Pith Number

pith:PKKRXPZ6

pith:2011:PKKRXPZ6KUOOVAVLDFHZLOBHYK

not attested not anchored not stored refs pending

On the Capacity of Multiplicative Finite-Field Matrix Channels

Bartolomeu F. Uch\^oa-Filho, Danilo Silva, Roberto W. N\'obrega

arxiv:1105.6115 v4 · 2011-05-30 · 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{PKKRXPZ6KUOOVAVLDFHZLOBHYK}

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	2026-05-18T03:27:43.051548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a951bbf3e551cea82ab194f95b827c28baa91f6e86f87652286408c08dc38ab

Aliases

arxiv: 1105.6115 · arxiv_version: 1105.6115v4 · doi: 10.48550/arxiv.1105.6115 · pith_short_12: PKKRXPZ6KUOO · pith_short_16: PKKRXPZ6KUOOVAVL · pith_short_8: PKKRXPZ6

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/PKKRXPZ6KUOOVAVLDFHZLOBHYK \
  | 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: 7a951bbf3e551cea82ab194f95b827c28baa91f6e86f87652286408c08dc38ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df34c079cc9d583149ebb51a45a2ea8415dbc6de96bfdff2f87674239651ccb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-05-30T21:13:37Z",
    "title_canon_sha256": "8f43ebc768024fd2bfd5597601462245b1d18c62a5a09826315df6a6553f354b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6115",
    "kind": "arxiv",
    "version": 4
  }
}