Pith Number

pith:MV2PFWLP

pith:2022:MV2PFWLPY3JHV22EWKPHUAFEJY

not attested not anchored not stored refs pending

$\mathcal{G}$-$\mu$-displays and local shtuka

Sebastian Bartling

arxiv:2206.13194 v1 · 2022-06-27 · 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{MV2PFWLPY3JHV22EWKPHUAFEJY}

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.

Cited by

3 papers in Pith

Relative representability and parahoric level structures

Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings

An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Receipt and verification

First computed	2026-07-05T04:35:03.462771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6574f2d96fc6d27aeb44b29e7a00a44e2f3707c4de2dd4dcbb974cdf08235b2c

Aliases

arxiv: 2206.13194 · arxiv_version: 2206.13194v1 · doi: 10.48550/arxiv.2206.13194 · pith_short_12: MV2PFWLPY3JH · pith_short_16: MV2PFWLPY3JHV22E · pith_short_8: MV2PFWLP

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/MV2PFWLPY3JHV22EWKPHUAFEJY \
  | 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: 6574f2d96fc6d27aeb44b29e7a00a44e2f3707c4de2dd4dcbb974cdf08235b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03693db5e436a4e92da71df32915fca7c10d17ce369ee2a143112ff8e6189b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-27T11:19:00Z",
    "title_canon_sha256": "801eb42c2d7188c7175cd78c67eb73f75a0f369b810724cd84dfd9863c3bd940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13194",
    "kind": "arxiv",
    "version": 1
  }
}