Pith Number

pith:4AHFY55F

pith:2014:4AHFY55F6ZQ6TXDCOFAWRYN656

not attested not anchored not stored refs pending

An Analytic Grothendieck Riemann Roch Theorem

Guoliang Yu, Ronald G. Douglas, Xiang Tang

arxiv:1404.4396 v2 · 2014-04-16 · math.OA · math.CV · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AHFY55F6ZQ6TXDCOFAWRYN656}

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	2026-05-18T02:50:51.446153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00e5c77a5f661e9dc62714168e1beefb6bc6347032af31c45081426cde0557a

Aliases

arxiv: 1404.4396 · arxiv_version: 1404.4396v2 · doi: 10.48550/arxiv.1404.4396 · pith_short_12: 4AHFY55F6ZQ6 · pith_short_16: 4AHFY55F6ZQ6TXDC · pith_short_8: 4AHFY55F

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/4AHFY55F6ZQ6TXDCOFAWRYN656 \
  | 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: e00e5c77a5f661e9dc62714168e1beefb6bc6347032af31c45081426cde0557a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd4d56bfaf4c387018d5b561ae1507afff4958db32afd41d62146e90b87cd7e",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-04-16T21:59:57Z",
    "title_canon_sha256": "f7157388e71a684e9f2e5a5db8612f9f21f690f57a5472377a45394d0655569a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4396",
    "kind": "arxiv",
    "version": 2
  }
}