Pith Number

pith:3V3CTOPI

pith:2025:3V3CTOPINL7JLBGOHNZZ3IUDXI

not attested not anchored not stored refs pending

Existence and local uniqueness of multi-spike solutions for Br\'{e}zis-Nirenberg problem with prescribed mass

Huan-Song Zhou, Xiaoyu Zeng, Zongyan Lv

arxiv:2505.14168 v1 · 2025-05-20 · 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{3V3CTOPINL7JLBGOHNZZ3IUDXI}

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	2026-07-05T11:05:57.097854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7629b9e86afe9584ce3b739da283ba19b09df46c80c07294c830560b79e8aa

Aliases

arxiv: 2505.14168 · arxiv_version: 2505.14168v1 · doi: 10.48550/arxiv.2505.14168 · pith_short_12: 3V3CTOPINL7J · pith_short_16: 3V3CTOPINL7JLBGO · pith_short_8: 3V3CTOPI

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/3V3CTOPINL7JLBGOHNZZ3IUDXI \
  | 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: dd7629b9e86afe9584ce3b739da283ba19b09df46c80c07294c830560b79e8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528aa1ece0121d651011df75f395df7b87416b6d92e1d81e59537ca6261b9dd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-20T10:19:10Z",
    "title_canon_sha256": "7f2edd32c028631187cf94b2ddc5ef6b2b4dbbb00b701f930dd3df943ee085ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14168",
    "kind": "arxiv",
    "version": 1
  }
}