Pith Number

pith:6CHLRKWV

pith:2019:6CHLRKWVDWD6TSWEXPIRZ6FYJP

not attested not anchored not stored refs pending

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation

Xin Wan

arxiv:1908.07205 v3 · 2019-08-20 · 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{6CHLRKWVDWD6TSWEXPIRZ6FYJP}

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	2026-07-05T00:12:53.227899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08eb8aad51d87e9cac4bbd11cf8b84bf38ee89ed23826d4289633c827e2b6e6

Aliases

arxiv: 1908.07205 · arxiv_version: 1908.07205v3 · doi: 10.48550/arxiv.1908.07205 · pith_short_12: 6CHLRKWVDWD6 · pith_short_16: 6CHLRKWVDWD6TSWE · pith_short_8: 6CHLRKWV

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/6CHLRKWVDWD6TSWEXPIRZ6FYJP \
  | 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: f08eb8aad51d87e9cac4bbd11cf8b84bf38ee89ed23826d4289633c827e2b6e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c789d3a886610975ab9f67fc5d29ac4762e8833c5b4fb8c40a99c2679d5b18dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-20T07:53:51Z",
    "title_canon_sha256": "5280cc1f232fe0d5a6469ec2c2ffe611b7cce21922cb967c52f9c79fe00eb86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07205",
    "kind": "arxiv",
    "version": 3
  }
}