Pith Number

pith:D7NHRCUY

pith:2012:D7NHRCUY2N47DMSA7WXYH6EY6F

not attested not anchored not stored refs pending

Fractional integration operators of variable order: continuity and compactness properties

Mikhail Lifshits, Werner Linde

arxiv:1211.3826 v1 · 2012-11-16 · 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{D7NHRCUY2N47DMSA7WXYH6EY6F}

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	2026-05-18T02:26:39.535170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fda788a98d379f1b240fdaf83f898f161b37ee9543c596bf5b7b5e0ed45fa79

Aliases

arxiv: 1211.3826 · arxiv_version: 1211.3826v1 · doi: 10.48550/arxiv.1211.3826 · pith_short_12: D7NHRCUY2N47 · pith_short_16: D7NHRCUY2N47DMSA · pith_short_8: D7NHRCUY

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/D7NHRCUY2N47DMSA7WXYH6EY6F \
  | 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: 1fda788a98d379f1b240fdaf83f898f161b37ee9543c596bf5b7b5e0ed45fa79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e2495ebf8c862306c77a7ddd079f8aa1cf8fa96db1a4c30e16ba7aa3608e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-16T08:34:25Z",
    "title_canon_sha256": "9e1404e2e928c870464fc82749806f7c611901b7cf0bd76a884e1cf01a045c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3826",
    "kind": "arxiv",
    "version": 1
  }
}