Pith Number

pith:USOPUFFL

pith:2016:USOPUFFLSV4MXM3R2FR2ZRBIHW

not attested not anchored not stored refs pending

A Beta-Beta Achievability Bound with Applications

Austin Collins, Giuseppe Durisi, H. Vincent Poor, Wei Yang, Yury Polyanskiy

arxiv:1601.05880 v1 · 2016-01-22 · 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{USOPUFFLSV4MXM3R2FR2ZRBIHW}

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	2026-05-18T01:22:09.909410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49cfa14ab9578cbb371d163acc4283d8dffff691734f04c41996e450d639fc8

Aliases

arxiv: 1601.05880 · arxiv_version: 1601.05880v1 · doi: 10.48550/arxiv.1601.05880 · pith_short_12: USOPUFFLSV4M · pith_short_16: USOPUFFLSV4MXM3R · pith_short_8: USOPUFFL

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/USOPUFFLSV4MXM3R2FR2ZRBIHW \
  | 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: a49cfa14ab9578cbb371d163acc4283d8dffff691734f04c41996e450d639fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f4333c2bdcfec90f0b2707d6c3ca92faf2381ec413ef84c33472ea05ea68f4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-22T05:42:35Z",
    "title_canon_sha256": "6111b7c5f17070a8988c27e01ac0b4f4e458409ef949d18948c3c3166e8c067b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05880",
    "kind": "arxiv",
    "version": 1
  }
}