Pith Number

pith:OONMD3GG

pith:2019:OONMD3GGZ25DUX6D2HNF346CRW

not attested not anchored not stored refs pending

Bound states for logarithmic Schrodinger equations with potentials unbounded below

Chengxiang Zhang, Xu Zhang

arxiv:1905.06687 v1 · 2019-05-16 · 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{OONMD3GGZ25DUX6D2HNF346CRW}

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	2026-05-17T23:46:01.399601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739ac1ecc6ceba3a5fc3d1da5df3c28da84a3888322c1dad28ea59ad00758a5d

Aliases

arxiv: 1905.06687 · arxiv_version: 1905.06687v1 · doi: 10.48550/arxiv.1905.06687 · pith_short_12: OONMD3GGZ25D · pith_short_16: OONMD3GGZ25DUX6D · pith_short_8: OONMD3GG

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/OONMD3GGZ25DUX6D2HNF346CRW \
  | 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: 739ac1ecc6ceba3a5fc3d1da5df3c28da84a3888322c1dad28ea59ad00758a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f79186a45d9aabdbea151cd982cf0389414492d39f6c84c28fbccf4b9a4ad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-16T12:26:07Z",
    "title_canon_sha256": "04714eb671903fdfe8bfaf6feeff09581d974eb66ce5185ecd62f63f4e8ea3ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06687",
    "kind": "arxiv",
    "version": 1
  }
}