Pith Number

pith:ALH2ZRP3

pith:2024:ALH2ZRP363OMINUAIJW4JKYYZ4

not attested not anchored not stored refs pending

Introduction to Shtukas and their moduli

Zhiwei Yun

arxiv:2411.10248 v1 · 2024-11-15 · 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{ALH2ZRP363OMINUAIJW4JKYYZ4}

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.

Receipt and verification

First computed	2026-07-05T09:36:02.138280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cfacc5fbf6dcc43680426dc4ab18cf045027dd267a80c7b924da5a5eb7263a

Aliases

arxiv: 2411.10248 · arxiv_version: 2411.10248v1 · doi: 10.48550/arxiv.2411.10248 · pith_short_12: ALH2ZRP363OM · pith_short_16: ALH2ZRP363OMINUA · pith_short_8: ALH2ZRP3

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/ALH2ZRP363OMINUAIJW4JKYYZ4 \
  | 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: 02cfacc5fbf6dcc43680426dc4ab18cf045027dd267a80c7b924da5a5eb7263a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1980a0f66bad22d44c27a6131005b50c02488f3bdf7261478d0a65d6665b4570",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-15T14:59:29Z",
    "title_canon_sha256": "738e6677aa4555a6cff46968e59d0c90ff1bb5cd35b653234a6d1d45881f46c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10248",
    "kind": "arxiv",
    "version": 1
  }
}