Pith Number

pith:TK576IGY

pith:2011:TK576IGYUFE5NIG74KANP3NHXF

not attested not anchored not stored refs pending

An index formula for perturbed Dirac operators on Lie manifolds

Catarina Carvalho, Victor Nistor

arxiv:1112.6058 v1 · 2011-12-28 · math.KT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK576IGYUFE5NIG74KANP3NHXF}

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	2026-05-18T04:05:36.978348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abbff20d8a149d6a0dfe280d7eda7b96afa0a9f1110abf758bdf2c1f5aeb9b9

Aliases

arxiv: 1112.6058 · arxiv_version: 1112.6058v1 · doi: 10.48550/arxiv.1112.6058 · pith_short_12: TK576IGYUFE5 · pith_short_16: TK576IGYUFE5NIG7 · pith_short_8: TK576IGY

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/TK576IGYUFE5NIG74KANP3NHXF \
  | 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: 9abbff20d8a149d6a0dfe280d7eda7b96afa0a9f1110abf758bdf2c1f5aeb9b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67943e1c1559daa2407b2261ec68818a780575038d8833555555a23be990f2af",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-28T04:08:57Z",
    "title_canon_sha256": "3b411f7c4de9a517ca78d49a1abbff1edfdc59757a522648936890c4d513bac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6058",
    "kind": "arxiv",
    "version": 1
  }
}