Pith Number

pith:AXHIPPJW

pith:2012:AXHIPPJW3CRUXGBFERLFQRL4SK

not attested not anchored not stored refs pending

New C*-completions of discrete groups and related spaces

Erik Guentner, Nathanial P. Brown

arxiv:1205.4649 v1 · 2012-05-21 · math.OA · 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{AXHIPPJW3CRUXGBFERLFQRL4SK}

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	2026-05-18T02:57:53.545644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ce87bd36d8a34b9825245658457c928aec9b9414ba341ce7fecf71808eb4b3

Aliases

arxiv: 1205.4649 · arxiv_version: 1205.4649v1 · doi: 10.48550/arxiv.1205.4649 · pith_short_12: AXHIPPJW3CRU · pith_short_16: AXHIPPJW3CRUXGBF · pith_short_8: AXHIPPJW

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/AXHIPPJW3CRUXGBFERLFQRL4SK \
  | 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: 05ce87bd36d8a34b9825245658457c928aec9b9414ba341ce7fecf71808eb4b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c671f2aaf230f4a5abc16f648400e4c7c71d59ca6d713ac8f30a6a1334a1dd75",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-21T16:23:48Z",
    "title_canon_sha256": "50492a30266ddab65b034a9e9a5c60d99cd2e595ddb358f680d665d10a8d27f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4649",
    "kind": "arxiv",
    "version": 1
  }
}