Pith Number

pith:2YMXTKL7

pith:2008:2YMXTKL7EOLGA6CCYIG6C36ZNJ

not attested not anchored not stored refs pending

Opportunistic Collaborative Beamforming with One-Bit Feedback

D. Richard Brown III, H. Vincent Poor, Man-On Pun

arxiv:0807.2475 v1 · 2008-07-15 · 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{2YMXTKL7EOLGA6CCYIG6C36ZNJ}

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	2026-05-18T00:59:11.713763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61979a97f2396607842c20de16fd96a63e3125b9573c17bfddfd436e3aa122d

Aliases

arxiv: 0807.2475 · arxiv_version: 0807.2475v1 · doi: 10.48550/arxiv.0807.2475 · pith_short_12: 2YMXTKL7EOLG · pith_short_16: 2YMXTKL7EOLGA6CC · pith_short_8: 2YMXTKL7

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/2YMXTKL7EOLGA6CCYIG6C36ZNJ \
  | 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: d61979a97f2396607842c20de16fd96a63e3125b9573c17bfddfd436e3aa122d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e3909af34e41bcf26d13e533f3e2a6359ec03a54db36c5cd5e63a64f171995",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-07-15T22:54:15Z",
    "title_canon_sha256": "24e711a056e8371fadc95559dd03b36656ef3dbcfcc9f697b0eba660080755f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2475",
    "kind": "arxiv",
    "version": 1
  }
}