Pith Number

pith:NZVMM2BY

pith:2012:NZVMM2BYMSQ3AUOPOCQFVKEHRH

not attested not anchored not stored refs pending

Formal equivariant $\hat A$ class, splines and multiplicities of the index of transversally elliptic operators

Mich\`ele Vergne

arxiv:1211.5547 v3 · 2012-11-23 · 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{NZVMM2BYMSQ3AUOPOCQFVKEHRH}

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	2026-05-18T01:21:05.673004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6ac6683864a1b051cf70a05aa88789e5e76149a139658f7146ca8f520c48a4

Aliases

arxiv: 1211.5547 · arxiv_version: 1211.5547v3 · doi: 10.48550/arxiv.1211.5547 · pith_short_12: NZVMM2BYMSQ3 · pith_short_16: NZVMM2BYMSQ3AUOP · pith_short_8: NZVMM2BY

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/NZVMM2BYMSQ3AUOPOCQFVKEHRH \
  | 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: 6e6ac6683864a1b051cf70a05aa88789e5e76149a139658f7146ca8f520c48a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fadeef35d9bba16719bb2885deb697cec48593c3405e52aa684fd45b5562883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-23T16:44:10Z",
    "title_canon_sha256": "074d1e27c36a911728121e4ac13591053158988d0b7e7c5bfa861d0aded7cee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5547",
    "kind": "arxiv",
    "version": 3
  }
}