Pith Number

pith:GNSMPHN4

pith:2012:GNSMPHN456TNICSZFHUMZQXZDX

not attested not anchored not stored refs pending

Stable self-similar blow up for energy subcritical wave equations

Birgit Sch\"orkhuber, Roland Donninger

arxiv:1201.4337 v3 · 2012-01-20 · 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{GNSMPHN456TNICSZFHUMZQXZDX}

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

Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results

Receipt and verification

First computed	2026-05-18T03:51:23.517895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3364c79dbcefa6d40a5929e8ccc2f91ddd4f8bb0dfd120f5480f49116355d35a

Aliases

arxiv: 1201.4337 · arxiv_version: 1201.4337v3 · doi: 10.48550/arxiv.1201.4337 · pith_short_12: GNSMPHN456TN · pith_short_16: GNSMPHN456TNICSZ · pith_short_8: GNSMPHN4

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/GNSMPHN456TNICSZFHUMZQXZDX \
  | 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: 3364c79dbcefa6d40a5929e8ccc2f91ddd4f8bb0dfd120f5480f49116355d35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450817c0a5cbd07686ba00095148b067b9b06457d0b88088e753661f29ffe483",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-20T16:48:54Z",
    "title_canon_sha256": "c95366d51ca91f2a5d6d5a2b7937ba155e1b88b1400ab7490be82b911684b326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4337",
    "kind": "arxiv",
    "version": 3
  }
}