Pith Number

pith:TLU55V2Y

pith:2013:TLU55V2YW6ACHHVT5RZKWSLR4Q

not attested not anchored not stored refs pending

Regularity of $p(\cdot)$-superharmonic functions, the Kellogg property and semiregular boundary points

Anders Bj\"orn, Jana Bj\"orn, Tomasz Adamowicz

arxiv:1302.0233 v1 · 2013-02-01 · 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{TLU55V2YW6ACHHVT5RZKWSLR4Q}

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	2026-05-18T02:31:02.532539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae9ded758b780239eb3ec72ab4971e41dad1f48e3ff9071725b52415d7b11b1

Aliases

arxiv: 1302.0233 · arxiv_version: 1302.0233v1 · doi: 10.48550/arxiv.1302.0233 · pith_short_12: TLU55V2YW6AC · pith_short_16: TLU55V2YW6ACHHVT · pith_short_8: TLU55V2Y

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/TLU55V2YW6ACHHVT5RZKWSLR4Q \
  | 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: 9ae9ded758b780239eb3ec72ab4971e41dad1f48e3ff9071725b52415d7b11b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb36d3219890c81db6156991025f1443cd7cf59fd22103f9475f79582c8a957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-01T17:59:38Z",
    "title_canon_sha256": "d90dd9e4c81be155b2a46cdde0f11add1822d8a382de363c3f4c8251f812f32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0233",
    "kind": "arxiv",
    "version": 1
  }
}