Pith Number

pith:GRHMUC5L

pith:2012:GRHMUC5LEFYJ5IIPY2AHJPAOAS

not attested not anchored not stored refs pending

On the existence of large degree Galois representations for fields of small discriminant

Frank Thorne, Jeremy Rouse

arxiv:1211.1353 v3 · 2012-11-06 · 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{GRHMUC5LEFYJ5IIPY2AHJPAOAS}

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	2026-05-18T01:22:26.034460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344eca0bab21709ea10fc68074bc0e04ac223f6c7797cdee73882ac5bee13949

Aliases

arxiv: 1211.1353 · arxiv_version: 1211.1353v3 · doi: 10.48550/arxiv.1211.1353 · pith_short_12: GRHMUC5LEFYJ · pith_short_16: GRHMUC5LEFYJ5IIP · pith_short_8: GRHMUC5L

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/GRHMUC5LEFYJ5IIPY2AHJPAOAS \
  | 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: 344eca0bab21709ea10fc68074bc0e04ac223f6c7797cdee73882ac5bee13949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dc856bbf99278ba74c43bfeccd01971c6a2b5ae074d9dd908fafa2c20e2b02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-06T19:23:32Z",
    "title_canon_sha256": "214aff61018a245383854af1016c1c5071cb1ec5f1e426232ecc4a1cf905a8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1353",
    "kind": "arxiv",
    "version": 3
  }
}