pith. sign in
Pith Number

pith:SMUBDEGH

pith:2016:SMUBDEGHTIBF74SZKGU7NR5WIB
not attested not anchored not stored refs pending

Ground state solutions for the nonlinear fractional Schrodinger-Poisson system

Kaimin Teng

arxiv:1605.06732 v2 · 2016-05-22 · 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{SMUBDEGHTIBF74SZKGU7NR5WIB}

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 2026-05-18T01:04:05.514878Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

93281190c79a025ff25951a9f6c7b640564559bd0e7b0b1c681887b24046a6a8

Aliases

arxiv: 1605.06732 · arxiv_version: 1605.06732v2 · doi: 10.48550/arxiv.1605.06732 · pith_short_12: SMUBDEGHTIBF · pith_short_16: SMUBDEGHTIBF74SZ · pith_short_8: SMUBDEGH
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/SMUBDEGHTIBF74SZKGU7NR5WIB \
  | 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: 93281190c79a025ff25951a9f6c7b640564559bd0e7b0b1c681887b24046a6a8
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "316ecb0d41643ad02d9d0c66c3ed41606aa8fd3b9236cab8d97a193b2b511552",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-22T04:21:19Z",
    "title_canon_sha256": "141c04e721d254d64be47ec8e39b143688ea5724e48ee296d3aa83864138b28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06732",
    "kind": "arxiv",
    "version": 2
  }
}