Pith Number

pith:DC4RWD6E

pith:2013:DC4RWD6EPUXU4TCKPZU2SESGFG

not attested not anchored not stored refs pending

Empirical distribution of good channel codes with non-vanishing error probability (extended version)

Sergio Verdu, Yury Polyanskiy

arxiv:1309.0141 v1 · 2013-08-31 · cs.IT · math.IT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DC4RWD6EPUXU4TCKPZU2SESGFG}

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	2026-05-18T03:14:28.741238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b91b0fc47d2f4e4c4a7e69a9124629ab323bf6040797c95f5697d0066ec446

Aliases

arxiv: 1309.0141 · arxiv_version: 1309.0141v1 · doi: 10.48550/arxiv.1309.0141 · pith_short_12: DC4RWD6EPUXU · pith_short_16: DC4RWD6EPUXU4TCK · pith_short_8: DC4RWD6E

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/DC4RWD6EPUXU4TCKPZU2SESGFG \
  | 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: 18b91b0fc47d2f4e4c4a7e69a9124629ab323bf6040797c95f5697d0066ec446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89f8eac8b6aca2148f0b8d0913651dbf1ada10ebd8c5574a26ae59fe2d3075c",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-31T18:02:46Z",
    "title_canon_sha256": "f44bfe967ad988b8bb2fc5ffcc1c254c0c4b1451e35c75ad0595e566ac1889c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0141",
    "kind": "arxiv",
    "version": 1
  }
}