Pith Number

pith:I7D5Y5C6

pith:2014:I7D5Y5C665TU6VHPXJDJG5MAWV

not attested not anchored not stored refs pending

Algebraic entropy of amenable group actions

Simone Virili

arxiv:1410.8306 v2 · 2014-10-30 · math.RA · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7D5Y5C665TU6VHPXJDJG5MAWV}

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	2026-05-18T00:32:21.837252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c7dc745ef7674f54efba46937580b55b3a9fbe7e9cb89c26bced42f07f38b7

Aliases

arxiv: 1410.8306 · arxiv_version: 1410.8306v2 · doi: 10.48550/arxiv.1410.8306 · pith_short_12: I7D5Y5C665TU · pith_short_16: I7D5Y5C665TU6VHP · pith_short_8: I7D5Y5C6

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/I7D5Y5C665TU6VHPXJDJG5MAWV \
  | 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: 47c7dc745ef7674f54efba46937580b55b3a9fbe7e9cb89c26bced42f07f38b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc25c2fceb2518a76eb7df55c0456e5b09fab8e430395ad5d700f48a5a2b2e2",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-10-30T10:11:19Z",
    "title_canon_sha256": "bf33b88607b2108e2f6416c414d8ee58a1f18e1227eeaa9a9fea9e7b55e97c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8306",
    "kind": "arxiv",
    "version": 2
  }
}