Pith Number

pith:TXF6SPX2

pith:2004:TXF6SPX262QNTVCQRTQ5CRAGLF

not attested not anchored not stored refs pending

The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case

Adam Rennie, Alan L. Carey, Fyodor A. Sukochev, John Phillips

arxiv:math/0411021 v1 · 2004-11-01 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXF6SPX262QNTVCQRTQ5CRAGLF}

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	2026-07-04T14:39:19.316354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcbe93efaf6a0d9d4508ce1d14406595f88a5738707990f68223659ee37db96

Aliases

arxiv: math/0411021 · arxiv_version: math/0411021v1 · doi: 10.48550/arxiv.math/0411021 · pith_short_12: TXF6SPX262QN · pith_short_16: TXF6SPX262QNTVCQ · pith_short_8: TXF6SPX2

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/TXF6SPX262QNTVCQRTQ5CRAGLF \
  | 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: 9dcbe93efaf6a0d9d4508ce1d14406595f88a5738707990f68223659ee37db96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b1faf86c6ed58721c2317d4c4c25c84c79e94b12aa96998689c63a21503ac9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-11-01T01:29:33Z",
    "title_canon_sha256": "3190867d29f1ea0df63d96a99522cd564e35eb17c9ebdb301f34758df1cc1b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411021",
    "kind": "arxiv",
    "version": 1
  }
}