Pith Number

pith:IU3Z3EYG

pith:2018:IU3Z3EYGVF3P73BLJK4CAZ7OBE

not attested not anchored not stored refs pending

On Frobenius semisimplicity in Hida families

Jyoti Prakash Saha

arxiv:1801.03070 v2 · 2018-01-09 · 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{IU3Z3EYGVF3P73BLJK4CAZ7OBE}

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	2026-05-18T00:26:14.089239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45379d9306a976ffec2b4ab82067ee090b6cfe5d0320ac76d892368edfa24861

Aliases

arxiv: 1801.03070 · arxiv_version: 1801.03070v2 · doi: 10.48550/arxiv.1801.03070 · pith_short_12: IU3Z3EYGVF3P · pith_short_16: IU3Z3EYGVF3P73BL · pith_short_8: IU3Z3EYG

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/IU3Z3EYGVF3P73BLJK4CAZ7OBE \
  | 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: 45379d9306a976ffec2b4ab82067ee090b6cfe5d0320ac76d892368edfa24861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22269c2d2f43f5f4facaea177c29b829cd3f14e4d8a36465f03c8a3a9f5a5dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-09T18:25:57Z",
    "title_canon_sha256": "5b2c5f299addde7468f9a541ec45b40d348f9c38c93b66830a210c3fbe9a6ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03070",
    "kind": "arxiv",
    "version": 2
  }
}