Pith Number

pith:BQOZD2Z6

pith:2011:BQOZD2Z6KE2S6W7F4L6KRJVC25

not attested not anchored not stored refs pending

Connected components of definable groups and o-minimality I

Anand Pillay, Annalisa Conversano

arxiv:1101.5705 v1 · 2011-01-29 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQOZD2Z6KE2S6W7F4L6KRJVC25}

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	2026-05-18T04:30:25.009584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1d91eb3e51352f5be5e2fca8a6a2d75479c28237c027a4706382634b63885f

Aliases

arxiv: 1101.5705 · arxiv_version: 1101.5705v1 · doi: 10.48550/arxiv.1101.5705 · pith_short_12: BQOZD2Z6KE2S · pith_short_16: BQOZD2Z6KE2S6W7F · pith_short_8: BQOZD2Z6

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/BQOZD2Z6KE2S6W7F4L6KRJVC25 \
  | 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: 0c1d91eb3e51352f5be5e2fca8a6a2d75479c28237c027a4706382634b63885f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a94d96c03f495860e000daeb9bc6ebf408c58e916e78dec837653f74ee1b59",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-01-29T16:14:35Z",
    "title_canon_sha256": "e88279a3f63cff51eb8f425f9b806997ead1fc69ceb905c1d2cc26cd4f9ec2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5705",
    "kind": "arxiv",
    "version": 1
  }
}