Pith Number

pith:LWHPL7BK

pith:2010:LWHPL7BKO7ABUVC2ODTWOEP5XS

not attested not anchored not stored refs pending

Global dynamics above the ground state energy for the cubic NLS equation in 3D

Kenji Nakanishi, Wilhelm Schlag

arxiv:1007.4025 v2 · 2010-07-22 · 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{LWHPL7BKO7ABUVC2ODTWOEP5XS}

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	2026-05-18T04:27:26.971707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8ef5fc2a77c01a545a70e76711fdbcb9b2233c73527323d72ead628ca325f2

Aliases

arxiv: 1007.4025 · arxiv_version: 1007.4025v2 · doi: 10.48550/arxiv.1007.4025 · pith_short_12: LWHPL7BKO7AB · pith_short_16: LWHPL7BKO7ABUVC2 · pith_short_8: LWHPL7BK

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/LWHPL7BKO7ABUVC2ODTWOEP5XS \
  | 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: 5d8ef5fc2a77c01a545a70e76711fdbcb9b2233c73527323d72ead628ca325f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778abb8709a7ae73ae44134d1c9c7bc095dd4f18011810433492126e90b409fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-22T23:25:44Z",
    "title_canon_sha256": "3ac5c469867baa475f8f3e5a8b333e241c2f2f3e4cf6f1518305a0948875527a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4025",
    "kind": "arxiv",
    "version": 2
  }
}