Pith Number

pith:MTZACEF7

pith:2013:MTZACEF74LDS4TWDCCQXUDKNHH

not attested not anchored not stored refs pending

Th\'eorie de la mesure dans les lieux r\'eguliers. ou : Les intersections cach\'ees dans le paradoxe de Banach-Tarski

Olivier Leroy

arxiv:1303.5631 v1 · 2013-03-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTZACEF74LDS4TWDCCQXUDKNHH}

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	2026-05-18T03:30:03.655740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f20110bfe2c72e4ec310a17a0d4d39dd67fc09f0e162d79208b3db8cbce0aa

Aliases

arxiv: 1303.5631 · arxiv_version: 1303.5631v1 · doi: 10.48550/arxiv.1303.5631 · pith_short_12: MTZACEF74LDS · pith_short_16: MTZACEF74LDS4TWD · pith_short_8: MTZACEF7

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/MTZACEF74LDS4TWDCCQXUDKNHH \
  | 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: 64f20110bfe2c72e4ec310a17a0d4d39dd67fc09f0e162d79208b3db8cbce0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c566b0abd757d1c6e6f0a2a044e77089d4fa9b6a40474f00ce367ebdc01d33b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-03-22T14:47:17Z",
    "title_canon_sha256": "f58be4ed28a7f5dcdad89d156e526a0174ef85192de1d246394bea4a8e8dfdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5631",
    "kind": "arxiv",
    "version": 1
  }
}