Pith Number

pith:V7ZLHIMU

pith:2012:V7ZLHIMUZ45AOFVDDU5YMTLHRY

not attested not anchored not stored refs pending

Type II_1 factors satisfying the spatial isomorphism conjecture

Alan D. Wiggins, Allan M. Sinclair, Erik Christensen, Jan Cameron, Roger R. Smith, Stuart White

arxiv:1211.6963 v1 · 2012-11-29 · 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{V7ZLHIMUZ45AOFVDDU5YMTLHRY}

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	2026-05-18T03:17:24.712780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff2b3a194cf3a0716a31d3b864d678e24698dbdd4acfd5a0577e3105b11855e

Aliases

arxiv: 1211.6963 · arxiv_version: 1211.6963v1 · doi: 10.48550/arxiv.1211.6963 · pith_short_12: V7ZLHIMUZ45A · pith_short_16: V7ZLHIMUZ45AOFVD · pith_short_8: V7ZLHIMU

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/V7ZLHIMUZ45AOFVDDU5YMTLHRY \
  | 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: aff2b3a194cf3a0716a31d3b864d678e24698dbdd4acfd5a0577e3105b11855e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ca6d54f5c870f9fb5ef2e4b0dc02067d45d07c82e2d1d185321ce328388854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-29T16:04:17Z",
    "title_canon_sha256": "d940d2c6d68c8c020427474bab73895c3a4867d8cf8fdce113dfe4f8d7d4db44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6963",
    "kind": "arxiv",
    "version": 1
  }
}