Pith Number

pith:6WFEQRRH

pith:2024:6WFEQRRHOYZFVNFHXJU3UWZCKT

not attested not anchored not stored refs pending

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals

Lorenzo Furio

arxiv:2412.10340 v4 · 2024-12-13 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WFEQRRHOYZFVNFHXJU3UWZCKT}

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	2026-06-08T01:04:59.786213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58a48462776325ab4a7ba69ba5b2254dc13424f611495fddb586a48707ed663

Aliases

arxiv: 2412.10340 · arxiv_version: 2412.10340v4 · doi: 10.48550/arxiv.2412.10340 · pith_short_12: 6WFEQRRHOYZF · pith_short_16: 6WFEQRRHOYZFVNFH · pith_short_8: 6WFEQRRH

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/6WFEQRRHOYZFVNFHXJU3UWZCKT \
  | 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: f58a48462776325ab4a7ba69ba5b2254dc13424f611495fddb586a48707ed663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "894cea634c33a5e2eeb33dd5aae2c4bd835dd8d55debdd9f2118ac93cba4a1bf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-13T18:37:45Z",
    "title_canon_sha256": "e6813a693ed554109ce35b749d01c7418d9b64074bfbefaa4538b0ab9ea4c186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10340",
    "kind": "arxiv",
    "version": 4
  }
}