Pith Number

pith:X7X6UVIN

pith:2019:X7X6UVINMBKBOJNTI5J53J5JJ4

not attested not anchored not stored refs pending

A higher speed type II blowup for the five dimensional energy critical heat equation

Junichi Harada

arxiv:1906.03976 v1 · 2019-06-10 · 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{X7X6UVINMBKBOJNTI5J53J5JJ4}

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

Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5

Receipt and verification

First computed	2026-05-17T23:43:44.310780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfefea550d60541725b34753dda7a94f3005117ba84bee70d930457a101569aa

Aliases

arxiv: 1906.03976 · arxiv_version: 1906.03976v1 · doi: 10.48550/arxiv.1906.03976 · pith_short_12: X7X6UVINMBKB · pith_short_16: X7X6UVINMBKBOJNT · pith_short_8: X7X6UVIN

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/X7X6UVINMBKBOJNTI5J53J5JJ4 \
  | 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: bfefea550d60541725b34753dda7a94f3005117ba84bee70d930457a101569aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9315921e36324e6a7b390b336e2f4e8e02ea12690a73b16d545c86745e445969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-10T13:46:36Z",
    "title_canon_sha256": "40d38b3602e14f5adc0695fca934c45c958da8a020ce266c76e5e34fef12c00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03976",
    "kind": "arxiv",
    "version": 1
  }
}