Pith Number

pith:6DWX43MK

pith:2009:6DWX43MKKETLTAQD2RZMSHRWBI

not attested not anchored not stored refs pending

Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields

Akshay Venkatesh, Craig Westerland, Jordan S. Ellenberg

arxiv:0912.0325 v4 · 2009-12-02 · math.NT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DWX43MKKETLTAQD2RZMSHRWBI}

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	2026-05-18T01:25:31.088849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ed7e6d8a5126b98203d472c91e360a3f2bb7f6f197298a3e591f237367616b

Aliases

arxiv: 0912.0325 · arxiv_version: 0912.0325v4 · doi: 10.48550/arxiv.0912.0325 · pith_short_12: 6DWX43MKKETL · pith_short_16: 6DWX43MKKETLTAQD · pith_short_8: 6DWX43MK

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/6DWX43MKKETLTAQD2RZMSHRWBI \
  | 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: f0ed7e6d8a5126b98203d472c91e360a3f2bb7f6f197298a3e591f237367616b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "962a6bf274c80bc8d4395dc26ff00ee3d17ede9f8c9534c82244d878a3d1f63f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-02T18:56:55Z",
    "title_canon_sha256": "3585ee4d6638b37b2121c9f27550744de10f634766207212c5ce3d1c90841644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0325",
    "kind": "arxiv",
    "version": 4
  }
}