Pith Number

pith:VMRKX5UD

pith:2013:VMRKX5UDF5S4MG7OSOFZBQ43S5

not attested not anchored not stored refs pending

The Farrell-Jones conjecture for S-arithmetic groups

Henrik Rueping

arxiv:1309.7236 v1 · 2013-09-27 · math.KT · 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{VMRKX5UDF5S4MG7OSOFZBQ43S5}

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	2026-05-18T00:44:29.456580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab22abf6832f65c61bee938b90c39b974a3af0813b1b75ff2e0487ae501642a1

Aliases

arxiv: 1309.7236 · arxiv_version: 1309.7236v1 · doi: 10.48550/arxiv.1309.7236 · pith_short_12: VMRKX5UDF5S4 · pith_short_16: VMRKX5UDF5S4MG7O · pith_short_8: VMRKX5UD

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/VMRKX5UDF5S4MG7OSOFZBQ43S5 \
  | 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: ab22abf6832f65c61bee938b90c39b974a3af0813b1b75ff2e0487ae501642a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfacbbab2f6d93368c4b1cb2454275c8de9e9bbf3b4bdc8faa861f884f325f25",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-09-27T13:39:50Z",
    "title_canon_sha256": "c5063563aae2df408efd77ddda72cb5e67411ac97390d7c2fd92cb50f6ab8c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7236",
    "kind": "arxiv",
    "version": 1
  }
}