Pith Number

pith:77QI2GNM

pith:2012:77QI2GNM5VFNS5RUBDCW2CYAX6

not attested not anchored not stored refs pending

A Rate-Compatible Sphere-Packing Analysis of Feedback Coding with Limited Retransmissions

Adam R. Williamson, Richard D. Wesel, Tsung-Yi Chen

arxiv:1202.1458 v2 · 2012-02-07 · 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{77QI2GNM5VFNS5RUBDCW2CYAX6}

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	2026-05-18T00:59:09.864116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe08d19aced4ad9763408c56d0b00bfb9ce897bcc63bf55ce80c192c8aaa494

Aliases

arxiv: 1202.1458 · arxiv_version: 1202.1458v2 · doi: 10.48550/arxiv.1202.1458 · pith_short_12: 77QI2GNM5VFN · pith_short_16: 77QI2GNM5VFNS5RU · pith_short_8: 77QI2GNM

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/77QI2GNM5VFNS5RUBDCW2CYAX6 \
  | 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: ffe08d19aced4ad9763408c56d0b00bfb9ce897bcc63bf55ce80c192c8aaa494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f064e787bdaea0ba4e3839bf23197441fda2a094edb07a21aa2ab58d2738c4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-07T16:31:54Z",
    "title_canon_sha256": "ba7bcd440766a12d42364e9c1762564fb80ded3cde40072fa7c8e292a5fb5ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1458",
    "kind": "arxiv",
    "version": 2
  }
}