Pith Number

pith:MU7CXYHQ

pith:2016:MU7CXYHQ6L56EPFMYVK75GHD4Y

not attested not anchored not stored refs pending

On the isomorphism of tensor powers of ergodic flows

Valery V. Ryzhikov

arxiv:1610.10093 v4 · 2016-10-31 · 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{MU7CXYHQ6L56EPFMYVK75GHD4Y}

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	2026-05-18T00:54:42.651222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653e2be0f0f2fbe23cacc555fe98e3e63f2d3a2d9ee24f1389c5716c3c55099f

Aliases

arxiv: 1610.10093 · arxiv_version: 1610.10093v4 · doi: 10.48550/arxiv.1610.10093 · pith_short_12: MU7CXYHQ6L56 · pith_short_16: MU7CXYHQ6L56EPFM · pith_short_8: MU7CXYHQ

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/MU7CXYHQ6L56EPFMYVK75GHD4Y \
  | 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: 653e2be0f0f2fbe23cacc555fe98e3e63f2d3a2d9ee24f1389c5716c3c55099f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac3c26bfdb79f629a75c9507dbc94e70a90a3f1914a713a7c3c2fc8809de384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-31T19:51:53Z",
    "title_canon_sha256": "6cb25ce9ffbb0082796bdad431d6d304dc83b90ed4db5530f1421552fa5f6f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10093",
    "kind": "arxiv",
    "version": 4
  }
}