Pith Number

pith:JMPKMXDJ

pith:2017:JMPKMXDJ57V7BGNUBERCJEZKQI

not attested not anchored not stored refs pending

Filtered F-crystals on Shimura varieties of abelian type

Tom Lovering

arxiv:1702.06611 v1 · 2017-02-21 · 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{JMPKMXDJ57V7BGNUBERCJEZKQI}

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	2026-05-18T00:50:13.153674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1ea65c69efebf099b4092224932a8208935a8224c20e65afdc8f8d5a6ff8cd

Aliases

arxiv: 1702.06611 · arxiv_version: 1702.06611v1 · doi: 10.48550/arxiv.1702.06611 · pith_short_12: JMPKMXDJ57V7 · pith_short_16: JMPKMXDJ57V7BGNU · pith_short_8: JMPKMXDJ

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/JMPKMXDJ57V7BGNUBERCJEZKQI \
  | 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: 4b1ea65c69efebf099b4092224932a8208935a8224c20e65afdc8f8d5a6ff8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a2c5913c26ba0fa7c374cabfe99ecf36792a09e6dd0c62a9c8cb36a4836ad7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-21T22:55:05Z",
    "title_canon_sha256": "caf5b9d7c116662c788bd836d6504ed0c99a3ae83f8a5f4dfd1617ea4efaae84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06611",
    "kind": "arxiv",
    "version": 1
  }
}