Pith Number

pith:MH5RY7VP

pith:2013:MH5RY7VPQ32YJC4DR2PLPKHQM6

not attested not anchored not stored refs pending

The (S,{2})-Iwasawa theory

Min-Soo Kim, Su Hu

arxiv:1310.4257 v5 · 2013-10-16 · 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{MH5RY7VPQ32YJC4DR2PLPKHQM6}

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	2026-05-18T01:35:40.522804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61fb1c7eaf86f5848b838e9eb7a8f0678ab546fb7771d0916e17429a489f62a8

Aliases

arxiv: 1310.4257 · arxiv_version: 1310.4257v5 · doi: 10.48550/arxiv.1310.4257 · pith_short_12: MH5RY7VPQ32Y · pith_short_16: MH5RY7VPQ32YJC4D · pith_short_8: MH5RY7VP

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/MH5RY7VPQ32YJC4DR2PLPKHQM6 \
  | 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: 61fb1c7eaf86f5848b838e9eb7a8f0678ab546fb7771d0916e17429a489f62a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713be82d2898368d5461356fcddfe152379ec693d6cbe213098fc669801c3284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-16T03:43:01Z",
    "title_canon_sha256": "26aac418b8b25daaa523489b087530288071e4ffd57ade56b8c9eff618cd7244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4257",
    "kind": "arxiv",
    "version": 5
  }
}