Pith Number

pith:ZWJF2UHB

pith:2011:ZWJF2UHBJYS7A2CQVTCSYDEYLY

not attested not anchored not stored refs pending

Weighted ergodic theorems for Banach-Kantorovich lattice $L_{p}(\hat{\nabla},\hat{\mu})$

Farrukh Mukhamedov, Inomjon Ganiev

arxiv:1110.1145 v1 · 2011-10-06 · math.FA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWJF2UHBJYS7A2CQVTCSYDEYLY}

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	2026-05-18T03:06:05.748916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd925d50e14e25f06850acc52c0c985e29fef2fcc76d8e8194e1c659af587354

Aliases

arxiv: 1110.1145 · arxiv_version: 1110.1145v1 · doi: 10.48550/arxiv.1110.1145 · pith_short_12: ZWJF2UHBJYS7 · pith_short_16: ZWJF2UHBJYS7A2CQ · pith_short_8: ZWJF2UHB

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/ZWJF2UHBJYS7A2CQVTCSYDEYLY \
  | 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: cd925d50e14e25f06850acc52c0c985e29fef2fcc76d8e8194e1c659af587354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1768148af4ea011d6b75392155431479ce78e0f2856b38982eb090507d4a7b0d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-06T03:30:10Z",
    "title_canon_sha256": "66fb11b917d16d90899c3d8536f9bcfb6cd87a24c9e57920d38db8239b28e019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1145",
    "kind": "arxiv",
    "version": 1
  }
}