Pith Number

pith:6DBXQYSU

pith:2015:6DBXQYSUV6MS63SVXANLDLAPEU

not attested not anchored not stored refs pending

Reduction of Galois Representations of slope 1

Eknath Ghate, Sandra Rozensztajn, Shalini Bhattacharya

arxiv:1504.03838 v4 · 2015-04-15 · 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{6DBXQYSUV6MS63SVXANLDLAPEU}

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	2026-05-18T00:15:02.603829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c3786254af992f6e55b81ab1ac0f25171d76141f99e32efb256bed287384a5

Aliases

arxiv: 1504.03838 · arxiv_version: 1504.03838v4 · doi: 10.48550/arxiv.1504.03838 · pith_short_12: 6DBXQYSUV6MS · pith_short_16: 6DBXQYSUV6MS63SV · pith_short_8: 6DBXQYSU

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/6DBXQYSUV6MS63SVXANLDLAPEU \
  | 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: f0c3786254af992f6e55b81ab1ac0f25171d76141f99e32efb256bed287384a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62668211f1724a97b92d00693f0b97469008164abb142918172d44e8f45f08e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-15T09:33:56Z",
    "title_canon_sha256": "e0811214c4ad31e64c68d6640e5aa29537bff28397cc2234c4f19121e4e9c3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03838",
    "kind": "arxiv",
    "version": 4
  }
}