Pith Number

pith:4UCRLKZJ

pith:2026:4UCRLKZJBESGH2X66TXPONCDZQ

not attested not anchored not stored refs pending

Sharp Lifespan Estimates and Fujita Phenomena for Fractional Hardy-H\'enon Type Parabolic Equations

Berikbol T. Torebek, Mohamed Majdoub

arxiv:2606.26555 v1 · 2026-06-25 · 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{4UCRLKZJBESGH2X66TXPONCDZQ}

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	2026-06-26T01:15:34.482524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50515ab29092463eafef4eef73443cc0ef5e8222dd46e8fe9c4944b4b916d89

Aliases

arxiv: 2606.26555 · arxiv_version: 2606.26555v1 · doi: 10.48550/arxiv.2606.26555 · pith_short_12: 4UCRLKZJBESG · pith_short_16: 4UCRLKZJBESGH2X6 · pith_short_8: 4UCRLKZJ

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/4UCRLKZJBESGH2X66TXPONCDZQ \
  | 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: e50515ab29092463eafef4eef73443cc0ef5e8222dd46e8fe9c4944b4b916d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cfd8ec5f4558d8486187e9998667236b4e4a1f669415664dba34f9de7c38b63",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-25T03:04:39Z",
    "title_canon_sha256": "cb276a9ad900474e58586e6f4032a41cc9cd9a7d35c4be11f3b84713f921b437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26555",
    "kind": "arxiv",
    "version": 1
  }
}