Pith Number

pith:GOGSXEYV

pith:2010:GOGSXEYVZKVWTILG77LMJJNOJD

not attested not anchored not stored refs pending

Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation

Nikodem Szpak, Piotr Bizo\'n, Tadeusz Chmaj

arxiv:1012.1033 v2 · 2010-12-05 · math-ph · math.AP · 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{GOGSXEYVZKVWTILG77LMJJNOJD}

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	2026-05-18T04:11:07.375829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

338d2b9315caab69a166ffd6c4a5ae48d0a253678ff8393fdf467fa4aecb438a

Aliases

arxiv: 1012.1033 · arxiv_version: 1012.1033v2 · doi: 10.48550/arxiv.1012.1033 · pith_short_12: GOGSXEYVZKVW · pith_short_16: GOGSXEYVZKVWTILG · pith_short_8: GOGSXEYV

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/GOGSXEYVZKVWTILG77LMJJNOJD \
  | 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: 338d2b9315caab69a166ffd6c4a5ae48d0a253678ff8393fdf467fa4aecb438a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333599eed64a53cd03c620d40f39811e93b2a28ae5391acf393845176355db64",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-05T20:22:47Z",
    "title_canon_sha256": "44e57c179f17472afd387426ddc5f70962a98c8c12c26b090ed2264c8fc8e7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1033",
    "kind": "arxiv",
    "version": 2
  }
}