Pith Number

pith:RS3SJO4N

pith:2010:RS3SJO4NBHQUGOHYCJSAUIGA57

not attested not anchored not stored refs pending

Profinite completions and Kazhdan's property (T)

Menny Aka

arxiv:1005.4566 v3 · 2010-05-25 · 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{RS3SJO4NBHQUGOHYCJSAUIGA57}

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	2026-05-18T04:17:04.561925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb724bb8d09e14338f812640a20c0efe4d5dbfe51f7b4624b69dd1981ac07c0

Aliases

arxiv: 1005.4566 · arxiv_version: 1005.4566v3 · doi: 10.48550/arxiv.1005.4566 · pith_short_12: RS3SJO4NBHQU · pith_short_16: RS3SJO4NBHQUGOHY · pith_short_8: RS3SJO4N

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/RS3SJO4NBHQUGOHYCJSAUIGA57 \
  | 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: 8cb724bb8d09e14338f812640a20c0efe4d5dbfe51f7b4624b69dd1981ac07c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3907a9c7c2ba75c0b78b24bd1c70891043e90b7a39db91d7ebe6e856b13873",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-25T13:21:31Z",
    "title_canon_sha256": "3fa38d80e7e755e2ec2b22de28edc09f6a6133a639d52bc1ab23187ad96ab95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4566",
    "kind": "arxiv",
    "version": 3
  }
}