Pith Number

pith:TMKTAGCL

pith:2008:TMKTAGCLUNRNOO5VX5AEMCKNAC

not attested not anchored not stored refs pending

Code diversity in multiple antenna wireless communication

Robert Calderbank, Yiyue Wu

arxiv:0809.2639 v1 · 2008-09-16 · 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{TMKTAGCLUNRNOO5VX5AEMCKNAC}

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	2026-05-18T02:15:34.568573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1530184ba362d73bb5bf4046094d00bc117ff7127b167fa7fbae63d16dd983

Aliases

arxiv: 0809.2639 · arxiv_version: 0809.2639v1 · doi: 10.48550/arxiv.0809.2639 · pith_short_12: TMKTAGCLUNRN · pith_short_16: TMKTAGCLUNRNOO5V · pith_short_8: TMKTAGCL

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/TMKTAGCLUNRNOO5VX5AEMCKNAC \
  | 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: 9b1530184ba362d73bb5bf4046094d00bc117ff7127b167fa7fbae63d16dd983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e82ab29fc09511365101432b264af0d02efb7b70bd981bef188024d46ee886",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-09-16T05:30:39Z",
    "title_canon_sha256": "026fb3fa2286457e77d82ae25216d2c1f02068c75feebdb2d05e0386a2933a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2639",
    "kind": "arxiv",
    "version": 1
  }
}