Pith Number

pith:6AUQTYFP

pith:2016:6AUQTYFPTBG4WSRKJLG5E6JL4Q

not attested not anchored not stored refs pending

Lattices in crystalline representations and Kisin modules associated with iterate extensions

Yoshiyasu Ozeki

arxiv:1609.04490 v2 · 2016-09-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AUQTYFPTBG4WSRKJLG5E6JL4Q}

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	2026-05-18T00:44:52.291649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02909e0af984dcb4a2a4acdd2792be435b4ca6ce3764460c891d4e2637c3853

Aliases

arxiv: 1609.04490 · arxiv_version: 1609.04490v2 · doi: 10.48550/arxiv.1609.04490 · pith_short_12: 6AUQTYFPTBG4 · pith_short_16: 6AUQTYFPTBG4WSRK · pith_short_8: 6AUQTYFP

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/6AUQTYFPTBG4WSRKJLG5E6JL4Q \
  | 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: f02909e0af984dcb4a2a4acdd2792be435b4ca6ce3764460c891d4e2637c3853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d61bf55ca616e37e74249f1272e295e74a24dc74d0c5067c5bfac38aabe10aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-15T01:46:05Z",
    "title_canon_sha256": "37b3ab9dcb655545ca8b5114b2d71928a424eed11f6f115ac9d9b3b129de5b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04490",
    "kind": "arxiv",
    "version": 2
  }
}