Pith Number

pith:ZBPV2DEB

pith:2017:ZBPV2DEBDGFCAQUU4UI6IKAVL6

not attested not anchored not stored refs pending

Joint Sum Rate And Error Probability Optimization: Finite Blocklength Analysis

Behrooz Makki, Mahdi Haghifam, Masoumeh Nasiri-Kenari, Mohammad Robat Mili, Tommy Svensson

arxiv:1707.09735 v2 · 2017-07-31 · 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{ZBPV2DEBDGFCAQUU4UI6IKAVL6}

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	2026-05-18T00:25:28.921815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85f5d0c81198a204294e511e428155fa0ad82c21167f393be6ec9c1b95da80b

Aliases

arxiv: 1707.09735 · arxiv_version: 1707.09735v2 · doi: 10.48550/arxiv.1707.09735 · pith_short_12: ZBPV2DEBDGFC · pith_short_16: ZBPV2DEBDGFCAQUU · pith_short_8: ZBPV2DEB

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/ZBPV2DEBDGFCAQUU4UI6IKAVL6 \
  | 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: c85f5d0c81198a204294e511e428155fa0ad82c21167f393be6ec9c1b95da80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d639cb58a0b0cdb2cd2967dc98543701d7e7cda9ebc75cdf2560a04e850f6fd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-31T06:53:40Z",
    "title_canon_sha256": "bb083864f9dc231794f0116ee63e1e4de9dd0b2d8adcc28e4e25e7fdbf4fadd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09735",
    "kind": "arxiv",
    "version": 2
  }
}