Pith Number

pith:F54TD666

pith:2023:F54TD666CW5OIJWTS5WUDUPCIC

not attested not anchored not stored refs pending

Log prismatic Dieudonn\'e theory for log $p$-divisible groups over $\mathcal{O}_{K}$

Heer Zhao, Matti W\"urthen

arxiv:2310.15732 v1 · 2023-10-24 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F54TD666CW5OIJWTS5WUDUPCIC}

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

2 papers in Pith

Supersingular reduction and strongly special intersections in powers of the modular curve

Lang-Trotter phenomena and unlikely intersections

Receipt and verification

First computed	2026-07-05T07:04:30.173728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7931fbde15bae426d3976d41d1e240bdf972d0ea705eb9af3bce483727aafe

Aliases

arxiv: 2310.15732 · arxiv_version: 2310.15732v1 · doi: 10.48550/arxiv.2310.15732 · pith_short_12: F54TD666CW5O · pith_short_16: F54TD666CW5OIJWT · pith_short_8: F54TD666

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/F54TD666CW5OIJWTS5WUDUPCIC \
  | 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: 2f7931fbde15bae426d3976d41d1e240bdf972d0ea705eb9af3bce483727aafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2ea9372e46cac598a1055e18322241c22932b4245ab899aaba088f62041cf3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-24T11:11:06Z",
    "title_canon_sha256": "adf8d3b01327ea839016a281496be84b00e754b0ac859614eab5d050b4d42b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.15732",
    "kind": "arxiv",
    "version": 1
  }
}