Pith Number

pith:H6VFUOY4

pith:2008:H6VFUOY44LXP3ZWM2X7GRFWNAY

not attested not anchored not stored refs pending

Quadratic Forms and Space-Time Block Codes from Generalized Quaternion and Biquaternion Algebras

Nadya Markin, Thomas Unger

arxiv:0807.0199 v4 · 2008-07-01 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6VFUOY44LXP3ZWM2X7GRFWNAY}

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	2026-05-18T04:03:07.689683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3faa5a3b1ce2eefde6ccd5fe6896cd060d7a19c56aff7c09356da1470021910d

Aliases

arxiv: 0807.0199 · arxiv_version: 0807.0199v4 · doi: 10.48550/arxiv.0807.0199 · pith_short_12: H6VFUOY44LXP · pith_short_16: H6VFUOY44LXP3ZWM · pith_short_8: H6VFUOY4

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/H6VFUOY44LXP3ZWM2X7GRFWNAY \
  | 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: 3faa5a3b1ce2eefde6ccd5fe6896cd060d7a19c56aff7c09356da1470021910d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8713ff29751c88863bc65b50cf0d6b5d107b1b3ed1c257a861dd6e0601d5909c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-07-01T17:41:49Z",
    "title_canon_sha256": "709192fb3b1d7a6bc4c39a0a838d89dfa877b5299956222a91d9c991a39e64b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0199",
    "kind": "arxiv",
    "version": 4
  }
}