Pith Number

pith:V6WX7B33

pith:2022:V6WX7B33V7FPUCS3SXZQODBBSP

not attested not anchored not stored refs pending

Optimal blowup stability for three-dimensional wave maps

David Wallauch, Roland Donninger

arxiv:2212.08374 v3 · 2022-12-16 · 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{V6WX7B33V7FPUCS3SXZQODBBSP}

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	2026-07-05T10:42:32.929283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afad7f877bafcafa0a5b95f3070c2193fa7310788e6b4a0fea42a41684a4768d

Aliases

arxiv: 2212.08374 · arxiv_version: 2212.08374v3 · doi: 10.48550/arxiv.2212.08374 · pith_short_12: V6WX7B33V7FP · pith_short_16: V6WX7B33V7FPUCS3 · pith_short_8: V6WX7B33

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/V6WX7B33V7FPUCS3SXZQODBBSP \
  | 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: afad7f877bafcafa0a5b95f3070c2193fa7310788e6b4a0fea42a41684a4768d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07746e850c33bce78f98a542ef96fd2c5f25bb05274e6e09f72d280053d751e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-16T09:54:53Z",
    "title_canon_sha256": "00402da5099995660ff4362ee680aa6aa82cd3a7db429ae826f3b3ac125d0654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08374",
    "kind": "arxiv",
    "version": 3
  }
}