Pith Number

pith:JUM44WGT

pith:2011:JUM44WGTOQFODFEEM3XWIRPFT2

not attested not anchored not stored refs pending

Completion Time in Broadcast Channel and Interference Channel

Elza Erkip, Yuanpeng Liu

arxiv:1110.0215 v1 · 2011-10-02 · 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{JUM44WGTOQFODFEEM3XWIRPFT2}

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	2026-05-18T04:11:50.528530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d19ce58d3740ae1948466ef6445e59ea6fe8113c2df93f142481d8304837432

Aliases

arxiv: 1110.0215 · arxiv_version: 1110.0215v1 · doi: 10.48550/arxiv.1110.0215 · pith_short_12: JUM44WGTOQFO · pith_short_16: JUM44WGTOQFODFEE · pith_short_8: JUM44WGT

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/JUM44WGTOQFODFEEM3XWIRPFT2 \
  | 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: 4d19ce58d3740ae1948466ef6445e59ea6fe8113c2df93f142481d8304837432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5645b1e7af81ac0aaa744b95622ba12afa8077c50f77531046f151a0e21c94",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-10-02T19:10:00Z",
    "title_canon_sha256": "547305dd254ca19aa8e6d8a762d9270dfe75cbfdba52fe801e3a4ddf1c7fc938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0215",
    "kind": "arxiv",
    "version": 1
  }
}