Pith Number

pith:J2QPGIOS

pith:2019:J2QPGIOSISVJX77SYMVMYSBLCR

not attested not anchored not stored refs pending

A priori Estimates for the Free-Boundary problem of Compressible Resistive MHD Equations and Incompressible Limit

Junyan Zhang

arxiv:1911.04928 v5 · 2019-11-10 · 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{J2QPGIOSISVJX77SYMVMYSBLCR}

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	2026-07-05T02:18:49.618583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea0f321d244aa9bfff2c32acc482b1463ea9493a975c364f72315670e3f9aa8

Aliases

arxiv: 1911.04928 · arxiv_version: 1911.04928v5 · doi: 10.48550/arxiv.1911.04928 · pith_short_12: J2QPGIOSISVJ · pith_short_16: J2QPGIOSISVJX77S · pith_short_8: J2QPGIOS

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/J2QPGIOSISVJX77SYMVMYSBLCR \
  | 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: 4ea0f321d244aa9bfff2c32acc482b1463ea9493a975c364f72315670e3f9aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ff58ae88b0364f71fcc790b84dd1657258a462c260682d57ba8ffd622d3226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-10T04:45:28Z",
    "title_canon_sha256": "77d0986c35817c1b900e74b83d0ae5d4673efc6adf81355de683ccd17f37fc82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04928",
    "kind": "arxiv",
    "version": 5
  }
}