Pith Number

pith:55VQSPUF

pith:2018:55VQSPUFXOZVEZJDE2F6M4RNQP

not attested not anchored not stored refs pending

Reductions of modular Galois representations of Slope (2,3)

Aftab Pande, Enno Nagel

arxiv:1801.08820 v4 · 2018-01-26 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55VQSPUFXOZVEZJDE2F6M4RNQP}

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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.

Cited by

1 paper in Pith

Reductions of some two-dimensional crystalline representations via Kisin modules

Receipt and verification

First computed	2026-07-05T11:13:53.197055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6b093e85bbb3526523268be6722d83c45340b204093d0277fa90212ade62e1

Aliases

arxiv: 1801.08820 · arxiv_version: 1801.08820v4 · doi: 10.48550/arxiv.1801.08820 · pith_short_12: 55VQSPUFXOZV · pith_short_16: 55VQSPUFXOZVEZJD · pith_short_8: 55VQSPUF

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/55VQSPUFXOZVEZJDE2F6M4RNQP \
  | 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: ef6b093e85bbb3526523268be6722d83c45340b204093d0277fa90212ade62e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82851744fcdc957d8d9806ecb052a635136536aa5b914d507b04f0046504a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-26T14:17:03Z",
    "title_canon_sha256": "36ee4fde621ddbaa7850942632e26982391bc215395a207177b737aa9873ca59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08820",
    "kind": "arxiv",
    "version": 4
  }
}