Pith Number

pith:W4PRP2QL

pith:2013:W4PRP2QLPFX6UTXWGKYTSWEZ2O

not attested not anchored not stored refs pending

The Zero-Undetected-Error Capacity Approaches the Sperner Capacity

Alex Samorodnitsky, Amos Lapidoth, Christoph Bunte

arxiv:1309.4930 v2 · 2013-09-19 · 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{W4PRP2QLPFX6UTXWGKYTSWEZ2O}

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	2026-05-18T02:41:08.908397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71f17ea0b796fea4ef632b1395899d3a237fce5ef096b88becd63b2a9b41a01

Aliases

arxiv: 1309.4930 · arxiv_version: 1309.4930v2 · doi: 10.48550/arxiv.1309.4930 · pith_short_12: W4PRP2QLPFX6 · pith_short_16: W4PRP2QLPFX6UTXW · pith_short_8: W4PRP2QL

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/W4PRP2QLPFX6UTXWGKYTSWEZ2O \
  | 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: b71f17ea0b796fea4ef632b1395899d3a237fce5ef096b88becd63b2a9b41a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea45246e3576c0d4cdd4ecf91301832200b060bcd6c8f913ceea6f1d964ef839",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-19T11:07:31Z",
    "title_canon_sha256": "843fe93ed5e4b4956122ec4101037f38d7ee526def0303f9aa3eed3ebff2fd78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4930",
    "kind": "arxiv",
    "version": 2
  }
}