Pith Number

pith:IEWYECPT

pith:2016:IEWYECPTELXSVLH6BIB37L4DNI

not attested not anchored not stored refs pending

On $\ell$-torsion in class groups of number fields

Jordan Ellenberg, Lillian B. Pierce, Melanie Matchett Wood

arxiv:1606.06103 v2 · 2016-06-20 · 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{IEWYECPTELXSVLH6BIB37L4DNI}

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	2026-05-18T00:20:59.440293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412d8209f322ef2aacfe0a03bfaf836a28e81ea578eb65fd729e2b20d85f2bc7

Aliases

arxiv: 1606.06103 · arxiv_version: 1606.06103v2 · doi: 10.48550/arxiv.1606.06103 · pith_short_12: IEWYECPTELXS · pith_short_16: IEWYECPTELXSVLH6 · pith_short_8: IEWYECPT

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/IEWYECPTELXSVLH6BIB37L4DNI \
  | 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: 412d8209f322ef2aacfe0a03bfaf836a28e81ea578eb65fd729e2b20d85f2bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef07f23f54b2d7d1e41009510537cc28a7a3434920a913caa5a0aedd8d2823b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-20T13:07:27Z",
    "title_canon_sha256": "96b1a4bdb993b77dd080a7146ddcec3fe860d66f5725ba992f240e14d731d616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06103",
    "kind": "arxiv",
    "version": 2
  }
}