Pith Number

pith:ZJEDKCAL

pith:2013:ZJEDKCALXYNUYAZKQGFAO4Y5SP

not attested not anchored not stored refs pending

On S3-extensions with infinite class field tower

Jonah Leshin

arxiv:1308.1572 v2 · 2013-08-07 · 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{ZJEDKCALXYNUYAZKQGFAO4Y5SP}

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	2026-05-18T03:16:18.642790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4835080bbe1b4c032a818a07731d93cf4e1cd96554a85d4a61fa28c9b4c660

Aliases

arxiv: 1308.1572 · arxiv_version: 1308.1572v2 · doi: 10.48550/arxiv.1308.1572 · pith_short_12: ZJEDKCALXYNU · pith_short_16: ZJEDKCALXYNUYAZK · pith_short_8: ZJEDKCAL

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/ZJEDKCALXYNUYAZKQGFAO4Y5SP \
  | 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: ca4835080bbe1b4c032a818a07731d93cf4e1cd96554a85d4a61fa28c9b4c660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51bbecb651aec2539a7ff51787a0fe849b260714c85f29f27710fe525d10b6b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-07T13:55:39Z",
    "title_canon_sha256": "dbb903135e558b47aa02d5bf6bf07814f4b9330c8018dcfede8370f1ca7f0e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1572",
    "kind": "arxiv",
    "version": 2
  }
}