Pith Number

pith:AJLFU6NV

pith:2025:AJLFU6NVX7U3WLCF5ZIG2DQDVT

not attested not anchored not stored refs pending

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension

Chengchun Hao, Siqi Yang, Tao Luo

arxiv:2507.10032 v1 · 2025-07-14 · 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{AJLFU6NVX7U3WLCF5ZIG2DQDVT}

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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.

Cited by

1 paper in Pith

Low-regularity a priori estimates, blow-up criterion, and self-intersection singularities for free-boundary ideal magnetohydrodynamics with surface tension

Receipt and verification

First computed	2026-07-05T11:36:43.948770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02565a79b5bfe9bb2c45ee506d0e03ace8101d6aa653dd20d7ab4fa1e862ca52

Aliases

arxiv: 2507.10032 · arxiv_version: 2507.10032v1 · doi: 10.48550/arxiv.2507.10032 · pith_short_12: AJLFU6NVX7U3 · pith_short_16: AJLFU6NVX7U3WLCF · pith_short_8: AJLFU6NV

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/AJLFU6NVX7U3WLCF5ZIG2DQDVT \
  | 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: 02565a79b5bfe9bb2c45ee506d0e03ace8101d6aa653dd20d7ab4fa1e862ca52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ee247316b36c6ceca5ac3e46b1ca7c3ef0bf5653f68e8cd1aabfa745b7a045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-14T08:12:20Z",
    "title_canon_sha256": "46abe0003d41c987af4af04a519acaf2df81c70d2dd92ecd3a7f20da017a89f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10032",
    "kind": "arxiv",
    "version": 1
  }
}