Pith Number

pith:MYGB4FRF

pith:2016:MYGB4FRFYY3ZLZEY4P7IVGNUCE

not attested not anchored not stored refs pending

Iwasawa Main Conjecture for Non-Ordinary Modular Forms

Xin Wan

arxiv:1607.07729 v8 · 2016-07-26 · 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{MYGB4FRFYY3ZLZEY4P7IVGNUCE}

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	2026-07-05T04:40:41.243827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660c1e1625c63795e498e3fe8a99b4110bc6f97ca7d5422a217e30a36de7ab50

Aliases

arxiv: 1607.07729 · arxiv_version: 1607.07729v8 · doi: 10.48550/arxiv.1607.07729 · pith_short_12: MYGB4FRFYY3Z · pith_short_16: MYGB4FRFYY3ZLZEY · pith_short_8: MYGB4FRF

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/MYGB4FRFYY3ZLZEY4P7IVGNUCE \
  | 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: 660c1e1625c63795e498e3fe8a99b4110bc6f97ca7d5422a217e30a36de7ab50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9825a08915f49c06987c91042864724c374ffa625bd404b62beb9d8a6ea7a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-26T14:39:53Z",
    "title_canon_sha256": "f66fa5b82f54070fc2042242bb64ff8a405f1e2e81c61c7d34696c9d29eeff54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07729",
    "kind": "arxiv",
    "version": 8
  }
}