Pith Number

pith:GDJU363T

pith:2008:GDJU363TFVW4RW6AHZGJOIPAGK

not attested not anchored not stored refs pending

Optimal Encoding Schemes for Several Classes of Discrete Degraded Broadcast Channels

Bike Xie, Richard D. Wesel, Thomas Courtade

arxiv:0811.4162 v5 · 2008-11-25 · 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{GDJU363TFVW4RW6AHZGJOIPAGK}

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	2026-05-18T04:10:34.718923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d34dfb732d6dc8dbc03e4c9721e032a294364b5d1b0d7496bb0e25c9d59ec3

Aliases

arxiv: 0811.4162 · arxiv_version: 0811.4162v5 · doi: 10.48550/arxiv.0811.4162 · pith_short_12: GDJU363TFVW4 · pith_short_16: GDJU363TFVW4RW6A · pith_short_8: GDJU363T

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/GDJU363TFVW4RW6AHZGJOIPAGK \
  | 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: 30d34dfb732d6dc8dbc03e4c9721e032a294364b5d1b0d7496bb0e25c9d59ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75238295ab6374fa1a51206554c3b7d5ad1501e28b247edc8cfff31b974f3295",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-11-25T19:20:05Z",
    "title_canon_sha256": "1f3b11d9191cc07cdedfa27162f82cb69857ea73f9297fdc44a128b2c8aa69b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4162",
    "kind": "arxiv",
    "version": 5
  }
}