Pith Number

pith:5QO3GC4I

pith:2019:5QO3GC4IJMUTHXGII5GLPPO6ER

not attested not anchored not stored refs pending

Homology of Hurwitz spaces and the Cohen--Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland)

Oscar Randal-Williams

arxiv:1906.07447 v1 · 2019-06-18 · 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{5QO3GC4IJMUTHXGII5GLPPO6ER}

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	2026-05-17T23:43:07.865158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1db30b884b2933dcc8474cb7bdde245bce3da885572ab3195ae2ad46002da6

Aliases

arxiv: 1906.07447 · arxiv_version: 1906.07447v1 · doi: 10.48550/arxiv.1906.07447 · pith_short_12: 5QO3GC4IJMUT · pith_short_16: 5QO3GC4IJMUTHXGI · pith_short_8: 5QO3GC4I

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/5QO3GC4IJMUTHXGII5GLPPO6ER \
  | 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: ec1db30b884b2933dcc8474cb7bdde245bce3da885572ab3195ae2ad46002da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf2e87e8a4f68507ea9366892bda5a1ae7f33513452d122bc261902a9345e9a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-18T08:55:05Z",
    "title_canon_sha256": "122cd3b423e2f98954bd5a4ddcd6aba253e88b94ea666fb2f9419a0f136604ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07447",
    "kind": "arxiv",
    "version": 1
  }
}