Pith Number

pith:6XMCLBTL

pith:2024:6XMCLBTLFDCPCUJIS7XHTWL7FL

not attested not anchored not stored refs pending

Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)

David Loeffler, Giada Grossi, Sarah Livia Zerbes

arxiv:2407.17055 v2 · 2024-07-24 · 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{6XMCLBTLFDCPCUJIS7XHTWL7FL}

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

The Asai--Flach Euler system in $p$-adic families

Receipt and verification

First computed	2026-07-05T10:15:18.439270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d825866b28c4f1512897ee79d97f2ad2f1643419292b1fa1aad4a8cea3834e

Aliases

arxiv: 2407.17055 · arxiv_version: 2407.17055v2 · doi: 10.48550/arxiv.2407.17055 · pith_short_12: 6XMCLBTLFDCP · pith_short_16: 6XMCLBTLFDCPCUJI · pith_short_8: 6XMCLBTL

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/6XMCLBTLFDCPCUJIS7XHTWL7FL \
  | 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: f5d825866b28c4f1512897ee79d97f2ad2f1643419292b1fa1aad4a8cea3834e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345bba84a8c1a3e51219437292944a2c065f136bfaf628959a847182717afaf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-24T07:32:29Z",
    "title_canon_sha256": "86c43e282cb8faa7171e20b032ef09fd876ace0089bfadc57aa20e92f3fa01a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17055",
    "kind": "arxiv",
    "version": 2
  }
}