Pith Number

pith:2JMU37QT

pith:2023:2JMU37QTZAEU5JDSKH2ZCPFZUU

not attested not anchored not stored refs pending

Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality

Jinsol Seo

arxiv:2304.10451 v1 · 2023-04-20 · 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{2JMU37QTZAEU5JDSKH2ZCPFZUU}

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	2026-07-05T06:02:58.335936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2594dfe13c8094ea47251f5913cb9a53d373cc1acb7f78732acd2cf20601399

Aliases

arxiv: 2304.10451 · arxiv_version: 2304.10451v1 · doi: 10.48550/arxiv.2304.10451 · pith_short_12: 2JMU37QTZAEU · pith_short_16: 2JMU37QTZAEU5JDS · pith_short_8: 2JMU37QT

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/2JMU37QTZAEU5JDSKH2ZCPFZUU \
  | 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: d2594dfe13c8094ea47251f5913cb9a53d373cc1acb7f78732acd2cf20601399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4755091dc10e01894170668c9f992d95006b17908075418bee5fc5ee7a228af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-20T16:46:27Z",
    "title_canon_sha256": "71102c2f14453799634c2c3d4e89ae3e7dcd662d407f53db0ae9021d04fef3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.10451",
    "kind": "arxiv",
    "version": 1
  }
}