Pith Number

pith:AXPLHDPL

pith:2015:AXPLHDPLR3L5WW4TNMWNRUYNU3

not attested not anchored not stored refs pending

Existence and concentration of solutions for a fractional Schrodinger equations with sublinear nonlinearity

Jinguo Zhang, Weifeng Jiang

arxiv:1502.02221 v1 · 2015-02-08 · 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{AXPLHDPLR3L5WW4TNMWNRUYNU3}

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	2026-05-18T02:27:43.298088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05deb38deb8ed7db5b936b2cd8d30da6eb47032824be7e7df62c205e3d1cdd66

Aliases

arxiv: 1502.02221 · arxiv_version: 1502.02221v1 · doi: 10.48550/arxiv.1502.02221 · pith_short_12: AXPLHDPLR3L5 · pith_short_16: AXPLHDPLR3L5WW4T · pith_short_8: AXPLHDPL

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/AXPLHDPLR3L5WW4TNMWNRUYNU3 \
  | 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: 05deb38deb8ed7db5b936b2cd8d30da6eb47032824be7e7df62c205e3d1cdd66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466707d6a5aa4d5b9bbdc7a4661ae79582a2a51e3863e65da94509bd0d6de1d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-08T07:08:55Z",
    "title_canon_sha256": "b1896e26e8e26945c256272c1be70f310d8e21820a0fe9ef10761714ac191c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02221",
    "kind": "arxiv",
    "version": 1
  }
}