Pith Number

pith:WPE2UJJD

pith:2024:WPE2UJJD4SNP4SX2WT2WT4HPAG

not attested not anchored not stored refs pending

A Tannakian framework for prismatic $F$-crystals

Alex Youcis, Hiroki Kato, Naoki Imai

arxiv:2406.08259 v1 · 2024-06-12 · 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{WPE2UJJD4SNP4SX2WT2WT4HPAG}

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

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance

Syntomification and crystalline local systems

Receipt and verification

First computed	2026-07-05T08:30:57.335060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c9aa2523e49afe4afab4f569f0ef01bb1d206bb20ab03f4f32f4e81d084eb2

Aliases

arxiv: 2406.08259 · arxiv_version: 2406.08259v1 · doi: 10.48550/arxiv.2406.08259 · pith_short_12: WPE2UJJD4SNP · pith_short_16: WPE2UJJD4SNP4SX2 · pith_short_8: WPE2UJJD

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/WPE2UJJD4SNP4SX2WT2WT4HPAG \
  | 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: b3c9aa2523e49afe4afab4f569f0ef01bb1d206bb20ab03f4f32f4e81d084eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa184e79ce5c13683df9610bebe9e35f70dd50d24f7a51694c7cff9004607153",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-12T14:29:32Z",
    "title_canon_sha256": "3f4c74f332d707dc57ac78a4d4fb6fc2342f441f46f348ba1fbcc5b077804629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.08259",
    "kind": "arxiv",
    "version": 1
  }
}