Pith Number

pith:4W6W36U7

pith:2015:4W6W36U7P43C2XBX6QRV6BZZEG

not attested not anchored not stored refs pending

The cyclotomic Iwasawa main conjecture for Hilbert cuspforms with complex multiplication

Tadashi Ochiai, Takashi Hara

arxiv:1507.07309 v3 · 2015-07-27 · 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{4W6W36U7P43C2XBX6QRV6BZZEG}

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	2026-05-18T00:19:47.938403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bd6dfa9f7f362d5c37f4235f073921936744af1755d73b12af2d306c7a3b50

Aliases

arxiv: 1507.07309 · arxiv_version: 1507.07309v3 · doi: 10.48550/arxiv.1507.07309 · pith_short_12: 4W6W36U7P43C · pith_short_16: 4W6W36U7P43C2XBX · pith_short_8: 4W6W36U7

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/4W6W36U7P43C2XBX6QRV6BZZEG \
  | 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: e5bd6dfa9f7f362d5c37f4235f073921936744af1755d73b12af2d306c7a3b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e508a0d4f39315ac1c90492dc57c77b8b2ce5f87ce7abc009f74e5475378c1e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-27T06:20:59Z",
    "title_canon_sha256": "a295af51bc76c7291f6deb37048774845f360532365ac4412f24f262b1ffd01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07309",
    "kind": "arxiv",
    "version": 3
  }
}