Pith Number

pith:BRAXKLCS

pith:2004:BRAXKLCSROSECWFS2DPKNMMEBM

not attested not anchored not stored refs pending

The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow

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

arxiv:math/0411019 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{BRAXKLCSROSECWFS2DPKNMMEBM}

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	2026-07-04T14:39:19.292118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c41752c528ba44158b2d0dea6b1840b045a44db59fe123419536bd5fcf164d4

Aliases

arxiv: math/0411019 · arxiv_version: math/0411019v1 · doi: 10.48550/arxiv.math/0411019 · pith_short_12: BRAXKLCSROSE · pith_short_16: BRAXKLCSROSECWFS · pith_short_8: BRAXKLCS

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/BRAXKLCSROSECWFS2DPKNMMEBM \
  | 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: 0c41752c528ba44158b2d0dea6b1840b045a44db59fe123419536bd5fcf164d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d37a49e5ae440842408f2a4950e222a701da63f3c40c59ab10ff1689b3620d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-11-01T01:18:15Z",
    "title_canon_sha256": "f28f488209d7a815f6e3fa4a85410a8c45be458713593221beb92568bdd2c149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411019",
    "kind": "arxiv",
    "version": 1
  }
}