Pith Number

pith:SNB5EZN6

pith:2016:SNB5EZN6DNF3JWZTXJLSVHFDAJ

not attested not anchored not stored refs pending

Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms

Antonio Lei, Kazim B\"uy\"ukboduk

arxiv:1602.07508 v3 · 2016-02-24 · 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{SNB5EZN6DNF3JWZTXJLSVHFDAJ}

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	2026-05-18T00:41:08.274943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9343d265be1b4bb4db33ba572a9ca30246f73dd8e277a1e591ad855a49fd98bc

Aliases

arxiv: 1602.07508 · arxiv_version: 1602.07508v3 · doi: 10.48550/arxiv.1602.07508 · pith_short_12: SNB5EZN6DNF3 · pith_short_16: SNB5EZN6DNF3JWZT · pith_short_8: SNB5EZN6

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/SNB5EZN6DNF3JWZTXJLSVHFDAJ \
  | 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: 9343d265be1b4bb4db33ba572a9ca30246f73dd8e277a1e591ad855a49fd98bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2ead3558a9ea7550df9688b68ae15560d3dca516bbb16e9bfca6cd36cd0b71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-24T13:55:43Z",
    "title_canon_sha256": "ac0e00abc710128d550901bea14ec10101d8ea4500807a685d75a3a075a5f1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07508",
    "kind": "arxiv",
    "version": 3
  }
}