Pith Number

pith:HPABTQN6

pith:2015:HPABTQN6JIPDM7IFUT3H24QEBU

not attested not anchored not stored refs pending

On twists of modules over non-commutative Iwasawa algebras

Gergely Z\'abr\'adi, Somnath Jha, Tadashi Ochiai

arxiv:1512.07814 v1 · 2015-12-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPABTQN6JIPDM7IFUT3H24QEBU}

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	2026-05-18T01:12:05.570762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc019c1be4a1e367d05a4f67d72040d3c021e528db1cf2ec9e2d1c83c45149d

Aliases

arxiv: 1512.07814 · arxiv_version: 1512.07814v1 · doi: 10.48550/arxiv.1512.07814 · pith_short_12: HPABTQN6JIPD · pith_short_16: HPABTQN6JIPDM7IF · pith_short_8: HPABTQN6

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/HPABTQN6JIPDM7IFUT3H24QEBU \
  | 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: 3bc019c1be4a1e367d05a4f67d72040d3c021e528db1cf2ec9e2d1c83c45149d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e522987365b235d73a5b5c39e3e072f15a2ad05942a08f1afb5404592c64b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-24T13:50:20Z",
    "title_canon_sha256": "2a6df6a3ca76676f2a5cc203970c77bbea65c87f492f386bb22be7f2d707a927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07814",
    "kind": "arxiv",
    "version": 1
  }
}