Pith Number

pith:7WAJVPDY

pith:2005:7WAJVPDY7Q75GM4DQF5W23VM4R

not attested not anchored not stored refs pending

Blow-Up for Nonlinear Wave Equations describing Boson Stars

Enno Lenzmann, Juerg Froehlich

arxiv:math-ph/0511003 v2 · 2005-11-01 · 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{7WAJVPDY7Q75GM4DQF5W23VM4R}

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	2026-05-18T04:07:20.084129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd809abc78fc3fd33383817b6d6eace4527331865c9fe0d181685fc712166e96

Aliases

arxiv: math-ph/0511003 · arxiv_version: math-ph/0511003v2 · doi: 10.48550/arxiv.math-ph/0511003 · pith_short_12: 7WAJVPDY7Q75 · pith_short_16: 7WAJVPDY7Q75GM4D · pith_short_8: 7WAJVPDY

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/7WAJVPDY7Q75GM4DQF5W23VM4R \
  | 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: fd809abc78fc3fd33383817b6d6eace4527331865c9fe0d181685fc712166e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ee94db0f6414934999d5f452a06a5875121592089a999b617b41fa1f76d30b",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-11-01T17:10:07Z",
    "title_canon_sha256": "4439d360b6fe8c7f396e42e26fdd3bfb9aa4fad9061a55adb64aa8a0c1420ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0511003",
    "kind": "arxiv",
    "version": 2
  }
}