Pith Number

pith:P7HDLWVV

pith:2018:P7HDLWVVBYFNI5TU3M37SYX4I3

not attested not anchored not stored refs pending

The effect of nonlocal term on the superlinear Kirchhoff type equations in $\mathbb{R}^{N}$

Juntao Sun, Tsung-fang Wu

arxiv:1812.03037 v1 · 2018-12-07 · 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{P7HDLWVVBYFNI5TU3M37SYX4I3}

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	2026-05-17T23:58:51.115867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fce35dab50e0ad47674db37f962fc46cc36699e370de32ec4b493657a6a5bdc

Aliases

arxiv: 1812.03037 · arxiv_version: 1812.03037v1 · doi: 10.48550/arxiv.1812.03037 · pith_short_12: P7HDLWVVBYFN · pith_short_16: P7HDLWVVBYFNI5TU · pith_short_8: P7HDLWVV

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/P7HDLWVVBYFNI5TU3M37SYX4I3 \
  | 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: 7fce35dab50e0ad47674db37f962fc46cc36699e370de32ec4b493657a6a5bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24fe4a069b78adb5df91e28ed0c0b9d9704d999fb1e549d93a0bca96d5729e10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-07T14:29:18Z",
    "title_canon_sha256": "bf07b085d40eba1aeae6e1d57560121fa7bfacba5b491adea8f677d3d03639be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03037",
    "kind": "arxiv",
    "version": 1
  }
}