Pith Number

pith:4SOVKE3U

pith:2014:4SOVKE3UQKBIX6EHNMNK4E6DUQ

not attested not anchored not stored refs pending

Three solutions for a fractional elliptic problems with critical and supercritical growth

Jinguo Zhang

arxiv:1404.7361 v1 · 2014-04-29 · 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{4SOVKE3UQKBIX6EHNMNK4E6DUQ}

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	2026-05-18T02:52:56.780154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49d55137482828bf8876b1aae13c3a42e73b7994e8b61dd6a58078fe3f5e5cf

Aliases

arxiv: 1404.7361 · arxiv_version: 1404.7361v1 · doi: 10.48550/arxiv.1404.7361 · pith_short_12: 4SOVKE3UQKBI · pith_short_16: 4SOVKE3UQKBIX6EH · pith_short_8: 4SOVKE3U

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/4SOVKE3UQKBIX6EHNMNK4E6DUQ \
  | 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: e49d55137482828bf8876b1aae13c3a42e73b7994e8b61dd6a58078fe3f5e5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d3bf975aa00e64458e3cd62b52404866524fc5a87ca07c926c61c9fb117bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-29T13:50:38Z",
    "title_canon_sha256": "b14fef079837b30feb0ea95690fee23117713dad4cf588b1ee9d4d888cc690e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7361",
    "kind": "arxiv",
    "version": 1
  }
}