Pith Number

pith:T4QKPNI6

pith:2017:T4QKPNI6LXGLEK3KRLADP6HV3R

not attested not anchored not stored refs pending

Fractional Kirchhoff equation with a general critical nonlinearity

Hua Jin, Wenbin Liu

arxiv:1704.02705 v2 · 2017-04-10 · 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{T4QKPNI6LXGLEK3KRLADP6HV3R}

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	2026-05-18T00:46:22.117397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f20a7b51e5dccb22b6a8ac037f8f5dc70efc4b3dfb914939aac15cfd9041918

Aliases

arxiv: 1704.02705 · arxiv_version: 1704.02705v2 · doi: 10.48550/arxiv.1704.02705 · pith_short_12: T4QKPNI6LXGL · pith_short_16: T4QKPNI6LXGLEK3K · pith_short_8: T4QKPNI6

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/T4QKPNI6LXGLEK3KRLADP6HV3R \
  | 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: 9f20a7b51e5dccb22b6a8ac037f8f5dc70efc4b3dfb914939aac15cfd9041918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46343a338325c1075dfc1663bec1240b70ef01626b2c552860b0e72d601a2b6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-10T04:14:04Z",
    "title_canon_sha256": "3c150794224e175e65772d5327731b5b584dbb514f3c7fbfb62ef86d4816a15a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02705",
    "kind": "arxiv",
    "version": 2
  }
}