Pith Number

pith:HBEYROOP

pith:2004:HBEYROOPK4V7DWLFVRRJ55YZPI

not attested not anchored not stored refs pending

Generators for Arithmetic Groups

Ritumoni Sarma, T.N.Venkataramana

arxiv:math/0409345 v1 · 2004-09-20 · 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{HBEYROOPK4V7DWLFVRRJ55YZPI}

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	2026-05-18T03:32:18.000136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384988b9cf572bf1d965ac629ef7197a129469af173bdd39d4b1b967927c4ea3

Aliases

arxiv: math/0409345 · arxiv_version: math/0409345v1 · doi: 10.48550/arxiv.math/0409345 · pith_short_12: HBEYROOPK4V7 · pith_short_16: HBEYROOPK4V7DWLF · pith_short_8: HBEYROOP

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/HBEYROOPK4V7DWLFVRRJ55YZPI \
  | 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: 384988b9cf572bf1d965ac629ef7197a129469af173bdd39d4b1b967927c4ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc95276aceab3210a3b3e6ffeb64f363fa04ea2b4304d3e7685409a604893113",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-09-20T11:10:54Z",
    "title_canon_sha256": "ec410eb573ad8f3b1231de224de352493627034b175be35d1dffd4be40e1bbb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409345",
    "kind": "arxiv",
    "version": 1
  }
}