Pith Number

pith:GKNLNP75

pith:2010:GKNLNP75PBU3S7S7TI3IM4FST2

not attested not anchored not stored refs pending

Polar Codes for the m-User MAC

Emmanuel Abbe, Emre Telatar

arxiv:1002.0777 v2 · 2010-02-03 · cs.IT · cs.DM · math.CO · 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{GKNLNP75PBU3S7S7TI3IM4FST2}

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	2026-05-18T04:42:33.710235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329ab6bffd7869b97e5f9a368670b29e9131d1f792ab0836f17dcedf082eb15c

Aliases

arxiv: 1002.0777 · arxiv_version: 1002.0777v2 · doi: 10.48550/arxiv.1002.0777 · pith_short_12: GKNLNP75PBU3 · pith_short_16: GKNLNP75PBU3S7S7 · pith_short_8: GKNLNP75

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/GKNLNP75PBU3S7S7TI3IM4FST2 \
  | 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: 329ab6bffd7869b97e5f9a368670b29e9131d1f792ab0836f17dcedf082eb15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5b2158f2aa1766c754f553c0ca4e29b45654fc0c30493257d3a3ed727be1d7",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-03T16:10:31Z",
    "title_canon_sha256": "dd7026e82db1247745b461711c8da97a5e68d7bcc8538976404f8dfe1bc29051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0777",
    "kind": "arxiv",
    "version": 2
  }
}