Pith Number

pith:VMICFVYV

pith:2011:VMICFVYVUIYCXMGTK4F5XJBOPD

not attested not anchored not stored refs pending

Generic representations of abelian groups and extreme amenability

Julien Melleray (ICJ), Todor Tsankov (ELM)

arxiv:1107.1698 v2 · 2011-07-08 · math.LO · 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{VMICFVYVUIYCXMGTK4F5XJBOPD}

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	2026-05-18T02:59:48.640419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1022d715a2302bb0d3570bdba42e78e2bdfc4edd3ab3859f48efd948aa8f4a

Aliases

arxiv: 1107.1698 · arxiv_version: 1107.1698v2 · doi: 10.48550/arxiv.1107.1698 · pith_short_12: VMICFVYVUIYC · pith_short_16: VMICFVYVUIYCXMGT · pith_short_8: VMICFVYV

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/VMICFVYVUIYCXMGTK4F5XJBOPD \
  | 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: ab1022d715a2302bb0d3570bdba42e78e2bdfc4edd3ab3859f48efd948aa8f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cdc7806f323cb2644004b16b3a4ff5bb823138487a2a26f9646b3b815575968",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-08T18:56:22Z",
    "title_canon_sha256": "76fcf810756ad1f3f7e5862f2fdb4d612ec47a970fb3649e4c3537df9a9ac219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1698",
    "kind": "arxiv",
    "version": 2
  }
}