Pith Number

pith:ZYQL6ZAE

pith:2012:ZYQL6ZAEZ3T52F5J2NBNGGZBOH

not attested not anchored not stored refs pending

A New Generalized Closed Form Expression for Average Bit Error Probability Over Rayleigh Fading Channel

H.S. Mruthyunjaya, M. Sathish Kumar, Sanjay Singh

arxiv:1210.0210 v1 · 2012-09-30 · 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{ZYQL6ZAEZ3T52F5J2NBNGGZBOH}

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	2026-05-18T03:44:22.998219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce20bf6404cee7dd17a9d342d31b2171e316e4ebd454b3d2c0751b8bac5678ab

Aliases

arxiv: 1210.0210 · arxiv_version: 1210.0210v1 · doi: 10.48550/arxiv.1210.0210 · pith_short_12: ZYQL6ZAEZ3T5 · pith_short_16: ZYQL6ZAEZ3T52F5J · pith_short_8: ZYQL6ZAE

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/ZYQL6ZAEZ3T52F5J2NBNGGZBOH \
  | 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: ce20bf6404cee7dd17a9d342d31b2171e316e4ebd454b3d2c0751b8bac5678ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29063c2a1c3937b11e5a58f5c0aad109b47efd00126d0f142e2d3f7dd43b1f09",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-30T15:21:26Z",
    "title_canon_sha256": "7395475005e999c86973ba9cc922770175fe236f95b8166a4b270d29ac0f880b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0210",
    "kind": "arxiv",
    "version": 1
  }
}