Pith Number

pith:IIYEWYRR

pith:2009:IIYEWYRRF366Y5R43D5MX5W4DY

not attested not anchored not stored refs pending

The Atiyah-Patodi-Singer index theorem for Dirac operators over C*-algebras

Charlotte Wahl

arxiv:0901.0381 v2 · 2009-01-04 · math.DG · 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{IIYEWYRRF366Y5R43D5MX5W4DY}

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	2026-05-18T03:56:43.944878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42304b62312efdec763cd8facbf6dc1e2109b0c53faa7b6f499334a89db26564

Aliases

arxiv: 0901.0381 · arxiv_version: 0901.0381v2 · doi: 10.48550/arxiv.0901.0381 · pith_short_12: IIYEWYRRF366 · pith_short_16: IIYEWYRRF366Y5R4 · pith_short_8: IIYEWYRR

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/IIYEWYRRF366Y5R43D5MX5W4DY \
  | 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: 42304b62312efdec763cd8facbf6dc1e2109b0c53faa7b6f499334a89db26564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f15292a7b6f376168a78a24123eea605e2272074c7c3c0ab5007b8754bff87",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-04T14:00:34Z",
    "title_canon_sha256": "b9783e27da5e3475a129ad65f232eb60f64009357bc4c27306bd08cd10a0388f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0381",
    "kind": "arxiv",
    "version": 2
  }
}