Pith Number

pith:WPCSD2YK

pith:2011:WPCSD2YKUZCSL5ENJ5XHDH5GUJ

not attested not anchored not stored refs pending

Removable Sets for H\"older Continuous p(x)-Harmonic Functions

A. Lyaghfouri

arxiv:1101.0418 v1 · 2011-01-02 · 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{WPCSD2YKUZCSL5ENJ5XHDH5GUJ}

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	2026-05-18T04:32:10.401904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c521eb0aa64525f48d4f6e719fa6a245fc97188af14cad86854ddd39733eba

Aliases

arxiv: 1101.0418 · arxiv_version: 1101.0418v1 · doi: 10.48550/arxiv.1101.0418 · pith_short_12: WPCSD2YKUZCS · pith_short_16: WPCSD2YKUZCSL5EN · pith_short_8: WPCSD2YK

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/WPCSD2YKUZCSL5ENJ5XHDH5GUJ \
  | 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: b3c521eb0aa64525f48d4f6e719fa6a245fc97188af14cad86854ddd39733eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7dc30dee790f1831171749f8935ce2dc9ccc5fad8af0447c4a1bae7bae144d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-02T17:32:40Z",
    "title_canon_sha256": "ec0061cafbd46b847a66e389154e1a198d89cf316ab49f0c75040dd3dd74cc7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0418",
    "kind": "arxiv",
    "version": 1
  }
}