Pith Number

pith:R4NOXAVY

pith:2013:R4NOXAVYNDOXOUEY5ZJ3PAFRZ4

not attested not anchored not stored refs pending

On the Congruence Subgroup Problem for integral group rings

\'Angel del R\'io, Mauricio Caicedo

arxiv:1309.0974 v1 · 2013-09-04 · 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{R4NOXAVYNDOXOUEY5ZJ3PAFRZ4}

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	2026-05-18T03:14:09.447686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1aeb82b868dd775098ee53b780b1cf361fef085c483d4fd3beb81cfffdf920

Aliases

arxiv: 1309.0974 · arxiv_version: 1309.0974v1 · doi: 10.48550/arxiv.1309.0974 · pith_short_12: R4NOXAVYNDOX · pith_short_16: R4NOXAVYNDOXOUEY · pith_short_8: R4NOXAVY

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/R4NOXAVYNDOXOUEY5ZJ3PAFRZ4 \
  | 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: 8f1aeb82b868dd775098ee53b780b1cf361fef085c483d4fd3beb81cfffdf920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08dfc277c1dc76725d4ad26d6183c09bc0669012c048991ba95d990ad4edb7c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-04T10:55:13Z",
    "title_canon_sha256": "925e48cf2699705cb2a809675b809d18ff3bdd21a292f21233a9d82f205d4852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0974",
    "kind": "arxiv",
    "version": 1
  }
}