Pith Number

pith:G2C26BCL

pith:2019:G2C26BCLB3RRBDZHBDLT4SFMDE

not attested not anchored not stored refs pending

Symmetry of Positive Solutions for the Fractional Schr$ \ddot{\textrm{o}}$dinger Equations with Choquard-type Nonlinearities

Xiaoya Huang, Zhenqiu Zhang

arxiv:1906.02388 v1 · 2019-06-06 · 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{G2C26BCLB3RRBDZHBDLT4SFMDE}

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	2026-05-17T23:44:01.368149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3685af044b0ee3108f2708d73e48ac19082523c3032b5642d3597f3ebae2d013

Aliases

arxiv: 1906.02388 · arxiv_version: 1906.02388v1 · doi: 10.48550/arxiv.1906.02388 · pith_short_12: G2C26BCLB3RR · pith_short_16: G2C26BCLB3RRBDZH · pith_short_8: G2C26BCL

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/G2C26BCLB3RRBDZHBDLT4SFMDE \
  | 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: 3685af044b0ee3108f2708d73e48ac19082523c3032b5642d3597f3ebae2d013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993153103ce58006ab2576adedea27e31643849a454d83db95ad73874cb9fc05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-06T02:49:45Z",
    "title_canon_sha256": "112d31747048f98cf0ad9e5f972c66705fa0dd19b7e1c38f6b88f75a2ebfeab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02388",
    "kind": "arxiv",
    "version": 1
  }
}