Pith Number

pith:M6ZRI3QD

pith:2021:M6ZRI3QDFWAH7Q3DYHSNAPIX4H

not attested not anchored not stored refs pending

Conjectures and results on modular representations of $\mathrm{GL}_n(K)$ for a $p$-adic field $K$

Benjamin Schraen, Christophe Breuil, Florian Herzig, Stefano Morra, Yongquan Hu

arxiv:2102.06188 v4 · 2021-02-11 · 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{M6ZRI3QDFWAH7Q3DYHSNAPIX4H}

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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

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $\mathrm{GL}_2$

Receipt and verification

First computed	2026-07-05T06:55:46.421423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b3146e032d807fc363c1e4d03d17e1e1670863d5a2439b871d32a032494fde

Aliases

arxiv: 2102.06188 · arxiv_version: 2102.06188v4 · doi: 10.48550/arxiv.2102.06188 · pith_short_12: M6ZRI3QDFWAH · pith_short_16: M6ZRI3QDFWAH7Q3D · pith_short_8: M6ZRI3QD

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/M6ZRI3QDFWAH7Q3DYHSNAPIX4H \
  | 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: 67b3146e032d807fc363c1e4d03d17e1e1670863d5a2439b871d32a032494fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be042ab7f8237a9cf2d81e8b84e31da45c5018bcd5ee4565296176869a67b32c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-02-11T18:53:26Z",
    "title_canon_sha256": "ee295c61078ad5b905f7efc387f8e0b69c0cc71601421539297679f9f62d850f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.06188",
    "kind": "arxiv",
    "version": 4
  }
}