Pith Number

pith:VQRGGFNB

pith:2021:VQRGGFNBTNXBSVT2ZMQPXK3BLY

not attested not anchored not stored refs pending

Capacity of Noisy Permutation Channels

Jennifer Tang, Yury Polyanskiy

arxiv:2111.00559 v4 · 2021-10-31 · 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{VQRGGFNBTNXBSVT2ZMQPXK3BLY}

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	2026-07-05T07:05:38.439738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac226315a19b6e19567acb20fbab615e1a667a94f37a2656c0a29abce17a71de

Aliases

arxiv: 2111.00559 · arxiv_version: 2111.00559v4 · doi: 10.48550/arxiv.2111.00559 · pith_short_12: VQRGGFNBTNXB · pith_short_16: VQRGGFNBTNXBSVT2 · pith_short_8: VQRGGFNB

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/VQRGGFNBTNXBSVT2ZMQPXK3BLY \
  | 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: ac226315a19b6e19567acb20fbab615e1a667a94f37a2656c0a29abce17a71de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf285aa55d25eafaeddc2cfc897072e238890d2f5ba8725706a1a8a0c8de3bb1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-10-31T18:07:23Z",
    "title_canon_sha256": "d4bbb2b754ad9fd85184473ae4a1f92fa0f4ec7aede15723803e92dc07a9fe37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00559",
    "kind": "arxiv",
    "version": 4
  }
}