Pith Number

pith:2OIXQZ44

pith:2017:2OIXQZ446SYLEO66W5HNME6ZAW

not attested not anchored not stored refs pending

On effective Birkhoff's ergodic theorem for computable actions of amenable groups

Nikita Moriakov

arxiv:1701.06365 v1 · 2017-01-23 · 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{2OIXQZ446SYLEO66W5HNME6ZAW}

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	2026-05-18T00:52:18.614766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39178679cf4b0b23bdeb74ed613d905b5bd3ddc4d5dae965ca4cb123320cf62

Aliases

arxiv: 1701.06365 · arxiv_version: 1701.06365v1 · doi: 10.48550/arxiv.1701.06365 · pith_short_12: 2OIXQZ446SYL · pith_short_16: 2OIXQZ446SYLEO66 · pith_short_8: 2OIXQZ44

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/2OIXQZ446SYLEO66W5HNME6ZAW \
  | 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: d39178679cf4b0b23bdeb74ed613d905b5bd3ddc4d5dae965ca4cb123320cf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5421017458b2ec0a7a919cc0a06bbac4e9518a79599309fadaa3544b4d638fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-23T12:58:00Z",
    "title_canon_sha256": "b6490ccfc081e82ac36bfeae92ac7dfc95fedca13341065cb0d02c3a91788d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06365",
    "kind": "arxiv",
    "version": 1
  }
}