Pith Number

pith:JTSK7LZO

pith:2013:JTSK7LZOOK7AJJGDJPN4KOSR37

not attested not anchored not stored refs pending

Ergodic theorems for $L_1$--$L_\infty$ contractions in Banach--Kantorovich $L_p$-lattices

I. G. Ganiev, V. I. Chilin

arxiv:1306.3827 v1 · 2013-06-17 · 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{JTSK7LZOOK7AJJGDJPN4KOSR37}

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	2026-05-18T03:20:46.283016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce4afaf2e72be04a4c34bdbc53a51dfe0a9864e9ea72eb89a71db781ebbb997

Aliases

arxiv: 1306.3827 · arxiv_version: 1306.3827v1 · doi: 10.48550/arxiv.1306.3827 · pith_short_12: JTSK7LZOOK7A · pith_short_16: JTSK7LZOOK7AJJGD · pith_short_8: JTSK7LZO

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/JTSK7LZOOK7AJJGDJPN4KOSR37 \
  | 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: 4ce4afaf2e72be04a4c34bdbc53a51dfe0a9864e9ea72eb89a71db781ebbb997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44756cfd2c1b97d9b16ee07b3328ed6d010cf4b5ad1bb310c2303877fd4b2689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-17T12:06:00Z",
    "title_canon_sha256": "1efe145330a86812a6352da09df571bf766965899c42aca4ebf3e87139941157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3827",
    "kind": "arxiv",
    "version": 1
  }
}