Pith Number

pith:4AXFZNCL

pith:2021:4AXFZNCLWNG6GIWRAM5LPMVRZO

not attested not anchored not stored refs pending

The Iwasawa Main Conjecture for universal families of modular motives

Olivier Fouquet, Xin Wan

arxiv:2107.13726 v3 · 2021-07-29 · 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{4AXFZNCLWNG6GIWRAM5LPMVRZO}

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.

Cited by

1 paper in Pith

Anticyclotomic Iwasawa theory of abelian varieties of $\mathrm{GL}_2$-type at non-ordinary primes II

Receipt and verification

First computed	2026-07-05T04:12:50.147864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02e5cb44bb34de322d1033ab7b2b1cbaa1c95c2d802ef246988ace7f6863c76

Aliases

arxiv: 2107.13726 · arxiv_version: 2107.13726v3 · doi: 10.48550/arxiv.2107.13726 · pith_short_12: 4AXFZNCLWNG6 · pith_short_16: 4AXFZNCLWNG6GIWR · pith_short_8: 4AXFZNCL

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/4AXFZNCLWNG6GIWRAM5LPMVRZO \
  | 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: e02e5cb44bb34de322d1033ab7b2b1cbaa1c95c2d802ef246988ace7f6863c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf8fee2c51d638dd57d5ff5603adc45f3b0c7bbc0995c3a172dec6a1d39245f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-29T03:27:41Z",
    "title_canon_sha256": "dc32f5d37207cd361a830abb9ebd36462c378f861b35aae5936d11388f0495bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13726",
    "kind": "arxiv",
    "version": 3
  }
}