Pith Number

pith:H3SFPB5M

pith:2016:H3SFPB5M7LRDU5T6QXI2MDTCQT

not attested not anchored not stored refs pending

A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity

Fucai Li, Gen Nakamura, Jishan Fan

arxiv:1608.03557 v1 · 2016-08-11 · 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{H3SFPB5M7LRDU5T6QXI2MDTCQT}

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	2026-05-18T01:09:28.731912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee45787acfae23a767e85d1a60e6284fb1ef03cb2b8c5e5596e4596242d20cb

Aliases

arxiv: 1608.03557 · arxiv_version: 1608.03557v1 · doi: 10.48550/arxiv.1608.03557 · pith_short_12: H3SFPB5M7LRD · pith_short_16: H3SFPB5M7LRDU5T6 · pith_short_8: H3SFPB5M

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/H3SFPB5M7LRDU5T6QXI2MDTCQT \
  | 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: 3ee45787acfae23a767e85d1a60e6284fb1ef03cb2b8c5e5596e4596242d20cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9302a545b239114e5b0d4af35787a42342b71ea05c3286f78c8e52b3a22658d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-11T18:08:10Z",
    "title_canon_sha256": "9d99c57a35401a2add6fd675cd5171211de6ecb2fd827cce75c6cb63908c321c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03557",
    "kind": "arxiv",
    "version": 1
  }
}