Pith Number

pith:VV32W47N

pith:2019:VV32W47NRUA63VGTUFGVNDQPVR

not attested not anchored not stored refs pending

A Regularity Result for the Incompressible Magnetohydrodynamics Equations with Free Surface Boundary

Chenyun Luo, Junyan Zhang

arxiv:1904.05444 v3 · 2019-04-10 · 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{VV32W47NRUA63VGTUFGVNDQPVR}

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	2026-07-05T04:36:44.889612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad77ab73ed8d01edd4d3a14d568e0fac438550b7291efe658a41ed00e415b549

Aliases

arxiv: 1904.05444 · arxiv_version: 1904.05444v3 · doi: 10.48550/arxiv.1904.05444 · pith_short_12: VV32W47NRUA6 · pith_short_16: VV32W47NRUA63VGT · pith_short_8: VV32W47N

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/VV32W47NRUA63VGTUFGVNDQPVR \
  | 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: ad77ab73ed8d01edd4d3a14d568e0fac438550b7291efe658a41ed00e415b549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abd7b678cf1f8f6e61170dc28e698b59031dac2e69ccba25094c6a94e58c566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-10T21:14:19Z",
    "title_canon_sha256": "32202d68f2172e601897d062cc96da96096d27f1787bad163d5b8d6b960c3060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05444",
    "kind": "arxiv",
    "version": 3
  }
}