Pith Number

pith:B63Z55MO

pith:2026:B63Z55MO3FXF4SOS7ISDLSRDPI

not attested not anchored not stored refs pending

Global existence and blow-up for the Hardy-Sobolev parabolic equation in RN

Fei Fang, Zhong Tan

arxiv:2605.24802 v1 · 2026-05-24 · 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{B63Z55MO3FXF4SOS7ISDLSRDPI}

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	2026-05-26T01:03:59.044565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb79ef58ed96e5e49d2fa2435ca237a362a281089e02c51a255c360b9c67950

Aliases

arxiv: 2605.24802 · arxiv_version: 2605.24802v1 · doi: 10.48550/arxiv.2605.24802 · pith_short_12: B63Z55MO3FXF · pith_short_16: B63Z55MO3FXF4SOS · pith_short_8: B63Z55MO

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/B63Z55MO3FXF4SOS7ISDLSRDPI \
  | 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: 0fb79ef58ed96e5e49d2fa2435ca237a362a281089e02c51a255c360b9c67950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff8c6f534de666171f7194e5d4fdd63654132cc36adefa7f63e4e912ba9d651",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-24T01:23:39Z",
    "title_canon_sha256": "a18f4204a6a1ec6f6663058d77f89774edcd3d4a0707397cb15189317a5557ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24802",
    "kind": "arxiv",
    "version": 1
  }
}