Pith Number

pith:V3MPB6EZ

pith:2010:V3MPB6EZ2KIDLDW6L3PHMO2AHV

not attested not anchored not stored refs pending

Orbit Equivalence and Measured Group Theory

Damien Gaboriau (UMPA-ENSL)

arxiv:1009.0132 v1 · 2010-09-01 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3MPB6EZ2KIDLDW6L3PHMO2AHV}

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	2026-05-18T04:41:35.451435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed8f0f899d290358ede5ede763b403d48cafa64fb176e08a35fdbaad390a761

Aliases

arxiv: 1009.0132 · arxiv_version: 1009.0132v1 · doi: 10.48550/arxiv.1009.0132 · pith_short_12: V3MPB6EZ2KID · pith_short_16: V3MPB6EZ2KIDLDW6 · pith_short_8: V3MPB6EZ

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/V3MPB6EZ2KIDLDW6L3PHMO2AHV \
  | 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: aed8f0f899d290358ede5ede763b403d48cafa64fb176e08a35fdbaad390a761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0e4a9e58de3d8d82825bc4fb7fa7dcc45bf538ebe4aa9c2c34c66596eac5a3",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-01T09:35:16Z",
    "title_canon_sha256": "995e7eb1d908d152864b73e8d5dd1b447404e266edd0f0019adeb9bbf3ca9ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0132",
    "kind": "arxiv",
    "version": 1
  }
}