Pith Number

pith:ZYOSQ7OM

pith:2025:ZYOSQ7OMRIVDGDV3XK45VJAV7V

not attested not anchored not stored refs pending

Energy local minimizers for the nonlinear Schr\"{o}dinger equation on product spaces

Dario Pierotti, Gianmaria Verzini, Junwei Yu

arxiv:2506.22371 v1 · 2025-06-27 · 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{ZYOSQ7OMRIVDGDV3XK45VJAV7V}

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	2026-07-05T11:28:26.204333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1d287dcc8a2a330ebbbab9daa415fd538dee7ad9ee1e5faf4344ce52a9106a

Aliases

arxiv: 2506.22371 · arxiv_version: 2506.22371v1 · doi: 10.48550/arxiv.2506.22371 · pith_short_12: ZYOSQ7OMRIVD · pith_short_16: ZYOSQ7OMRIVDGDV3 · pith_short_8: ZYOSQ7OM

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/ZYOSQ7OMRIVDGDV3XK45VJAV7V \
  | 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: ce1d287dcc8a2a330ebbbab9daa415fd538dee7ad9ee1e5faf4344ce52a9106a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b2309ad4001fd27a62e601f6358c96b67d18bfb68bb5cb44c8ed2ca0e40294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-27T16:37:04Z",
    "title_canon_sha256": "4b7634995c5d5e97ee5ea8e1303936bf1041feeb9598a78313941b76fcb76b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22371",
    "kind": "arxiv",
    "version": 1
  }
}