Pith Number

pith:2S5D5HSA

pith:2014:2S5D5HSAFUPYIS332YMT3FHDZQ

not attested not anchored not stored refs pending

Iwasawa Main Conjecture for Rankin-Selberg $p$-adic $L$-functions: Non-Ordinary Case

Xin Wan

arxiv:1412.1767 v3 · 2014-12-04 · 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{2S5D5HSAFUPYIS332YMT3FHDZQ}

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	2026-07-05T03:15:24.299177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ba3e9e402d1f844b7bd6193d94e3cc1426a3ba4650985ac8a8faddd82e5d97

Aliases

arxiv: 1412.1767 · arxiv_version: 1412.1767v3 · doi: 10.48550/arxiv.1412.1767 · pith_short_12: 2S5D5HSAFUPY · pith_short_16: 2S5D5HSAFUPYIS33 · pith_short_8: 2S5D5HSA

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/2S5D5HSAFUPYIS332YMT3FHDZQ \
  | 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: d4ba3e9e402d1f844b7bd6193d94e3cc1426a3ba4650985ac8a8faddd82e5d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c210ad2b7aea5ae14396d5194d757d31011b34a42d0677846d399f471479cbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-04T18:55:26Z",
    "title_canon_sha256": "081b56c261cfa99b7b3b77d75454fd6d0fda43197fa9cdc31b50ebd9dad33ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1767",
    "kind": "arxiv",
    "version": 3
  }
}