Pith Number

pith:O326DSJR

pith:2018:O326DSJR43BS37PCWYKERNGXJ3

not attested not anchored not stored refs pending

The Riemann-Roch strategy, Complex lift of the Scaling Site

Alain Connes, Caterina Consani

arxiv:1805.10501 v1 · 2018-05-26 · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O326DSJR43BS37PCWYKERNGXJ3}

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	2026-05-18T00:14:52.332164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f5e1c931e6c32dfde2b61448b4d74edfce57fb23f7304c4367e20813f367be

Aliases

arxiv: 1805.10501 · arxiv_version: 1805.10501v1 · doi: 10.48550/arxiv.1805.10501 · pith_short_12: O326DSJR43BS · pith_short_16: O326DSJR43BS37PC · pith_short_8: O326DSJR

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/O326DSJR43BS37PCWYKERNGXJ3 \
  | 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: 76f5e1c931e6c32dfde2b61448b4d74edfce57fb23f7304c4367e20813f367be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c686a95b477fc63a3be57e3b9259d64a57220fc7aa966c8e162069fdacaa2f0",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-26T15:53:59Z",
    "title_canon_sha256": "a81b56fba5d46f5acc2e6a4bd904975e42d8a17c68b44d495c5d3b49ad949365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10501",
    "kind": "arxiv",
    "version": 1
  }
}