Pith Number

pith:YSPCLQX5

pith:2019:YSPCLQX5B3XORKUNPOZCJTHJ4E

not attested not anchored not stored refs pending

Infinite class field towers of number fields of prime power discriminant

Christian Maire, Farshid Hajir, Ravi Ramakrishna

arxiv:1904.07062 v1 · 2019-04-15 · 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{YSPCLQX5B3XORKUNPOZCJTHJ4E}

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	2026-05-17T23:48:35.382603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49e25c2fd0eeee8aa8d7bb224cce9e107ebb88dd65455db4508494636c19f39

Aliases

arxiv: 1904.07062 · arxiv_version: 1904.07062v1 · doi: 10.48550/arxiv.1904.07062 · pith_short_12: YSPCLQX5B3XO · pith_short_16: YSPCLQX5B3XORKUN · pith_short_8: YSPCLQX5

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/YSPCLQX5B3XORKUNPOZCJTHJ4E \
  | 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: c49e25c2fd0eeee8aa8d7bb224cce9e107ebb88dd65455db4508494636c19f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6886060bf261a9e3c5c8401defd0bdfd28bfcefbd3c0cfd977fa46b12a06ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-15T14:14:27Z",
    "title_canon_sha256": "dffc26c3962941fe15dcc5d8b43d9cd6d1a67fbcb9d2be6b0fc5609fad09d058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07062",
    "kind": "arxiv",
    "version": 1
  }
}