Pith Number

pith:QJZABQQI

pith:2007:QJZABQQIBBCKWW4TB5ZLHZAJOI

not attested not anchored not stored refs pending

Concerning the Strauss conjecture and almost global existence for nonlinear Dirichlet-wave equations in 4-dimensions

Christopher D. Sogge, Jason Metcalfe, Yi Du, Yi Zhou

arxiv:0710.2026 v2 · 2007-10-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJZABQQIBBCKWW4TB5ZLHZAJOI}

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	2026-05-18T03:35:26.883176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827200c2080844ab5b930f72b3e409720909e6b075adb2b0e66d3b3c845926c8

Aliases

arxiv: 0710.2026 · arxiv_version: 0710.2026v2 · doi: 10.48550/arxiv.0710.2026 · pith_short_12: QJZABQQIBBCK · pith_short_16: QJZABQQIBBCKWW4T · pith_short_8: QJZABQQI

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/QJZABQQIBBCKWW4TB5ZLHZAJOI \
  | 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: 827200c2080844ab5b930f72b3e409720909e6b075adb2b0e66d3b3c845926c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b14663e0bc65aca06b5905713718aa72778f5ebe4a8a9f58f64c9acf071aa56",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-10T14:26:09Z",
    "title_canon_sha256": "c6066befd93c7920377c7a0bcb34ab5ffbedeeb733db1ab89232c854c4ed4175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2026",
    "kind": "arxiv",
    "version": 2
  }
}