Pith Number

pith:P5XSFEFP

pith:2019:P5XSFEFPPU43T7MBQHFREXDQQI

not attested not anchored not stored refs pending

Algebraic entropy for amenable semigroup actions

Anna Giordano Bruno, Antongiulio Fornasiero, Dikran Dikranjan

arxiv:1908.01983 v1 · 2019-08-06 · math.GR · 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{P5XSFEFPPU43T7MBQHFREXDQQI}

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	2026-07-05T03:33:36.624290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6f2290af7d39b9fd8181cb125c70821cc6c78a3d77fb8c939ad25c698cb7ec

Aliases

arxiv: 1908.01983 · arxiv_version: 1908.01983v1 · doi: 10.48550/arxiv.1908.01983 · pith_short_12: P5XSFEFPPU43 · pith_short_16: P5XSFEFPPU43T7MB · pith_short_8: P5XSFEFP

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/P5XSFEFPPU43T7MBQHFREXDQQI \
  | 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: 7f6f2290af7d39b9fd8181cb125c70821cc6c78a3d77fb8c939ad25c698cb7ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b854cb73cad7d9bb0cb92cc3d7271482904647a51c138947636ece36a60fd95d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-06T06:56:07Z",
    "title_canon_sha256": "be8eb6ce23a17ab3a5c29c2cc82762d54a723a632be0add2601b4a0473c824e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01983",
    "kind": "arxiv",
    "version": 1
  }
}