Pith Number

pith:WNVFXCLN

pith:2008:WNVFXCLNUPGETFNXULXFF64GEE

not attested not anchored not stored refs pending

The Radial Masa in a Free Group Factor is Maximal Injective

Jan Cameron, Junsheng Fang, Mohan Ravichandran, Stuart White

arxiv:0810.3906 v2 · 2008-10-21 · 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{WNVFXCLNUPGETFNXULXFF64GEE}

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	2026-05-18T04:31:51.279215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36a5b896da3cc4995b7a2ee52fb86210c803bd3b815d9dd288c2c507729ece0

Aliases

arxiv: 0810.3906 · arxiv_version: 0810.3906v2 · doi: 10.48550/arxiv.0810.3906 · pith_short_12: WNVFXCLNUPGE · pith_short_16: WNVFXCLNUPGETFNX · pith_short_8: WNVFXCLN

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/WNVFXCLNUPGETFNXULXFF64GEE \
  | 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: b36a5b896da3cc4995b7a2ee52fb86210c803bd3b815d9dd288c2c507729ece0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f139679d22ff86e1f417357195e10d0ffb1a6bdb33176ba2793cd8863604436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-10-21T19:28:03Z",
    "title_canon_sha256": "64179579bb595ee3339b6e962a456ca2870be25a95fefc350960dd33e5e4edfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3906",
    "kind": "arxiv",
    "version": 2
  }
}