Pith Number

pith:64IWNUPJ

pith:2010:64IWNUPJFWX47HXRRAM5NSW3FR

not attested not anchored not stored refs pending

Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption

Kenji Nakanishi, Wilhelm Schlag

arxiv:1011.0132 v1 · 2010-10-31 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64IWNUPJFWX47HXRRAM5NSW3FR}

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	2026-05-18T02:04:54.563203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71166d1e92dafcf9ef18819d6cadb2c5c3ace65dc02500b6b320e61ea87aa9a

Aliases

arxiv: 1011.0132 · arxiv_version: 1011.0132v1 · doi: 10.48550/arxiv.1011.0132 · pith_short_12: 64IWNUPJFWX4 · pith_short_16: 64IWNUPJFWX47HXR · pith_short_8: 64IWNUPJ

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/64IWNUPJFWX47HXRRAM5NSW3FR \
  | 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: f71166d1e92dafcf9ef18819d6cadb2c5c3ace65dc02500b6b320e61ea87aa9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a27787df6bf97e878d7c7f2f454cf166227a1f3f8eb95ea788337678cddf1ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-31T07:51:03Z",
    "title_canon_sha256": "01201bc7739c8c87a11636598fdd0db153c21a60ff3483d4125dcafd0971394e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0132",
    "kind": "arxiv",
    "version": 1
  }
}