Pith Number

pith:P5HKGJ3N

pith:2019:P5HKGJ3NAVWOZ2BHPTQJ67LPGZ

not attested not anchored not stored refs pending

Positive solutions for non-variational fractional elliptic systems with negative exponents

Anderson L. A. de Araujo, Edir Junior F. Leite, Luiz F. O. Faria, Ol\'impio H. Miyagaki

arxiv:1903.08786 v1 · 2019-03-21 · 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{P5HKGJ3NAVWOZ2BHPTQJ67LPGZ}

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	2026-05-17T23:50:43.934955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4ea3276d056cece8277ce09f7d6f36659928d3b47e865c0a9f5c3ddedc58c6

Aliases

arxiv: 1903.08786 · arxiv_version: 1903.08786v1 · doi: 10.48550/arxiv.1903.08786 · pith_short_12: P5HKGJ3NAVWO · pith_short_16: P5HKGJ3NAVWOZ2BH · pith_short_8: P5HKGJ3N

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/P5HKGJ3NAVWOZ2BHPTQJ67LPGZ \
  | 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: 7f4ea3276d056cece8277ce09f7d6f36659928d3b47e865c0a9f5c3ddedc58c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ab306895ed02f7cae3be04b0b5abab7b372eb30d237ba2811aa4bfb09fb24d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-21T00:48:25Z",
    "title_canon_sha256": "5747c1936f4d714bde144acf4cf5024da2127b0fc354e3c6cd00d5fec4853b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08786",
    "kind": "arxiv",
    "version": 1
  }
}