short_8: X7D7IR5T

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/X7D7IR5T2NJDIHLJLF626R5UYN \
  | 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: bfc7f447b3d352341d69597daf47b4c34395a89be3f97c1d9de121f8961bfbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6a7e7d5f932a1f60367779737f77d38beb42194c03e639fe4a7c9a6ff5ea5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-12T05:41:15Z",
    "title_canon_sha256": "ad4a6f8c5c54059e6fee01088a4f76eb4579120ca8748dbc905c5f4fe9ee9462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2405",
    "kind": "arxiv",
    "version": 3
  }
}