Pith Number

pith:SBUQ4KM3

pith:2016:SBUQ4KM3NW7UGNZNA343E35EKF

not attested not anchored not stored refs pending

Strong modularity of reducible Galois representations

Nicolas Billerey, Ricardo Menares

arxiv:1604.01173 v2 · 2016-04-05 · 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{SBUQ4KM3NW7UGNZNA343E35EKF}

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	2026-05-18T01:13:39.608096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90690e299b6dbf43372d06f9b26fa4517648292ba122711d6563c66605b9dac4

Aliases

arxiv: 1604.01173 · arxiv_version: 1604.01173v2 · doi: 10.48550/arxiv.1604.01173 · pith_short_12: SBUQ4KM3NW7U · pith_short_16: SBUQ4KM3NW7UGNZN · pith_short_8: SBUQ4KM3

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/SBUQ4KM3NW7UGNZNA343E35EKF \
  | 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: 90690e299b6dbf43372d06f9b26fa4517648292ba122711d6563c66605b9dac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f37d93822f17a4e90f97f7ddff405e70e4afd0aed77513685b37ce8a13c6dcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-05T08:38:41Z",
    "title_canon_sha256": "9eda4307f8ddd49af743fd6ba4801d2b464803cc5d4c9be3fef20f07fa2dd77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01173",
    "kind": "arxiv",
    "version": 2
  }
}