Pith Number

pith:TDZWVXOX

pith:2022:TDZWVXOX4DOB3H6ANY2RX3DQ5Z

not attested not anchored not stored refs pending

Cartier Crystals have finite global dimension

Daniel Fink, Manuel Blickle

arxiv:2211.11466 v1 · 2022-11-21 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDZWVXOX4DOB3H6ANY2RX3DQ5Z}

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

On the injective dimension of unit Cartier and Frobenius modules

Receipt and verification

First computed	2026-07-05T05:17:53.920192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f36addd7e0dc1d9fc06e351bec70ee5981540b2e825c1416e9f7bf2ec01154

Aliases

arxiv: 2211.11466 · arxiv_version: 2211.11466v1 · doi: 10.48550/arxiv.2211.11466 · pith_short_12: TDZWVXOX4DOB · pith_short_16: TDZWVXOX4DOB3H6A · pith_short_8: TDZWVXOX

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/TDZWVXOX4DOB3H6ANY2RX3DQ5Z \
  | 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: 98f36addd7e0dc1d9fc06e351bec70ee5981540b2e825c1416e9f7bf2ec01154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f072b5613c1e4849530c20e526a2dcda1e95ed4718a1884a62eb06b7143ca58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-11-21T13:53:10Z",
    "title_canon_sha256": "035033247f498193757d3002ff6a8277f442845f42706479ebaa1cff320359a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.11466",
    "kind": "arxiv",
    "version": 1
  }
}