Pith Number

pith:7TN5P372

pith:2011:7TN5P372HRGPCF4IHGC4WLGBSI

not attested not anchored not stored refs pending

Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation

Kenji Nakanishi, Wilhelm Schlag

arxiv:1102.5583 v1 · 2011-02-28 · 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{7TN5P372HRGPCF4IHGC4WLGBSI}

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	2026-05-18T04:27:46.514360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdbd7effa3c4cf117883985cb2cc1922b08a39c2d5c7b52a5823ae2d6e1a3b2

Aliases

arxiv: 1102.5583 · arxiv_version: 1102.5583v1 · doi: 10.48550/arxiv.1102.5583 · pith_short_12: 7TN5P372HRGP · pith_short_16: 7TN5P372HRGPCF4I · pith_short_8: 7TN5P372

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/7TN5P372HRGPCF4IHGC4WLGBSI \
  | 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: fcdbd7effa3c4cf117883985cb2cc1922b08a39c2d5c7b52a5823ae2d6e1a3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c7a747d10f95eca044cac0f62375ab88cc3809d2fa107e3c02ffc82c8f6dac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-28T03:31:36Z",
    "title_canon_sha256": "dce33adbf287b3baa760fb9495bb804b654b6d1e3287b0ee0776070e968cdb28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5583",
    "kind": "arxiv",
    "version": 1
  }
}