Pith Number

pith:VLZ34FZ7

pith:2015:VLZ34FZ7YXDWGMGFP665XF5CXN

not attested not anchored not stored refs pending

The Brezis-Nirenberg problem for nonlocal systems

Chengxiang Zhang, Fabio Pereira, Luiz Faria, Marco Squassina, Olimpio Miyagaki

arxiv:1508.05206 v1 · 2015-08-21 · 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{VLZ34FZ7YXDWGMGFP665XF5CXN}

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	2026-05-18T01:34:56.435223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf3be173fc5c76330c57fbddb97a2bb7e2e8015d8d19c68dabdb1de6d42f4e9

Aliases

arxiv: 1508.05206 · arxiv_version: 1508.05206v1 · doi: 10.48550/arxiv.1508.05206 · pith_short_12: VLZ34FZ7YXDW · pith_short_16: VLZ34FZ7YXDWGMGF · pith_short_8: VLZ34FZ7

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/VLZ34FZ7YXDWGMGFP665XF5CXN \
  | 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: aaf3be173fc5c76330c57fbddb97a2bb7e2e8015d8d19c68dabdb1de6d42f4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29ef2f60f6467cf8858b897bcb57e4a392b8726ec71484e149e237d7bf8935f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-21T08:30:08Z",
    "title_canon_sha256": "21c09683b9977e7bc065456804bc0d19b63f92f0c973d1ce840f7f840b6a0e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05206",
    "kind": "arxiv",
    "version": 1
  }
}