Pith Number

pith:5VOLFWHR

pith:2025:5VOLFWHRKLERJMIP6V375O5XJS

not attested not anchored not stored refs pending

Stable blowup for supercritical wave maps into perturbed spheres

Alexander Wittenstein, Birgit Sch\"orkhuber, Roland Donninger

arxiv:2503.04425 v1 · 2025-03-06 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VOLFWHRKLERJMIP6V375O5XJS}

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.

Cited by

1 paper in Pith

Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation

Receipt and verification

First computed	2026-07-05T10:25:38.405752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5cb2d8f152c914b10ff577febbb74c83d08b8fb230a5e6ee9cb6ce38fc0fed

Aliases

arxiv: 2503.04425 · arxiv_version: 2503.04425v1 · doi: 10.48550/arxiv.2503.04425 · pith_short_12: 5VOLFWHRKLER · pith_short_16: 5VOLFWHRKLERJMIP · pith_short_8: 5VOLFWHR

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/5VOLFWHRKLERJMIP6V375O5XJS \
  | 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: ed5cb2d8f152c914b10ff577febbb74c83d08b8fb230a5e6ee9cb6ce38fc0fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62304d1527b969cece7c80972775d92563c0640252202d6823a0a0861413f0d5",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-06T13:34:00Z",
    "title_canon_sha256": "e9f4857cd27ea87a13c91bb1e1c277a9d5d08ddb17294400370c222e871f330e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04425",
    "kind": "arxiv",
    "version": 1
  }
}