Pith Number

pith:HJV6RXUA

pith:2020:HJV6RXUAPIHXZICVWAC7TJQTOK

not attested not anchored not stored refs pending

A topological zero-one law and elementary equivalence of finitely generated groups

D. Osin

arxiv:2004.07479 v6 · 2020-04-16 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJV6RXUAPIHXZICVWAC7TJQTOK}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T05:00:25.717575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6be8de807a0f7ca055b005f9a61372af49b923fb4c60046abcfb92fb64869e

Aliases

arxiv: 2004.07479 · arxiv_version: 2004.07479v6 · doi: 10.48550/arxiv.2004.07479 · pith_short_12: HJV6RXUAPIHX · pith_short_16: HJV6RXUAPIHXZICV · pith_short_8: HJV6RXUA

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/HJV6RXUAPIHXZICVWAC7TJQTOK \
  | 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: 3a6be8de807a0f7ca055b005f9a61372af49b923fb4c60046abcfb92fb64869e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb723b07698a4b5addec240bf37aee8a60ab92322387c04229c3d3dd1b109569",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-04-16T06:32:54Z",
    "title_canon_sha256": "523ecb8d8711530e03e7098f34818a77d12c38ff439e42f5783664be133abce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.07479",
    "kind": "arxiv",
    "version": 6
  }
}