Pith Number

pith:P7WEFMRS

pith:2026:P7WEFMRS4TP36XY4INJVXSWNYI

not attested not anchored not stored refs pending

Symmetry and classification of positive standing waves of nonlinear Hartree type equations

Ederson Moreira dos Santos, Eduardo de Souza B\"oer, Gustavo de Paula Ramos

arxiv:2605.23127 v1 · 2026-05-22 · 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{P7WEFMRS4TP36XY4INJVXSWNYI}

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	2026-05-25T02:01:39.506298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fec42b232e4dfbf5f1c43535bcacdc21fd875ea597ca1d398be424d69ea9e83

Aliases

arxiv: 2605.23127 · arxiv_version: 2605.23127v1 · doi: 10.48550/arxiv.2605.23127 · pith_short_12: P7WEFMRS4TP3 · pith_short_16: P7WEFMRS4TP36XY4 · pith_short_8: P7WEFMRS

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/P7WEFMRS4TP36XY4INJVXSWNYI \
  | 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: 7fec42b232e4dfbf5f1c43535bcacdc21fd875ea597ca1d398be424d69ea9e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653bf2ea099c61d5a4f227323ea981cead04260a83821ba4d0a794bf80b14a2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T01:03:10Z",
    "title_canon_sha256": "86cd3e63836941ab166419ed91d9287bfe9f5bf06df1997d93b9afbec38d570c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23127",
    "kind": "arxiv",
    "version": 1
  }
}