Pith Number

pith:XKD3SQXM

pith:2020:XKD3SQXMC2EOEQCNDTXJKWA6QS

not attested not anchored not stored refs pending

Identifying measures on non-abelian groups and modules by their moments via reduction to a local problem

Will Sawin

arxiv:2006.04934 v3 · 2020-06-08 · math.NT · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKD3SQXMC2EOEQCNDTXJKWA6QS}

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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.

Cited by

1 paper in Pith

The imaginary case of the nonabelian Cohen--Lenstra heuristics

Receipt and verification

First computed	2026-07-05T05:28:58.421803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba87b942ec1688e2404d1cee95581e848244adaa84db24d3c30856504ca0b787

Aliases

arxiv: 2006.04934 · arxiv_version: 2006.04934v3 · doi: 10.48550/arxiv.2006.04934 · pith_short_12: XKD3SQXMC2EO · pith_short_16: XKD3SQXMC2EOEQCN · pith_short_8: XKD3SQXM

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/XKD3SQXMC2EOEQCNDTXJKWA6QS \
  | 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: ba87b942ec1688e2404d1cee95581e848244adaa84db24d3c30856504ca0b787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094a261200c225c2841f6d84f3b6d1d19b4d5b36d91a1c733249c0b1d64a4d2f",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-08T21:04:08Z",
    "title_canon_sha256": "9c508df1e582bb7a902bb7dc4b1ee5b1f9da78bd55b8dabf00e17ab5f72d8312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.04934",
    "kind": "arxiv",
    "version": 3
  }
}