Pith Number

pith:AK6RBRSB

pith:2010:AK6RBRSBW4ORG633E2RBKPCXHY

not attested not anchored not stored refs pending

Quantifying residual finiteness of arithmetic groups

Khalid Bou-Rabee, Tasho Kaletha

arxiv:1008.3579 v1 · 2010-08-20 · 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{AK6RBRSBW4ORG633E2RBKPCXHY}

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	2026-05-17T23:53:36.916410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bd10c641b71d137b7b26a2153c573e0b22de9b10efd77add02cffdfc5bc0ac

Aliases

arxiv: 1008.3579 · arxiv_version: 1008.3579v1 · doi: 10.48550/arxiv.1008.3579 · pith_short_12: AK6RBRSBW4OR · pith_short_16: AK6RBRSBW4ORG633 · pith_short_8: AK6RBRSB

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/AK6RBRSBW4ORG633E2RBKPCXHY \
  | 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: 02bd10c641b71d137b7b26a2153c573e0b22de9b10efd77add02cffdfc5bc0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93a569a0a40671a753ac80f57f5b78e9b7d81b76328f70ca363d9401c6ed0a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-20T21:15:10Z",
    "title_canon_sha256": "482c69a0cfe3a9dd3ee825a2798341e676286d57df6838774e50f3246a3e6eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3579",
    "kind": "arxiv",
    "version": 1
  }
}