Pith Number

pith:WVDCXUT3

pith:2012:WVDCXUT324EKE5ZGIDUVTWWVZO

not attested not anchored not stored refs pending

A Note on Potential Diagonalizability of Crystalline Representations

Hui Gao, Tong Liu

arxiv:1204.4704 v2 · 2012-04-20 · 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{WVDCXUT324EKE5ZGIDUVTWWVZO}

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	2026-05-18T02:40:18.943239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5462bd27bd708a2772640e959dad5cb9191336d115c0d8f4468caecc07cc730

Aliases

arxiv: 1204.4704 · arxiv_version: 1204.4704v2 · doi: 10.48550/arxiv.1204.4704 · pith_short_12: WVDCXUT324EK · pith_short_16: WVDCXUT324EKE5ZG · pith_short_8: WVDCXUT3

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/WVDCXUT324EKE5ZGIDUVTWWVZO \
  | 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: b5462bd27bd708a2772640e959dad5cb9191336d115c0d8f4468caecc07cc730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc679b42f95c2fe875edd8a7d3f14dc2340f46770ef5f900a7d7d254fd14c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-20T19:12:29Z",
    "title_canon_sha256": "f7e6e7e0673a3e2d31cb63b4f498fbbab356cc297118040218fe17aff840ea1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4704",
    "kind": "arxiv",
    "version": 2
  }
}