Pith Number

pith:645GM3L4

pith:2011:645GM3L4TO7EDCO2U64WZPSXJN

not attested not anchored not stored refs pending

Precoder Design for Physical Layer Multicasting

Hao Zhu, Narayan Prasad, Sampath Rangarajan

arxiv:1109.6269 v2 · 2011-09-28 · 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{645GM3L4TO7EDCO2U64WZPSXJN}

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	2026-05-18T02:00:21.989903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73a666d7c9bbe4189daa7b96cbe574b604bcf2ba9761d051100f2e7ce8fb310

Aliases

arxiv: 1109.6269 · arxiv_version: 1109.6269v2 · doi: 10.48550/arxiv.1109.6269 · pith_short_12: 645GM3L4TO7E · pith_short_16: 645GM3L4TO7EDCO2 · pith_short_8: 645GM3L4

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/645GM3L4TO7EDCO2U64WZPSXJN \
  | 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: f73a666d7c9bbe4189daa7b96cbe574b604bcf2ba9761d051100f2e7ce8fb310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f514d7a80bd113c155070330cdabdb5458547af1135b1d3310c6e1ffe9cf7ce",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-28T16:54:18Z",
    "title_canon_sha256": "6de04e232828e7e454fab21182a037937904cf3b8922fa7f26c85b3f9270a124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6269",
    "kind": "arxiv",
    "version": 2
  }
}