Pith Number

pith:WRDEFBN6

pith:2010:WRDEFBN6YNHWVYTZJCBKXO3NU7

not attested not anchored not stored refs pending

Delay-rate tradeoff for ergodic interference alignment in the Gaussian case

John Gill, Joseph C. Koo, William Wu

arxiv:1001.2582 v2 · 2010-01-14 · 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{WRDEFBN6YNHWVYTZJCBKXO3NU7}

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	2026-05-18T04:28:21.772084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4464285bec34f6ae2794882abbb6da7ded18c13ff5f09e3701f07e65738fc8b

Aliases

arxiv: 1001.2582 · arxiv_version: 1001.2582v2 · doi: 10.48550/arxiv.1001.2582 · pith_short_12: WRDEFBN6YNHW · pith_short_16: WRDEFBN6YNHWVYTZ · pith_short_8: WRDEFBN6

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/WRDEFBN6YNHWVYTZJCBKXO3NU7 \
  | 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: b4464285bec34f6ae2794882abbb6da7ded18c13ff5f09e3701f07e65738fc8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa8fa4d5be94ef0c7979c820b15615d4af75eee8394df73574887292468603c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-14T23:35:19Z",
    "title_canon_sha256": "34ef61755358f750e8f8d171a07cc5014539caa3337191326eb639e73febb974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2582",
    "kind": "arxiv",
    "version": 2
  }
}