Pith Number

pith:2N5T7BZI

pith:2020:2N5T7BZIOP2DAMVA47F262CWD5

not attested not anchored not stored refs pending

The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian

Ran Zhuo, Yan Li

arxiv:2006.07355 v1 · 2020-06-12 · 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{2N5T7BZIOP2DAMVA47F262CWD5}

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	2026-07-05T01:09:53.845432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37b3f872873f43032a0e7cbaf68561f7435d94acbaf83711c614895dc690718

Aliases

arxiv: 2006.07355 · arxiv_version: 2006.07355v1 · doi: 10.48550/arxiv.2006.07355 · pith_short_12: 2N5T7BZIOP2D · pith_short_16: 2N5T7BZIOP2DAMVA · pith_short_8: 2N5T7BZI

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/2N5T7BZIOP2DAMVA47F262CWD5 \
  | 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: d37b3f872873f43032a0e7cbaf68561f7435d94acbaf83711c614895dc690718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768bb06c344677dd54276bae1460ba20ac44f076b2a9dd628d201ce55cadcb76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-12T17:45:27Z",
    "title_canon_sha256": "93183df8e7cfeecfdd319802960dbdef6b94f46b5745361f3403425dd13289e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07355",
    "kind": "arxiv",
    "version": 1
  }
}