Pith Number

pith:PFPOH3WX

pith:2019:PFPOH3WXB3N2QZG5NBE2MFAPGZ

not attested not anchored not stored refs pending

Ergodic theorems in Banach ideals of compact operators

Aziz Azizov, Semyon Litvinov, Vladimir Chilin

arxiv:1902.00759 v2 · 2019-02-02 · 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{PFPOH3WXB3N2QZG5NBE2MFAPGZ}

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	2026-05-17T23:52:14.749220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

795ee3eed70edba864dd6849a6140f3651d9f2e72a743c868ca43c70b22768e9

Aliases

arxiv: 1902.00759 · arxiv_version: 1902.00759v2 · doi: 10.48550/arxiv.1902.00759 · pith_short_12: PFPOH3WXB3N2 · pith_short_16: PFPOH3WXB3N2QZG5 · pith_short_8: PFPOH3WX

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/PFPOH3WXB3N2QZG5NBE2MFAPGZ \
  | 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: 795ee3eed70edba864dd6849a6140f3651d9f2e72a743c868ca43c70b22768e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3662c457677716c66fcf13df1af75bc1a82a0f68ca97969382af058e7689bcee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-02T18:13:34Z",
    "title_canon_sha256": "9e24ef3982fdbca22c00c52a312632e7cd52fb0cc216e29fe4e675468a7e1ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00759",
    "kind": "arxiv",
    "version": 2
  }
}