Pith Number

pith:PCEHTT4K

pith:2025:PCEHTT4KTQUO4DRHCLFNX63TQP

not attested not anchored not stored refs pending

Anticyclotomic diagonal classes and Beilinson--Flach elements

Lois Omil-Pazos, \'Oscar Rivero, Ra\'ul Alonso

arxiv:2509.07564 v1 · 2025-09-09 · 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{PCEHTT4KTQUO4DRHCLFNX63TQP}

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	2026-07-05T12:07:23.902402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788879cf8a9c28ee0e2712cadbfb7383fa14480b6bcb4699fa4735ab44d38c9b

Aliases

arxiv: 2509.07564 · arxiv_version: 2509.07564v1 · doi: 10.48550/arxiv.2509.07564 · pith_short_12: PCEHTT4KTQUO · pith_short_16: PCEHTT4KTQUO4DRH · pith_short_8: PCEHTT4K

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/PCEHTT4KTQUO4DRHCLFNX63TQP \
  | 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: 788879cf8a9c28ee0e2712cadbfb7383fa14480b6bcb4699fa4735ab44d38c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1393aebe420df26e6c6b301a1060a4afee06fc10524e885fe3523a099226d106",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-09T10:04:37Z",
    "title_canon_sha256": "698657bd29e08b948415257fb0c825802a9bfe85f2d829af79dbf9c841ec79f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07564",
    "kind": "arxiv",
    "version": 1
  }
}