Pith Number

pith:V35HTGWW

pith:2017:V35HTGWWVWKXDMYZXPUDG3YZ54

not attested not anchored not stored refs pending

The existence of positive least energy solutions for a class of Schrodinger-Poisson systems involving critical nonlocal term with general nonlinearity

Liejun Shen, Xiaohua Yao

arxiv:1702.03785 v1 · 2017-02-13 · 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{V35HTGWWVWKXDMYZXPUDG3YZ54}

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	2026-05-18T00:48:29.265744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefa799ad6ad9571b319bbe8336f19ef0a7d8c38e72cd2633d83494b52d010c2

Aliases

arxiv: 1702.03785 · arxiv_version: 1702.03785v1 · doi: 10.48550/arxiv.1702.03785 · pith_short_12: V35HTGWWVWKX · pith_short_16: V35HTGWWVWKXDMYZ · pith_short_8: V35HTGWW

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/V35HTGWWVWKXDMYZXPUDG3YZ54 \
  | 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: aefa799ad6ad9571b319bbe8336f19ef0a7d8c38e72cd2633d83494b52d010c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c398aa12393012c0dc68372e2a45bcc9a9301d2a1a0865b6e618ca8fbc3722",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-13T14:25:08Z",
    "title_canon_sha256": "b8a8a42d49309ba4cb5af03fdc77d5ff11e14e62c421d4e582e70499d10fff1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03785",
    "kind": "arxiv",
    "version": 1
  }
}