Pith Number

pith:QC34BMSG

pith:2021:QC34BMSGNZKBGFMA5JCJCF5GQB

not attested not anchored not stored refs pending

Zero Surface Tension Limit of the Free-Boundary Problem in Incompressible Magnetohydrodynamics

Chenyun Luo, Junyan Zhang, Xumin Gu

arxiv:2109.05400 v4 · 2021-09-12 · 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{QC34BMSGNZKBGFMA5JCJCF5GQB}

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	2026-07-05T05:12:26.225607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b7c0b2466e54131580ea449117a6806f6d1cbcd64250e505935773d99b678e

Aliases

arxiv: 2109.05400 · arxiv_version: 2109.05400v4 · doi: 10.48550/arxiv.2109.05400 · pith_short_12: QC34BMSGNZKB · pith_short_16: QC34BMSGNZKBGFMA · pith_short_8: QC34BMSG

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/QC34BMSGNZKBGFMA5JCJCF5GQB \
  | 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: 80b7c0b2466e54131580ea449117a6806f6d1cbcd64250e505935773d99b678e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ff996190acd1e24693f46858d5d6fc64ab13f8a1e729f0d04ba7bef3336c0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-12T01:55:37Z",
    "title_canon_sha256": "d5c9469da6e50e714149c5df883a6bde2c8188d3718b0186b484eb3f3f34ac3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05400",
    "kind": "arxiv",
    "version": 4
  }
}