Pith Number

pith:IKWZINF7

pith:2019:IKWZINF7C2ZC7ANKF4ZL3K6QZH

not attested not anchored not stored refs pending

A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension

Chenyun Luo, Junyan Zhang

arxiv:1907.11827 v3 · 2019-07-27 · 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{IKWZINF7C2ZC7ANKF4ZL3K6QZH}

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	2026-07-05T02:36:06.284430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ad9434bf16b22f81aa2f32bdabd0c9f6291b3a08305a7803691a29096ad9e1

Aliases

arxiv: 1907.11827 · arxiv_version: 1907.11827v3 · doi: 10.48550/arxiv.1907.11827 · pith_short_12: IKWZINF7C2ZC · pith_short_16: IKWZINF7C2ZC7ANK · pith_short_8: IKWZINF7

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/IKWZINF7C2ZC7ANKF4ZL3K6QZH \
  | 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: 42ad9434bf16b22f81aa2f32bdabd0c9f6291b3a08305a7803691a29096ad9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcb3c014aee4d617701ab8b872088cd738610d7421f563c649e8e33cbd6d601",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-27T01:51:34Z",
    "title_canon_sha256": "9e1ecfde4bcb4c215fd1a3b11a8fad72ce619c37af4c8279e6c876b1cfae1dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11827",
    "kind": "arxiv",
    "version": 3
  }
}