Pith Number

pith:VVLC5L6H

pith:2013:VVLC5L6H2T4JA4R5IECCZCY4XD

not attested not anchored not stored refs pending

Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces

E. Ostrovsky, L. Sirota

arxiv:1301.0132 v1 · 2013-01-01 · 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{VVLC5L6H2T4JA4R5IECCZCY4XD}

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	2026-05-18T03:37:28.110992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad562eafc7d4f890723d41042c8b1cb8cf2ba3b3db90de3add5d90c9dea58776

Aliases

arxiv: 1301.0132 · arxiv_version: 1301.0132v1 · doi: 10.48550/arxiv.1301.0132 · pith_short_12: VVLC5L6H2T4J · pith_short_16: VVLC5L6H2T4JA4R5 · pith_short_8: VVLC5L6H

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/VVLC5L6H2T4JA4R5IECCZCY4XD \
  | 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: ad562eafc7d4f890723d41042c8b1cb8cf2ba3b3db90de3add5d90c9dea58776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33fe15b08533f0c100a06d16363f0863699318cbfe80edfd65e95c58eb9def30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-01T20:17:38Z",
    "title_canon_sha256": "eade4d1ca8a69f78eee329a74b9256c1b5b33e39be5d5fad21b96c3f5f4415ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0132",
    "kind": "arxiv",
    "version": 1
  }
}