Pith Number

pith:Z5DLM7UK

pith:2023:Z5DLM7UKNCTCLTU65774IM6ZZQ

not attested not anchored not stored refs pending

Prismatic $F$-crystals and Lubin-Tate $(\varphi_q,\Gamma)$-modules

Samuel Marks

arxiv:2303.07620 v2 · 2023-03-14 · 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{Z5DLM7UKNCTCLTU65774IM6ZZQ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T06:09:21.475637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf46b67e8a68a625ce9eefffc433d9cc066bbb2de88e54837753e5c97f672243

Aliases

arxiv: 2303.07620 · arxiv_version: 2303.07620v2 · doi: 10.48550/arxiv.2303.07620 · pith_short_12: Z5DLM7UKNCTC · pith_short_16: Z5DLM7UKNCTCLTU6 · pith_short_8: Z5DLM7UK

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/Z5DLM7UKNCTCLTU65774IM6ZZQ \
  | 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: cf46b67e8a68a625ce9eefffc433d9cc066bbb2de88e54837753e5c97f672243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234df344ae3517f268489730741c65988bb6d3a45b07d4fa2e156114fe367023",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-14T04:16:01Z",
    "title_canon_sha256": "c5b79e8b34f9539ec3a18fb0245cccfe51140be97afec1fcc94ff6b4315edf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07620",
    "kind": "arxiv",
    "version": 2
  }
}