Pith Number

pith:PGYLR6C6

pith:2018:PGYLR6C6YKHBDLDQDVQES7CIHO

not attested not anchored not stored refs pending

Iwasawa Main Conjecture for $p$-adic families of elliptic modular cuspforms

Tadashi Ochiai

arxiv:1802.06427 v3 · 2018-02-18 · 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{PGYLR6C6YKHBDLDQDVQES7CIHO}

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	2026-05-17T23:52:08.018922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b0b8f85ec28e11ac701d60497c483ba82254edb86658d7550b60732930c5f1

Aliases

arxiv: 1802.06427 · arxiv_version: 1802.06427v3 · doi: 10.48550/arxiv.1802.06427 · pith_short_12: PGYLR6C6YKHB · pith_short_16: PGYLR6C6YKHBDLDQ · pith_short_8: PGYLR6C6

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/PGYLR6C6YKHBDLDQDVQES7CIHO \
  | 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: 79b0b8f85ec28e11ac701d60497c483ba82254edb86658d7550b60732930c5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74690b6da6826460f940a2c53d78b3faa99929ad7807b4b79872257b7e3dd48c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-18T19:15:36Z",
    "title_canon_sha256": "cf7e9df0cedc9ee941556f8b133ad356df99c10f8585ca98928dea4c48ce9a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06427",
    "kind": "arxiv",
    "version": 3
  }
}