Pith Number

pith:BUMS2RTI

pith:2007:BUMS2RTI2ZRDXRTWQBIZ7O33H2

not attested not anchored not stored refs pending

Arithmeticity of totally geodesic Lie foliations with locally symmetric leaves

Raul Quiroga-Barranco

arxiv:math/0701233 v1 · 2007-01-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUMS2RTI2ZRDXRTWQBIZ7O33H2}

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	2026-05-18T04:04:53.694325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d192d4668d6623bc67680519fbb7b3e9d3e174a2aeae80bc9730a843e891b2c

Aliases

arxiv: math/0701233 · arxiv_version: math/0701233v1 · doi: 10.48550/arxiv.math/0701233 · pith_short_12: BUMS2RTI2ZRD · pith_short_16: BUMS2RTI2ZRDXRTW · pith_short_8: BUMS2RTI

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/BUMS2RTI2ZRDXRTWQBIZ7O33H2 \
  | 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: 0d192d4668d6623bc67680519fbb7b3e9d3e174a2aeae80bc9730a843e891b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a50da6884a289b5c233b94a3099cabb8260618c9b5736827ac9a7675a801261",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-01-08T17:58:05Z",
    "title_canon_sha256": "fc27f705a7de315f46d8de87aaef4c9327a50981da67387024cb83d785f1ac49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701233",
    "kind": "arxiv",
    "version": 1
  }
}