Pith Number

pith:TV437S4U

pith:2016:TV437S4U7PSJ7KX5FL3DV5QNRR

not attested not anchored not stored refs pending

Multivariable ({\phi},{\Gamma})-modules and products of Galois groups

Gergely Z\'abr\'adi

arxiv:1603.04231 v3 · 2016-03-14 · 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{TV437S4U7PSJ7KX5FL3DV5QNRR}

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	2026-05-18T00:11:24.082428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d79bfcb94fbe49faafd2af63af60d8c78917fb30ea0a7bb508cc04df86222d6

Aliases

arxiv: 1603.04231 · arxiv_version: 1603.04231v3 · doi: 10.48550/arxiv.1603.04231 · pith_short_12: TV437S4U7PSJ · pith_short_16: TV437S4U7PSJ7KX5 · pith_short_8: TV437S4U

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/TV437S4U7PSJ7KX5FL3DV5QNRR \
  | 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: 9d79bfcb94fbe49faafd2af63af60d8c78917fb30ea0a7bb508cc04df86222d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2138ca1570a4a39dbae0d235650314eceaa3c2d83e3ed27b30ea0b6ab42c64fe",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-14T12:14:44Z",
    "title_canon_sha256": "7ef571f9907414b8cf71ed7bb58fb664876edeee9cfb9d21ac875f8d1f7a2a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04231",
    "kind": "arxiv",
    "version": 3
  }
}