Pith Number

pith:KM4YFUVP

pith:2014:KM4YFUVPLRUW7V2D5IIP2GZEIT

not attested not anchored not stored refs pending

Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents

Ki-Ahm Lee, Seunghyeok Kim, Woocheol Choi

arxiv:1408.2384 v1 · 2014-08-11 · 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{KM4YFUVPLRUW7V2D5IIP2GZEIT}

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	2026-05-18T02:45:29.556853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533982d2af5c696fd743ea10fd1b2444d84671ced990f7b997a4f47a4b37afe6

Aliases

arxiv: 1408.2384 · arxiv_version: 1408.2384v1 · doi: 10.48550/arxiv.1408.2384 · pith_short_12: KM4YFUVPLRUW · pith_short_16: KM4YFUVPLRUW7V2D · pith_short_8: KM4YFUVP

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/KM4YFUVPLRUW7V2D5IIP2GZEIT \
  | 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: 533982d2af5c696fd743ea10fd1b2444d84671ced990f7b997a4f47a4b37afe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aeb1427e1800a168eaf06d621e9d90ac8f60a59933722ed7a0fa1c75ceaca6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-11T12:01:55Z",
    "title_canon_sha256": "af269f8f8b803961750f3351448bb9672a73ce27ec345c11a21c49666850446e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2384",
    "kind": "arxiv",
    "version": 1
  }
}