Pith Number

pith:2UWVTTKK

pith:2016:2UWVTTKKDLDAWUXG6JK7OHBU7J

not attested not anchored not stored refs pending

The equivariant Riemann-Roch theorem and the graded Todd class

Michele Vergne

arxiv:1612.04651 v1 · 2016-12-14 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UWVTTKKDLDAWUXG6JK7OHBU7J}

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	2026-05-18T00:54:58.939745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52d59cd4a1ac60b52e6f255f71c34fa4c7754eea4ed19f2531ae8e4cc0d74bc

Aliases

arxiv: 1612.04651 · arxiv_version: 1612.04651v1 · doi: 10.48550/arxiv.1612.04651 · pith_short_12: 2UWVTTKKDLDA · pith_short_16: 2UWVTTKKDLDAWUXG · pith_short_8: 2UWVTTKK

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/2UWVTTKKDLDAWUXG6JK7OHBU7J \
  | 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: d52d59cd4a1ac60b52e6f255f71c34fa4c7754eea4ed19f2531ae8e4cc0d74bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e770d9c71365ddd4b9135f49106f41324e0203748fee2ea898395750ab4b920b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-14T14:18:46Z",
    "title_canon_sha256": "d12b5c286b065eeacf0fd00c978dc08c9f631b7d538826b6bed2bdbae3c8748a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04651",
    "kind": "arxiv",
    "version": 1
  }
}