Pith Number

pith:CYBGV7JW

pith:2015:CYBGV7JWBKZYHPPIAL5HMKWMFC

not attested not anchored not stored refs pending

Topological entropy in totally disconnected locally compact groups

Anna Giordano Bruno, Simone Virili

arxiv:1507.08469 v2 · 2015-07-30 · math.DS · math.GN · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYBGV7JWBKZYHPPIAL5HMKWMFC}

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	2026-05-18T01:04:01.322408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16026afd360ab383bde802fa762acc28b889069a920748244821eafdb4a4dfcf

Aliases

arxiv: 1507.08469 · arxiv_version: 1507.08469v2 · doi: 10.48550/arxiv.1507.08469 · pith_short_12: CYBGV7JWBKZY · pith_short_16: CYBGV7JWBKZYHPPI · pith_short_8: CYBGV7JW

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/CYBGV7JWBKZYHPPIAL5HMKWMFC \
  | 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: 16026afd360ab383bde802fa762acc28b889069a920748244821eafdb4a4dfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f4e71608156d83272e020d4c90866a9a812073fc287d7cd85c887ff9e7c464",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-30T11:59:14Z",
    "title_canon_sha256": "37d9b6488e46486f7c1a3f21627318209c29f136c3713b0caf07b3402607eccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08469",
    "kind": "arxiv",
    "version": 2
  }
}