Pith Number

pith:S4JSTK5K

pith:2019:S4JSTK5KCHX2QLOJVKHJJERERU

not attested not anchored not stored refs pending

Existence of a positive solution for a logarithmic Schr\"{o}dinger equation with saddle-like potential

Chao Ji, Claudianor O. Alves

arxiv:1904.09772 v1 · 2019-04-22 · 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{S4JSTK5KCHX2QLOJVKHJJERERU}

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	2026-05-17T23:48:03.392611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971329abaa11efa82dc9aa8e9492248d262eea06992b0db2d4c647af918addf0

Aliases

arxiv: 1904.09772 · arxiv_version: 1904.09772v1 · doi: 10.48550/arxiv.1904.09772 · pith_short_12: S4JSTK5KCHX2 · pith_short_16: S4JSTK5KCHX2QLOJ · pith_short_8: S4JSTK5K

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/S4JSTK5KCHX2QLOJVKHJJERERU \
  | 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: 971329abaa11efa82dc9aa8e9492248d262eea06992b0db2d4c647af918addf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a5d861edd65c52e0d4e9cbcab40c2b9d033341df1227ddc5b65fbd949c7715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-22T08:49:38Z",
    "title_canon_sha256": "e5135fb86a007753fee410bbaf79c1b46960ad1e7f74f4354980ae4d70457cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09772",
    "kind": "arxiv",
    "version": 1
  }
}