Pith Number

pith:5VNWPB73

pith:2012:5VNWPB73UGPPHLHEE6N4ZX77CG

not attested not anchored not stored refs pending

Weak equivalence and non-classifiability of measure preserving actions

Robin D. Tucker-Drob

arxiv:1202.3101 v2 · 2012-02-14 · math.DS · 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{5VNWPB73UGPPHLHEE6N4ZX77CG}

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	2026-05-18T03:58:26.067868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5b6787fba19ef3ace4279bccdfff1194912184adbe9d3c2e475e442f9f0b76

Aliases

arxiv: 1202.3101 · arxiv_version: 1202.3101v2 · doi: 10.48550/arxiv.1202.3101 · pith_short_12: 5VNWPB73UGPP · pith_short_16: 5VNWPB73UGPPHLHE · pith_short_8: 5VNWPB73

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/5VNWPB73UGPPHLHEE6N4ZX77CG \
  | 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: ed5b6787fba19ef3ace4279bccdfff1194912184adbe9d3c2e475e442f9f0b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f59a9095bbe64c81d5ac58de04dd1bf5f9f8932e32b6f0ee404efc91474f46e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-14T17:44:17Z",
    "title_canon_sha256": "9011e3790b0ad54feffb7559fd52493960a9ced09ad881c9640958b7eb3f49ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3101",
    "kind": "arxiv",
    "version": 2
  }
}