Pith Number

pith:IKQLCA5R

pith:2015:IKQLCA5RZXSWZYGCTFQCEGR2SN

not attested not anchored not stored refs pending

On Modules over Infinite Group Rings

Boris Goldfarb, Gunnar Carlsson

arxiv:1509.02402 v1 · 2015-09-08 · 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{IKQLCA5RZXSWZYGCTFQCEGR2SN}

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	2026-05-18T01:11:38.692442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a0b103b1cde56ce0c29960221a3a9378e2d8ecc7f915f48b3337a848763945

Aliases

arxiv: 1509.02402 · arxiv_version: 1509.02402v1 · doi: 10.48550/arxiv.1509.02402 · pith_short_12: IKQLCA5RZXSW · pith_short_16: IKQLCA5RZXSWZYGC · pith_short_8: IKQLCA5R

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/IKQLCA5RZXSWZYGCTFQCEGR2SN \
  | 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: 42a0b103b1cde56ce0c29960221a3a9378e2d8ecc7f915f48b3337a848763945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fde5f0a50e78b038ab8c42f62b56aaaca76dfb8591a2e705ca086cd3ff8ebcb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-09-08T15:06:04Z",
    "title_canon_sha256": "0a12b51cf4499b002e1c86a945d78f75539248ad6af100fcb316360a1561c319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02402",
    "kind": "arxiv",
    "version": 1
  }
}