Pith Number

pith:FQARKJGG

pith:2005:FQARKJGGOUZESAJA7HQZK5FM4B

not attested not anchored not stored refs pending

The Strong Approximation Conjecture holds for amenable groups

Gabor Elek

arxiv:math/0511655 v1 · 2005-11-27 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQARKJGGOUZESAJA7HQZK5FM4B}

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	2026-05-18T01:05:22.875950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c011524c67532490120f9e19574ace07087bcf7b24f7a9602f6f34fd10db0a7

Aliases

arxiv: math/0511655 · arxiv_version: math/0511655v1 · doi: 10.48550/arxiv.math/0511655 · pith_short_12: FQARKJGGOUZE · pith_short_16: FQARKJGGOUZESAJA · pith_short_8: FQARKJGG

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/FQARKJGGOUZESAJA7HQZK5FM4B \
  | 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: 2c011524c67532490120f9e19574ace07087bcf7b24f7a9602f6f34fd10db0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398e053994e7044905f67a2fdcf46db91a868c5ee9b12928a45fb82e6b804ed4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-11-27T16:41:03Z",
    "title_canon_sha256": "703b07252a0ee2a1f2607f04448b282f19b9ee117cc5df6615f89cf0497aa7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511655",
    "kind": "arxiv",
    "version": 1
  }
}