Pith Number

pith:CV63KFXT

pith:2010:CV63KFXTJYYMOCTERKE4YZ6FD4

not attested not anchored not stored refs pending

Exactness of the reduction on \'etale modules

Gergely Z\'abr\'adi

arxiv:1006.5808 v2 · 2010-06-30 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CV63KFXTJYYMOCTERKE4YZ6FD4}

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	2026-05-18T04:28:20.214761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157db516f34e30c70a648a89cc67c51f12ec2158494cb6edf18e54286507c107

Aliases

arxiv: 1006.5808 · arxiv_version: 1006.5808v2 · doi: 10.48550/arxiv.1006.5808 · pith_short_12: CV63KFXTJYYM · pith_short_16: CV63KFXTJYYMOCTE · pith_short_8: CV63KFXT

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/CV63KFXTJYYMOCTERKE4YZ6FD4 \
  | 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: 157db516f34e30c70a648a89cc67c51f12ec2158494cb6edf18e54286507c107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b72d0b4d406f460cf45eea791c5e52e5d398b6b9e98c2cbf6249bb00c3ba2b8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-06-30T08:55:46Z",
    "title_canon_sha256": "3da48c725c0847115040725cb1c2a2a473b43804558a1fe1cf3eb66621b8bb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5808",
    "kind": "arxiv",
    "version": 2
  }
}