Pith Number

pith:SWUHOMVV

pith:2011:SWUHOMVVKS3FDXR2BHMQFLHL3B

not attested not anchored not stored refs pending

Polar codes for the m-user multiple access channels

Rajai Nasser

arxiv:1112.1770 v1 · 2011-12-08 · 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{SWUHOMVVKS3FDXR2BHMQFLHL3B}

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	2026-05-18T04:06:45.685604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a87732b554b651de3a09d902acebd86614f1c46a4746ae66e18b26c35091dc

Aliases

arxiv: 1112.1770 · arxiv_version: 1112.1770v1 · doi: 10.48550/arxiv.1112.1770 · pith_short_12: SWUHOMVVKS3F · pith_short_16: SWUHOMVVKS3FDXR2 · pith_short_8: SWUHOMVV

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/SWUHOMVVKS3FDXR2BHMQFLHL3B \
  | 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: 95a87732b554b651de3a09d902acebd86614f1c46a4746ae66e18b26c35091dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcb87c072bf72cf3588d4e305adc0059fd477af99e1eeacd69220236305e31f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-08T07:01:08Z",
    "title_canon_sha256": "d28fdaaddba901f66fe4a06b1602aadf8da1e070c4450b44acbe80da781dadbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1770",
    "kind": "arxiv",
    "version": 1
  }
}