Pith Number

pith:4HREWAKW

pith:2012:4HREWAKWAKCETYFEOAWCA3RMVU

not attested not anchored not stored refs pending

Noncommutative geometry, conformal geometry, and the local equivariant index theorem

Hang Wang, Raphael Ponge

arxiv:1210.2032 v2 · 2012-10-07 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HREWAKWAKCETYFEOAWCA3RMVU}

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	2026-05-18T02:37:43.088449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e24b0156028449e0a4702c206e2cad01cb607e5d81a8ae262b5a01bb8ac03c

Aliases

arxiv: 1210.2032 · arxiv_version: 1210.2032v2 · doi: 10.48550/arxiv.1210.2032 · pith_short_12: 4HREWAKWAKCE · pith_short_16: 4HREWAKWAKCETYFE · pith_short_8: 4HREWAKW

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/4HREWAKWAKCETYFEOAWCA3RMVU \
  | 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: e1e24b0156028449e0a4702c206e2cad01cb607e5d81a8ae262b5a01bb8ac03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f818c86fa8312c01d2084df23040388e4c95f947f43934950594615d3d1e67",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-07T07:08:05Z",
    "title_canon_sha256": "c434dbe4e59be498eed53dc2f342f0a1d281077fcf256a99c4b237083866682b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2032",
    "kind": "arxiv",
    "version": 2
  }
}