Pith Number

pith:L6NCKC3M

pith:2015:L6NCKC3MOXSYFMTFIVLCVNDYIJ

not attested not anchored not stored refs pending

Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian

Alexander Quaas, Aliang Xia

arxiv:1511.03066 v1 · 2015-11-10 · 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{L6NCKC3MOXSYFMTFIVLCVNDYIJ}

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	2026-05-18T00:49:00.165209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f9a250b6c75e582b26545562ab47842735bc5433d011119fb1d5373112d79d1

Aliases

arxiv: 1511.03066 · arxiv_version: 1511.03066v1 · doi: 10.48550/arxiv.1511.03066 · pith_short_12: L6NCKC3MOXSY · pith_short_16: L6NCKC3MOXSYFMTF · pith_short_8: L6NCKC3M

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/L6NCKC3MOXSYFMTFIVLCVNDYIJ \
  | 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: 5f9a250b6c75e582b26545562ab47842735bc5433d011119fb1d5373112d79d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c8b5539bb446da5de87bb09f18c018ea0c73fb0f00be32ca3824753e7a2347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-10T11:26:52Z",
    "title_canon_sha256": "73b2690044c98518f82cb3b981e5fc9224958bc02246a8446053001e5dcab245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03066",
    "kind": "arxiv",
    "version": 1
  }
}