Pith Number

pith:4GKJCEYJ

pith:2012:4GKJCEYJPJRAKJZUX5T5NKDIXJ

not attested not anchored not stored refs pending

Monodromy of Galois representations and equal-rank subalgebra equivalence

Chun Yin Hui

arxiv:1204.5271 v4 · 2012-04-24 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GKJCEYJPJRAKJZUX5T5NKDIXJ}

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	2026-05-18T03:03:22.217099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1949113097a62052734bf67d6a868ba598928d8038dce2514776dd01567b2f1

Aliases

arxiv: 1204.5271 · arxiv_version: 1204.5271v4 · doi: 10.48550/arxiv.1204.5271 · pith_short_12: 4GKJCEYJPJRA · pith_short_16: 4GKJCEYJPJRAKJZU · pith_short_8: 4GKJCEYJ

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/4GKJCEYJPJRAKJZUX5T5NKDIXJ \
  | 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: e1949113097a62052734bf67d6a868ba598928d8038dce2514776dd01567b2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8465081e20c171650f1896406e40c485a7961b109733853ab2ece87c61701dc1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-24T05:31:10Z",
    "title_canon_sha256": "a51c27d81b84b52043bc690a6a78494522ba3e2632e65ccaa706a7a281c10184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5271",
    "kind": "arxiv",
    "version": 4
  }
}