Pith Number

pith:NDZWEEWR

pith:2017:NDZWEEWRT6HOIAPGNG6YITYWIV

not attested not anchored not stored refs pending

On stability of type II blow up for the critical NLW on \R^{3+1}

Joachim Krieger

arxiv:1705.03907 v1 · 2017-05-10 · 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{NDZWEEWRT6HOIAPGNG6YITYWIV}

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	2026-05-18T00:44:41.873232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f36212d19f8ee401e669bd844f16455218d5d07543815cf9b9237cb97896d1

Aliases

arxiv: 1705.03907 · arxiv_version: 1705.03907v1 · doi: 10.48550/arxiv.1705.03907 · pith_short_12: NDZWEEWRT6HO · pith_short_16: NDZWEEWRT6HOIAPG · pith_short_8: NDZWEEWR

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/NDZWEEWRT6HOIAPGNG6YITYWIV \
  | 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: 68f36212d19f8ee401e669bd844f16455218d5d07543815cf9b9237cb97896d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a544bfd7a38a4338aea73f1986a25c05f35d99797726f34ff59da71d641988e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-10T18:15:28Z",
    "title_canon_sha256": "12cc498dba0c047c0d72d236b4ccc20a4066f56e16241fe2d5dc68be38b0072d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03907",
    "kind": "arxiv",
    "version": 1
  }
}