Pith Number

pith:JBW5GOKF

pith:2015:JBW5GOKFXQEV7V2UKFOI7V4T3H

not attested not anchored not stored refs pending

Existence and multiplicity results for the fractional Schrodinger-Poisson systems

Jinguo Zhang

arxiv:1507.01205 v1 · 2015-07-05 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBW5GOKFXQEV7V2UKFOI7V4T3H}

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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	2026-05-18T01:37:17.729225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

486dd33945bc095fd754515c8fd793d9cca3632b78c77c44c7a3430a51267ab7

Aliases

arxiv: 1507.01205 · arxiv_version: 1507.01205v1 · doi: 10.48550/arxiv.1507.01205 · pith_short_12: JBW5GOKFXQEV · pith_short_16: JBW5GOKFXQEV7V2U · pith_short_8: JBW5GOKF

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/JBW5GOKFXQEV7V2UKFOI7V4T3H \
  | 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: 486dd33945bc095fd754515c8fd793d9cca3632b78c77c44c7a3430a51267ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1687341f9dc00dd17ef0bbd9c5bc4c04e343d82770265fc8abe5aafa93e18f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-05T11:46:55Z",
    "title_canon_sha256": "8a15a3012a1fcce239b50093374ff751f003ce10b779961c846ff90cd69d5876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01205",
    "kind": "arxiv",
    "version": 1
  }
}