Pith Number

pith:7J7CIQ2C

pith:2011:7J7CIQ2CBNHKSNRV5G3253LGFK

not attested not anchored not stored refs pending

Proof of the outage probability conjecture for MISO channels

Emmanuel Abbe, Emre Telatar, Shao-Lun Huang

arxiv:1103.5478 v1 · 2011-03-28 · 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{7J7CIQ2CBNHKSNRV5G3253LGFK}

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	2026-05-18T04:25:37.491411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7e2443420b4ea93635e9b7aeed662ab2daeb9058ef8a93db1defb6f44c0ef1

Aliases

arxiv: 1103.5478 · arxiv_version: 1103.5478v1 · doi: 10.48550/arxiv.1103.5478 · pith_short_12: 7J7CIQ2CBNHK · pith_short_16: 7J7CIQ2CBNHKSNRV · pith_short_8: 7J7CIQ2C

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/7J7CIQ2CBNHKSNRV5G3253LGFK \
  | 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: fa7e2443420b4ea93635e9b7aeed662ab2daeb9058ef8a93db1defb6f44c0ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5dddba441ec317a7925be4573a574b53e8d03637b32c94f82d923030d160e3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-03-28T20:33:46Z",
    "title_canon_sha256": "8fdb45e2bf132848dbfd79f0e3e15ce29332f96aa8271b939bd8cdb6cd2f3323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5478",
    "kind": "arxiv",
    "version": 1
  }
}