Pith Number

pith:V6U3AGZN

pith:2013:V6U3AGZNNXTAHRJ5RIJOUVCUKA

not attested not anchored not stored refs pending

The Noncommutative Infinitesimal Equivariant Index Formula

Yong Wang

arxiv:1307.8189 v3 · 2013-07-31 · 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{V6U3AGZNNXTAHRJ5RIJOUVCUKA}

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	2026-05-18T02:22:30.145646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa9b01b2d6de603c53d8a12ea545450217d02a540640e76aef259262e8e65d0

Aliases

arxiv: 1307.8189 · arxiv_version: 1307.8189v3 · doi: 10.48550/arxiv.1307.8189 · pith_short_12: V6U3AGZNNXTA · pith_short_16: V6U3AGZNNXTAHRJ5 · pith_short_8: V6U3AGZN

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/V6U3AGZNNXTAHRJ5RIJOUVCUKA \
  | 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: afa9b01b2d6de603c53d8a12ea545450217d02a540640e76aef259262e8e65d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b623e47054affff3774f7163367b528d11fa30827e30794baabb7957efb06d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-31T02:03:55Z",
    "title_canon_sha256": "5f2b1bab2f9b875902ce45e184a814ee2e9854c32fe44b030fd640fb5f267d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8189",
    "kind": "arxiv",
    "version": 3
  }
}