Pith Number

pith:PI27QNZO

pith:2006:PI27QNZOEN6DJ2G4J3B233MFDG

not attested not anchored not stored refs pending

On the noncommutative spectral flow

Charlotte Wahl

arxiv:math/0602110 v4 · 2006-02-07 · math.OA · math.FA · 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{PI27QNZOEN6DJ2G4J3B233MFDG}

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.

Cited by

1 paper in Pith

Analytic index theory and spectral flow in real Hilbert $C^*$-modules

Receipt and verification

First computed	2026-07-04T15:03:10.056206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a35f8372e237c34e8dc4ec3aded8519a32a296ff11fa5e77b792681b97f4499

Aliases

arxiv: math/0602110 · arxiv_version: math/0602110v4 · doi: 10.48550/arxiv.math/0602110 · pith_short_12: PI27QNZOEN6D · pith_short_16: PI27QNZOEN6DJ2G4 · pith_short_8: PI27QNZO

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/PI27QNZOEN6DJ2G4J3B233MFDG \
  | 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: 7a35f8372e237c34e8dc4ec3aded8519a32a296ff11fa5e77b792681b97f4499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301684cccd95a97ed21c8c86172debf7c4ae89c4d5c739307943612658f86c18",
    "cross_cats_sorted": [
      "math.FA",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-02-07T17:48:48Z",
    "title_canon_sha256": "f8e9e771e51d1aef091cb37e1289ca557ce1c99d55713bb79a6242d3e96c8d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602110",
    "kind": "arxiv",
    "version": 4
  }
}