Pith Number

pith:762KEDMT

pith:2008:762KEDMTIN6Q2UG27AK5NPUSL2

not attested not anchored not stored refs pending

Divergence in lattices in semisimple Lie groups and graphs of groups

Cornelia Drutu, Mark Sapir, Shahar Mozes

arxiv:0801.4141 v7 · 2008-01-27 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{762KEDMTIN6Q2UG27AK5NPUSL2}

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	2026-05-18T00:42:33.811481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb4a20d93437d0d50daf815d6be925ebdd1463477b536667d5b5daf15dba03e

Aliases

arxiv: 0801.4141 · arxiv_version: 0801.4141v7 · doi: 10.48550/arxiv.0801.4141 · pith_short_12: 762KEDMTIN6Q · pith_short_16: 762KEDMTIN6Q2UG2 · pith_short_8: 762KEDMT

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/762KEDMTIN6Q2UG27AK5NPUSL2 \
  | 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: ffb4a20d93437d0d50daf815d6be925ebdd1463477b536667d5b5daf15dba03e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d1da31c13c3540665d2a00b78fa227ebbd18735a16e1d822e5aa4fabad99a66",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-01-27T16:06:08Z",
    "title_canon_sha256": "8ad71725292c8d0c708bbc6c45a7709ac52fcdeabee2b51c02021f8721387fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4141",
    "kind": "arxiv",
    "version": 7
  }
}