Pith Number

pith:SYBLRWQE

pith:2015:SYBLRWQEJIPDMCUASQFLHTTN5M

not attested not anchored not stored refs pending

Furstenberg entropy values for nonsingular actions of groups without property (T)

Alexandre I. Danilenko

arxiv:1512.05139 v1 · 2015-12-16 · 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{SYBLRWQEJIPDMCUASQFLHTTN5M}

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	2026-05-18T01:24:13.398886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9602b8da044a1e360a80940ab3ce6deb19e480f90198faaf3570b766139216d7

Aliases

arxiv: 1512.05139 · arxiv_version: 1512.05139v1 · doi: 10.48550/arxiv.1512.05139 · pith_short_12: SYBLRWQEJIPD · pith_short_16: SYBLRWQEJIPDMCUA · pith_short_8: SYBLRWQE

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/SYBLRWQEJIPDMCUASQFLHTTN5M \
  | 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: 9602b8da044a1e360a80940ab3ce6deb19e480f90198faaf3570b766139216d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524ab3789f850091e5a6730c75a13f813032b18e0933719740767c80f644593b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-16T11:46:39Z",
    "title_canon_sha256": "819fcd60749092e9f3d69e8363ba79defb6fc61b1d9697939cf34293a42bccad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05139",
    "kind": "arxiv",
    "version": 1
  }
}