Pith Number

pith:3PN234HT

pith:2011:3PN234HTBKWLB6I5EEZWSKYBMW

not attested not anchored not stored refs pending

Blow-up behavior outside the origin for a semilinear wave equation in the radial case

F. Merle, H. Zaag

arxiv:1102.1328 v1 · 2011-02-07 · 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{3PN234HTBKWLB6I5EEZWSKYBMW}

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	2026-05-18T04:29:54.499969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbdbadf0f30aacb0f91d2133692b016585c2ae28e7f23e6f478a75b1684dd6e1

Aliases

arxiv: 1102.1328 · arxiv_version: 1102.1328v1 · doi: 10.48550/arxiv.1102.1328 · pith_short_12: 3PN234HTBKWL · pith_short_16: 3PN234HTBKWLB6I5 · pith_short_8: 3PN234HT

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/3PN234HTBKWLB6I5EEZWSKYBMW \
  | 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: dbdbadf0f30aacb0f91d2133692b016585c2ae28e7f23e6f478a75b1684dd6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36f08bedfe634ddabf33e6040a03bc9a4577fe7a5175b75f53073ff57cf4d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-07T14:54:53Z",
    "title_canon_sha256": "12994ccb0f8efc3c76ff3e56b462e025f6299f9ed45ee1e6333a5aa892535154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1328",
    "kind": "arxiv",
    "version": 1
  }
}