Pith Number

pith:R5GSIJVH

pith:2016:R5GSIJVH6SMQMBXE6Q2H4KSF4C

not attested not anchored not stored refs pending

Individual ergodic theorems in noncommutative symmetric spaces

Semyon Litvinov, Vladimir Chilin

arxiv:1604.00851 v1 · 2016-04-01 · math.OA · 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{R5GSIJVH6SMQMBXE6Q2H4KSF4C}

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	2026-05-18T01:17:48.014276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4d2426a7f4990606e4f4347e2a45e081e88c099f0c6e212ef804201ca018dd

Aliases

arxiv: 1604.00851 · arxiv_version: 1604.00851v1 · doi: 10.48550/arxiv.1604.00851 · pith_short_12: R5GSIJVH6SMQ · pith_short_16: R5GSIJVH6SMQMBXE · pith_short_8: R5GSIJVH

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/R5GSIJVH6SMQMBXE6Q2H4KSF4C \
  | 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: 8f4d2426a7f4990606e4f4347e2a45e081e88c099f0c6e212ef804201ca018dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9952f3379ed962e3831f31c6e2c426cdbe4eda96486cffb4b27bd1277adca90b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-04-01T19:27:29Z",
    "title_canon_sha256": "90cf0515ff289dc2b81ec0ee8a0c852e430b8471cbb1123ce1a6b9ad600c3fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00851",
    "kind": "arxiv",
    "version": 1
  }
}