Pith Number

pith:SMUXOJVB

pith:2012:SMUXOJVB4I5NJSHMUTZ3N6DTPH

not attested not anchored not stored refs pending

On Local Rank, Joinings and Asymptotic Properties of Measure-Preserving Actions

V. V. Ryzhikov

arxiv:1205.7081 v1 · 2012-05-31 · 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{SMUXOJVB4I5NJSHMUTZ3N6DTPH}

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	2026-05-18T03:54:27.989426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93297726a1e23ad4c8eca4f3b6f87379e397ba270cb2adbf8f1c37399a373a48

Aliases

arxiv: 1205.7081 · arxiv_version: 1205.7081v1 · doi: 10.48550/arxiv.1205.7081 · pith_short_12: SMUXOJVB4I5N · pith_short_16: SMUXOJVB4I5NJSHM · pith_short_8: SMUXOJVB

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/SMUXOJVB4I5NJSHMUTZ3N6DTPH \
  | 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: 93297726a1e23ad4c8eca4f3b6f87379e397ba270cb2adbf8f1c37399a373a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a3f735cd3312b73d7bed7024e15aeb95f3d10ce63489a517252baf26d3e7d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-31T19:31:26Z",
    "title_canon_sha256": "87894d3b23607c0c2357670f01b28ccb8cd1dd956261501f98b4639069d6a57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7081",
    "kind": "arxiv",
    "version": 1
  }
}