Pith Number

pith:42GBNEZH

pith:2013:42GBNEZHNQ456EROKZJ3RUD55H

not attested not anchored not stored refs pending

Bilayer Protograph Codes for Half-Duplex Relay Channels

Aria Nosratinia, Dariush Divsalar, Thuy Van Nguyen

arxiv:1302.4516 v1 · 2013-02-19 · 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{42GBNEZHNQ456EROKZJ3RUD55H}

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	2026-05-18T00:57:56.569195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68c1693276c39df122e5653b8d07de9e98204c9c420de534996c7e49e9037b5

Aliases

arxiv: 1302.4516 · arxiv_version: 1302.4516v1 · doi: 10.48550/arxiv.1302.4516 · pith_short_12: 42GBNEZHNQ45 · pith_short_16: 42GBNEZHNQ456ERO · pith_short_8: 42GBNEZH

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/42GBNEZHNQ456EROKZJ3RUD55H \
  | 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: e68c1693276c39df122e5653b8d07de9e98204c9c420de534996c7e49e9037b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d1f963d06fcf988c6a9f2436a76cf0386ea1af72b47806cd8fd5f841117b42",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-19T04:54:35Z",
    "title_canon_sha256": "b7e782e1c4db6ab37369f272f521605f45af0f995d10b86b3a3d119ea11b548f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4516",
    "kind": "arxiv",
    "version": 1
  }
}