Pith Number

pith:BSWLCDQ7

pith:2007:BSWLCDQ7GY5QOLXVLIPTSHTYOO

not attested not anchored not stored refs pending

Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data

Tristan Roy

arxiv:0708.2299 v5 · 2007-08-17 · 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{BSWLCDQ7GY5QOLXVLIPTSHTYOO}

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	2026-05-18T00:41:42.425250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cacb10e1f363b072ef55a1f391e78739c36874b3b6501b75e125f629065e9e8

Aliases

arxiv: 0708.2299 · arxiv_version: 0708.2299v5 · doi: 10.48550/arxiv.0708.2299 · pith_short_12: BSWLCDQ7GY5Q · pith_short_16: BSWLCDQ7GY5QOLXV · pith_short_8: BSWLCDQ7

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/BSWLCDQ7GY5QOLXVLIPTSHTYOO \
  | 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: 0cacb10e1f363b072ef55a1f391e78739c36874b3b6501b75e125f629065e9e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9332cabdf75697ebbaba5e4fdb2e1bc9fe16756615f3f86bc2db3468e3fbaa19",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-08-17T00:02:57Z",
    "title_canon_sha256": "747d8689e3df5473c372901e5f5570e94d02b2185f54d37bac23054f3f3028ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2299",
    "kind": "arxiv",
    "version": 5
  }
}