Pith Number

pith:6LHUZ4NN

pith:2013:6LHUZ4NN22RQDDIGPT4G6GG2WW

not attested not anchored not stored refs pending

Lipschitz spaces generated by the Sobolev-Poincar\'e inequality and extensions of Sobolev functions

Pavel Shvartsman

arxiv:1310.0795 v1 · 2013-10-02 · 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{6LHUZ4NN22RQDDIGPT4G6GG2WW}

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	2026-05-18T03:11:34.030765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2cf4cf1add6a3018d067cf86f18dab588472ae26434840d268dbea180fdc259

Aliases

arxiv: 1310.0795 · arxiv_version: 1310.0795v1 · doi: 10.48550/arxiv.1310.0795 · pith_short_12: 6LHUZ4NN22RQ · pith_short_16: 6LHUZ4NN22RQDDIG · pith_short_8: 6LHUZ4NN

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/6LHUZ4NN22RQDDIGPT4G6GG2WW \
  | 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: f2cf4cf1add6a3018d067cf86f18dab588472ae26434840d268dbea180fdc259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9813845aba2d38d53fe0f23d828f1cd86c090df74ead10903715ec720efbd17c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-02T18:56:54Z",
    "title_canon_sha256": "1a5f75d19189b40edbf388b08befd7bda5de3a6a276951f4d86c13044b721c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0795",
    "kind": "arxiv",
    "version": 1
  }
}