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Pith Number

pith:T7QPIIYX

pith:2014:T7QPIIYXWVARZJKJK7BZLWQYBJ
not attested not anchored not stored refs pending

On planar Sobolev $L^m_p$-extension domains

Nahum Zobin, Pavel Shvartsman

arxiv:1410.3100 v2 · 2014-10-12 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T7QPIIYXWVARZJKJK7BZLWQYBJ}

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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 2026-05-18T01:36:31.390582Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9fe0f42317b5411ca54957c395da180a417b0006b02c814e03cc95c59e37299c

Aliases

arxiv: 1410.3100 · arxiv_version: 1410.3100v2 · doi: 10.48550/arxiv.1410.3100 · pith_short_12: T7QPIIYXWVAR · pith_short_16: T7QPIIYXWVARZJKJ · pith_short_8: T7QPIIYX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7QPIIYXWVARZJKJK7BZLWQYBJ \
  | 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: 9fe0f42317b5411ca54957c395da180a417b0006b02c814e03cc95c59e37299c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "252935f2b5afabd0eaaf0099dca6b1cdd34295e66428cda352a75c2523243732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-12T15:22:36Z",
    "title_canon_sha256": "2339b58403e4b425045f1517be122f58e09c487a19e3e1743bbcad371a67d666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3100",
    "kind": "arxiv",
    "version": 2
  }
}