Pith Number

pith:XABVYTH7

pith:2013:XABVYTH762S7KELYW3JQPFA6Y3

not attested not anchored not stored refs pending

Introduction to Sofic and Hyperlinear groups and Connes' embedding conjecture

Martino Lupini, Valerio Capraro

arxiv:1309.2034 v6 · 2013-09-09 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XABVYTH762S7KELYW3JQPFA6Y3}

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	2026-05-18T02:17:01.524664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8035c4cfff6a5f51178b6d307941ec6f7257dbde3c9bed4e96b68a8c6713ef9

Aliases

arxiv: 1309.2034 · arxiv_version: 1309.2034v6 · doi: 10.48550/arxiv.1309.2034 · pith_short_12: XABVYTH762S7 · pith_short_16: XABVYTH762S7KELY · pith_short_8: XABVYTH7

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/XABVYTH762S7KELYW3JQPFA6Y3 \
  | 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: b8035c4cfff6a5f51178b6d307941ec6f7257dbde3c9bed4e96b68a8c6713ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15230fdb5b99e795120001952b8d109e97914b929474e348b642a75903829329",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-09T03:20:35Z",
    "title_canon_sha256": "cc3a2e0d9980e76d96c5f6522a908aa88dad80c050830732f157b682ecc676b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2034",
    "kind": "arxiv",
    "version": 6
  }
}