Pith Number

pith:GWZANSHY

pith:2025:GWZANSHY5F3UKKOASCHRG6OORD

not attested not anchored not stored refs pending

Well-posedness and $L^1-L^p$ Smoothing Effect of the Porous Media Equation under Poincar\'e Inequality

Lukang Sun

arxiv:2504.05722 v4 · 2025-04-08 · 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{GWZANSHY5F3UKKOASCHRG6OORD}

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	2026-05-18T02:44:39.242138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b206c8f8e9774529c0908f1379ce88f107af980c8a982217b6b2f3f76f82a5

Aliases

arxiv: 2504.05722 · arxiv_version: 2504.05722v4 · doi: 10.48550/arxiv.2504.05722 · pith_short_12: GWZANSHY5F3U · pith_short_16: GWZANSHY5F3UKKOA · pith_short_8: GWZANSHY

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/GWZANSHY5F3UKKOASCHRG6OORD \
  | 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: 35b206c8f8e9774529c0908f1379ce88f107af980c8a982217b6b2f3f76f82a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696bbc69e8e8951383fdfdcec5b86d6352553f636a77b4fc6ed697785a14568f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-08T06:45:24Z",
    "title_canon_sha256": "3fd9188759f52ff8818e6cde8d5da7136cbf2e84dc342250d85ae7fc5c555d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05722",
    "kind": "arxiv",
    "version": 4
  }
}