Pith Number

pith:PIPKIIAE

pith:2012:PIPKIIAE3UNHG3ZQRVXLWHX27R

not attested not anchored not stored refs pending

On the existence of rotated $D_n$-lattices constructed via Galois extensions

Grasiele Cristiane Jorge, Sueli Irene Rodrigues Costa

arxiv:1206.6149 v2 · 2012-06-27 · 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{PIPKIIAE3UNHG3ZQRVXLWHX27R}

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	2026-05-18T03:41:41.994461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1ea42004dd1a736f308d6ebb1efafc49839352d5f5c999ee88f454ff5d2cfc

Aliases

arxiv: 1206.6149 · arxiv_version: 1206.6149v2 · doi: 10.48550/arxiv.1206.6149 · pith_short_12: PIPKIIAE3UNH · pith_short_16: PIPKIIAE3UNHG3ZQ · pith_short_8: PIPKIIAE

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/PIPKIIAE3UNHG3ZQRVXLWHX27R \
  | 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: 7a1ea42004dd1a736f308d6ebb1efafc49839352d5f5c999ee88f454ff5d2cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e3534d22efd1dec876d4c01d1351c41f10b6c566c7d261a774cafb42cba291",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-27T00:49:25Z",
    "title_canon_sha256": "36f0dae6230fa5b379e29d9299e31a2ffbe54fe9feb302f4d656a112c00de873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6149",
    "kind": "arxiv",
    "version": 2
  }
}