Pith Number

pith:Q5MYQBLG

pith:2024:Q5MYQBLG5RZ7EKZSENJTYTZCJB

not attested not anchored not stored refs pending

Prismatic $F$-Gauges and Fontaine--Laffaille modules

Gleb Terentiuk, Vadim Vologodsky, Yujie Xu

arxiv:2402.17755 v2 · 2024-02-27 · 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{Q5MYQBLG5RZ7EKZSENJTYTZCJB}

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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	2026-07-05T11:31:38.079239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8759880566ec73f22b3223533c4f22486bbefbb0016d50059bbbb33fff15c321

Aliases

arxiv: 2402.17755 · arxiv_version: 2402.17755v2 · doi: 10.48550/arxiv.2402.17755 · pith_short_12: Q5MYQBLG5RZ7 · pith_short_16: Q5MYQBLG5RZ7EKZS · pith_short_8: Q5MYQBLG

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/Q5MYQBLG5RZ7EKZSENJTYTZCJB \
  | 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: 8759880566ec73f22b3223533c4f22486bbefbb0016d50059bbbb33fff15c321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625aa07a59c74fbe47428dc67f20640b12bd53d12aa3bc24ec398558c668c9c8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-27T18:47:13Z",
    "title_canon_sha256": "89baf2268382252d92c7b8fa164ccffea05cb9e401d50c5346d3fe04639547f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17755",
    "kind": "arxiv",
    "version": 2
  }
}