Pith Number

pith:ZFIJTZ7T

pith:2018:ZFIJTZ7TQPEIFLTPXN5QJ7KO7D

not attested not anchored not stored refs pending

The Frobenius exponent of Cartier subalgebras

Felipe P\'erez, Florian Enescu

arxiv:1811.03682 v1 · 2018-11-08 · 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{ZFIJTZ7TQPEIFLTPXN5QJ7KO7D}

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	2026-05-18T00:01:12.365125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95099e7f383c882ae6fbb7b04fd4ef8c94a19d7ffdb253efaf2b80d6ca18d48

Aliases

arxiv: 1811.03682 · arxiv_version: 1811.03682v1 · doi: 10.48550/arxiv.1811.03682 · pith_short_12: ZFIJTZ7TQPEI · pith_short_16: ZFIJTZ7TQPEIFLTP · pith_short_8: ZFIJTZ7T

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/ZFIJTZ7TQPEIFLTPXN5QJ7KO7D \
  | 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: c95099e7f383c882ae6fbb7b04fd4ef8c94a19d7ffdb253efaf2b80d6ca18d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315129a478abb7abb869f280c2063244aa4a642d2d33668885368599e3830c0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-08T21:17:01Z",
    "title_canon_sha256": "a55ed168909a2d285b5846a8ff5355d9f5e1a550fa85cb35dd674aa061b4b880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03682",
    "kind": "arxiv",
    "version": 1
  }
}