Pith Number

pith:UZC4T5HR

pith:2018:UZC4T5HRYDTCLE5WBHQXHFO3YD

not attested not anchored not stored refs pending

Elliptic problem involving finite many critical exponents in $\mathbb{R}^{N}$

Haibo Chen, Yu Su

arxiv:1805.08012 v2 · 2018-05-21 · 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{UZC4T5HRYDTCLE5WBHQXHFO3YD}

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	2026-05-18T00:14:53.169136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a645c9f4f1c0e62593b609e17395dbc0d7347739ae12ed02c99059c442336ea9

Aliases

arxiv: 1805.08012 · arxiv_version: 1805.08012v2 · doi: 10.48550/arxiv.1805.08012 · pith_short_12: UZC4T5HRYDTC · pith_short_16: UZC4T5HRYDTCLE5W · pith_short_8: UZC4T5HR

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/UZC4T5HRYDTCLE5WBHQXHFO3YD \
  | 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: a645c9f4f1c0e62593b609e17395dbc0d7347739ae12ed02c99059c442336ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57f461ff1795a2ce98e88a0cff7cf8070aaebdfa6a8adc35e80a9f4a127bc7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-21T12:21:00Z",
    "title_canon_sha256": "57de98e09eba028653aca32abd3a331176ab4e9779d6d8398a1a132769122c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08012",
    "kind": "arxiv",
    "version": 2
  }
}