Pith Number

pith:J37IY4DJ

pith:2012:J37IY4DJ5N2TRVWH77Y5UESU6D

not attested not anchored not stored refs pending

Poincar\'e Inequality and Hajlasz-Sobolev spaces on nested fractals

Andrzej Stos, Katarzyna Pietruska-Pa{\l}uba

arxiv:1201.3493 v1 · 2012-01-17 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J37IY4DJ5N2TRVWH77Y5UESU6D}

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	2026-05-18T04:04:29.093090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efe8c7069eb7538d6c7fff1da1254f0c0a1f783266f476919e46148e999d1a0

Aliases

arxiv: 1201.3493 · arxiv_version: 1201.3493v1 · doi: 10.48550/arxiv.1201.3493 · pith_short_12: J37IY4DJ5N2T · pith_short_16: J37IY4DJ5N2TRVWH · pith_short_8: J37IY4DJ

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/J37IY4DJ5N2TRVWH77Y5UESU6D \
  | 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: 4efe8c7069eb7538d6c7fff1da1254f0c0a1f783266f476919e46148e999d1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fd66c09b9e96252d42e771989d154fb1ab90c20d63544167ac9ba3fdb90974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-17T12:16:42Z",
    "title_canon_sha256": "35c90f097205496fa7eb1ba568631bc64a1ee8900c2c5fde1100bbb3bd4c563c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3493",
    "kind": "arxiv",
    "version": 1
  }
}