Pith Number

pith:MKE3ZBLZ

pith:2012:MKE3ZBLZTHVPKWFD6UGWIPTJ6I

not attested not anchored not stored refs pending

Chernoff Bounds for Analysis of Rate-Compatible Sphere-Packing with Numerous Transmissions

Dariush Divsalar, Richard D. Wesel, Tsung-Yi Chen

arxiv:1205.4266 v1 · 2012-05-18 · 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{MKE3ZBLZTHVPKWFD6UGWIPTJ6I}

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	2026-05-18T03:55:13.539527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6289bc857999eaf558a3f50d643e69f22ac96aa67892804e9f9d7ef8211cab4b

Aliases

arxiv: 1205.4266 · arxiv_version: 1205.4266v1 · doi: 10.48550/arxiv.1205.4266 · pith_short_12: MKE3ZBLZTHVP · pith_short_16: MKE3ZBLZTHVPKWFD · pith_short_8: MKE3ZBLZ

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/MKE3ZBLZTHVPKWFD6UGWIPTJ6I \
  | 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: 6289bc857999eaf558a3f50d643e69f22ac96aa67892804e9f9d7ef8211cab4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47205ca9e8faf695219443bb7c5aafa7829647cdd99754bc4bd17b13df6fc6d2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-18T21:15:59Z",
    "title_canon_sha256": "d99acf5f7dd5eaaa20e88af8729b2a4fd939158e1c2b982ad52ba4ce235f5529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4266",
    "kind": "arxiv",
    "version": 1
  }
}