Pith Number

pith:W7LL7RQ6

pith:2024:W7LL7RQ6V45LU6R6N6VSVESMBS

not attested not anchored not stored refs pending

Fontaine-Laffaille Theory over Power Series Rings

Christian Hokaj

arxiv:2407.21327 v1 · 2024-07-31 · 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{W7LL7RQ6V45LU6R6N6VSVESMBS}

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 integral analogue of Fontaine's crystalline functor

Receipt and verification

First computed	2026-07-05T08:50:37.572516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d6bfc61eaf3aba7a3e6fab2a924c0cb8723ede80725a48e6a617da3885738c

Aliases

arxiv: 2407.21327 · arxiv_version: 2407.21327v1 · doi: 10.48550/arxiv.2407.21327 · pith_short_12: W7LL7RQ6V45L · pith_short_16: W7LL7RQ6V45LU6R6 · pith_short_8: W7LL7RQ6

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/W7LL7RQ6V45LU6R6N6VSVESMBS \
  | 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: b7d6bfc61eaf3aba7a3e6fab2a924c0cb8723ede80725a48e6a617da3885738c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e7534a34e078ab80becb8e9f68e9a86b6cfc1955d9d6744eba5b973257d1e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-31T04:31:10Z",
    "title_canon_sha256": "b8a5677dd1ccb230aec45d66b65324968e689a1f6c82fe407b4b99975393dc31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21327",
    "kind": "arxiv",
    "version": 1
  }
}