Pith Number

pith:LA3XWI3H

pith:2011:LA3XWI3H4LN2JM4YXVMGYPKTQD

not attested not anchored not stored refs pending

Universally measurable subgroups of countable index

Christian Rosendal

arxiv:1104.3343 v1 · 2011-04-17 · 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{LA3XWI3H4LN2JM4YXVMGYPKTQD}

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	2026-05-18T04:24:05.273072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58377b2367e2dba4b398bd586c3d5380d142ec6f8ee2ab411e0ffa3097daf7f2

Aliases

arxiv: 1104.3343 · arxiv_version: 1104.3343v1 · doi: 10.48550/arxiv.1104.3343 · pith_short_12: LA3XWI3H4LN2 · pith_short_16: LA3XWI3H4LN2JM4Y · pith_short_8: LA3XWI3H

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/LA3XWI3H4LN2JM4YXVMGYPKTQD \
  | 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: 58377b2367e2dba4b398bd586c3d5380d142ec6f8ee2ab411e0ffa3097daf7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62a56f653fdbd8a7169d473a14f4062f19ebba9c176537ba9b5109921d25619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-04-17T20:03:49Z",
    "title_canon_sha256": "5cb4dd35cdd74211234573aff2c9770e14d7d113fd6c5b86ed5378e9e7640eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3343",
    "kind": "arxiv",
    "version": 1
  }
}