Pith Number

pith:PRNR2A46

pith:2015:PRNR2A46ZIXZ6IEFBSBVBQFBBE

not attested not anchored not stored refs pending

One-Shot Mutual Covering Lemma and Marton's Inner Bound with a Common Message

Jingbo Liu, Paul Cuff, Sergio Verdu

arxiv:1504.04092 v3 · 2015-04-16 · 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{PRNR2A46ZIXZ6IEFBSBVBQFBBE}

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	2026-05-18T01:25:47.131932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5b1d039eca2f9f20850c8350c0a1091676a38efa607c9f5cdde9f577705f82

Aliases

arxiv: 1504.04092 · arxiv_version: 1504.04092v3 · doi: 10.48550/arxiv.1504.04092 · pith_short_12: PRNR2A46ZIXZ · pith_short_16: PRNR2A46ZIXZ6IEF · pith_short_8: PRNR2A46

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/PRNR2A46ZIXZ6IEFBSBVBQFBBE \
  | 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: 7c5b1d039eca2f9f20850c8350c0a1091676a38efa607c9f5cdde9f577705f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d19b4a6fe4b9890a1e3b0994f65ff1b2e648d8844b9e6ad2b74ddff3cc6979",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-04-16T03:31:26Z",
    "title_canon_sha256": "135b9e759d3356a08564ba0723853d23327bc300ff5409f754cdcb04a197870e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04092",
    "kind": "arxiv",
    "version": 3
  }
}