Pith Number

pith:R2L3E277

pith:2011:R2L3E2776CXEQQBTJV3IOXJJP2

not attested not anchored not stored refs pending

On the Degree of Freedom for Multi-Source Multi-Destination Wireless Network with Multi-layer Relays

Chung Chan, Feng Liu, Ying Jun (Angela) Zhang

arxiv:1101.2288 v1 · 2011-01-12 · 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{R2L3E2776CXEQQBTJV3IOXJJP2}

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	2026-05-18T02:22:58.444339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e97b26bfff0ae4840334d76875d297e918c21b66c6e83ab535edee9dbeb185b

Aliases

arxiv: 1101.2288 · arxiv_version: 1101.2288v1 · doi: 10.48550/arxiv.1101.2288 · pith_short_12: R2L3E2776CXE · pith_short_16: R2L3E2776CXEQQBT · pith_short_8: R2L3E277

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/R2L3E2776CXEQQBTJV3IOXJJP2 \
  | 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: 8e97b26bfff0ae4840334d76875d297e918c21b66c6e83ab535edee9dbeb185b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40ce160e2944ff57a7e848a474ccd411dfb691f1101274fb6ba0d6a476a54f5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-12T08:04:17Z",
    "title_canon_sha256": "ead2b979f36c27a28b6d315b066e39b05737b5429405b941522c6abc0afdfdb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2288",
    "kind": "arxiv",
    "version": 1
  }
}