Pith Number

pith:4XFHFDMD

pith:2011:4XFHFDMDOG5KR2FBJNLOEX6XCF

not attested not anchored not stored refs pending

On the Capacity of Abelian Group Codes Over Discrete Memoryless Channels

Aria Ghasemian Sahebi, S. Sandeep Pradhan

arxiv:1102.3243 v1 · 2011-02-16 · 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{4XFHFDMDOG5KR2FBJNLOEX6XCF}

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	2026-05-18T04:28:36.776365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ca728d8371baa8e8a14b56e25fd7116aef5feb76079aeda87b66bbc6368ca5

Aliases

arxiv: 1102.3243 · arxiv_version: 1102.3243v1 · doi: 10.48550/arxiv.1102.3243 · pith_short_12: 4XFHFDMDOG5K · pith_short_16: 4XFHFDMDOG5KR2FB · pith_short_8: 4XFHFDMD

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/4XFHFDMDOG5KR2FBJNLOEX6XCF \
  | 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: e5ca728d8371baa8e8a14b56e25fd7116aef5feb76079aeda87b66bbc6368ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49fff06499cc0421f023bbd9886ac611520d8da1708540e3de874140e4a28d7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-16T05:26:11Z",
    "title_canon_sha256": "3ae4313775b0abbe3c974595775df756bc5ea3e581a5f59020b52061cea2ec71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3243",
    "kind": "arxiv",
    "version": 1
  }
}