Pith Number

pith:YCSE6FQ2

pith:2021:YCSE6FQ2LXUXLPEBW36PT7WCLY

not attested not anchored not stored refs pending

The diagonal cycle Euler system for ${\rm GL}_2\times{\rm GL}_2$

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

arxiv:2106.05322 v3 · 2021-06-09 · 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{YCSE6FQ2LXUXLPEBW36PT7WCLY}

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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	2026-07-05T06:10:59.198298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a44f161a5de975bc81b6fcf9fec25e3cd6933f7f36ad9f0e6a86034616484b

Aliases

arxiv: 2106.05322 · arxiv_version: 2106.05322v3 · doi: 10.48550/arxiv.2106.05322 · pith_short_12: YCSE6FQ2LXUX · pith_short_16: YCSE6FQ2LXUXLPEB · pith_short_8: YCSE6FQ2

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/YCSE6FQ2LXUXLPEBW36PT7WCLY \
  | 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: c0a44f161a5de975bc81b6fcf9fec25e3cd6933f7f36ad9f0e6a86034616484b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ed43ba96bf3136254a048a83a6ce6ce3eee2b3aa17030430182c5aff1b21c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-06-09T18:27:13Z",
    "title_canon_sha256": "13b70fcfa1c1df645590e74d3a39605056ee5419619a8effebb78e1445e3fede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05322",
    "kind": "arxiv",
    "version": 3
  }
}