Pith Number

pith:GWFP5L7T

pith:2022:GWFP5L7TBPJX6WR362SYBYJEF7

not attested not anchored not stored refs pending

An anticyclotomic Euler system for adjoint modular Galois representations

Francesc Castella, \'Oscar Rivero, Ra\'ul Alonso

arxiv:2204.07658 v2 · 2022-04-15 · 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{GWFP5L7TBPJX6WR362SYBYJEF7}

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 diagonal classes and Beilinson--Flach elements

Receipt and verification

First computed	2026-07-05T06:11:00.134669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

358afeaff30bd37f5a3bf6a580e1242fe0aad0225714a098a5f7fdeed5289e11

Aliases

arxiv: 2204.07658 · arxiv_version: 2204.07658v2 · doi: 10.48550/arxiv.2204.07658 · pith_short_12: GWFP5L7TBPJX · pith_short_16: GWFP5L7TBPJX6WR3 · pith_short_8: GWFP5L7T

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/GWFP5L7TBPJX6WR362SYBYJEF7 \
  | 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: 358afeaff30bd37f5a3bf6a580e1242fe0aad0225714a098a5f7fdeed5289e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d840b3919201988e9de4c795e19cd920c5ec30b761da6b83728f9c407bb2fe1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-15T21:59:42Z",
    "title_canon_sha256": "37da6d6acf76bc69c66e5ecc1357b76bf9ff20b0f91c6c9475a9de4959a3ddbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07658",
    "kind": "arxiv",
    "version": 2
  }
}