Pith Number

pith:NL7GBRDU

pith:2004:NL7GBRDUOPNI45YWX5ZG5PSJBX

not attested not anchored not stored refs pending

Blow Up for the Semilinear Wave Equation in Schwarzschild Metric

Davide Catania, Vladimir Georgiev

arxiv:math-ph/0407001 v2 · 2004-07-01 · 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{NL7GBRDUOPNI45YWX5ZG5PSJBX}

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	2026-05-18T04:41:54.094383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6afe60c47473da8e7716bf726ebe490df46717b434104653b12690bfee841512

Aliases

arxiv: math-ph/0407001 · arxiv_version: math-ph/0407001v2 · doi: 10.48550/arxiv.math-ph/0407001 · pith_short_12: NL7GBRDUOPNI · pith_short_16: NL7GBRDUOPNI45YW · pith_short_8: NL7GBRDU

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/NL7GBRDUOPNI45YWX5ZG5PSJBX \
  | 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: 6afe60c47473da8e7716bf726ebe490df46717b434104653b12690bfee841512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f312a185fa38685ee00aefdfbea8273ebc467d662207949d1a2ca8ed93aaa3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-07-01T13:15:16Z",
    "title_canon_sha256": "79a0533f3eec8ff05995c7e158e78ad1f2cdc940144dacdf950060a69deea956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0407001",
    "kind": "arxiv",
    "version": 2
  }
}